Adding upstream version 4:7.4.7.upstream/4%7.4.7upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

16 files changed, 16296 insertions, 0 deletions

diff --git a/basegfx/source/polygon/WaveLine.cxx b/basegfx/source/polygon/WaveLine.cxx
new file mode 100644
index 000000000..bc85c4536
--- /dev/null
+++ b/basegfx/source/polygon/WaveLine.cxx
@@ -0,0 +1,52 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ */
+
+#include <basegfx/polygon/WaveLine.hxx>
+#include <basegfx/point/b2dpoint.hxx>
+
+namespace basegfx
+{
+BASEGFX_DLLPUBLIC B2DPolygon createWaveLinePolygon(basegfx::B2DRectangle const& rRectangle)
+{
+    basegfx::B2DPolygon aPolygon;
+
+    double fWaveHeight = rRectangle.getHeight();
+    // Wavelength depends on the wave height so it looks nice
+    double fHalfWaveLength = fWaveHeight + 1.0;
+    double fWaveAmplitude = fWaveHeight / 2.0;
+
+    double fLastX = rRectangle.getMinX();
+    double fBaseY = rRectangle.getMinY() + fWaveAmplitude;
+    double fDirection = 1.0;
+
+    // In quadratic bezier the curve is 1/2 of the control height
+    // so we need to compensate for that.
+    constexpr double fHeightCompensation = 2.0;
+
+    aPolygon.append(basegfx::B2DPoint(fLastX, fBaseY));
+
+    for (double fI = fHalfWaveLength; fI <= rRectangle.getWidth(); fI += fHalfWaveLength)
+    {
+        basegfx::B2DPoint aPoint(fLastX + fHalfWaveLength, fBaseY);
+        basegfx::B2DPoint aControl(fLastX + (fHalfWaveLength / 2.0),
+                                   fBaseY + fDirection * fWaveAmplitude * fHeightCompensation);
+
+        aPolygon.appendQuadraticBezierSegment(aControl, aPoint);
+
+        fLastX = aPoint.getX(); // next iteration
+        fDirection *= -1.0; // fDirection iterates between 1 and -1
+    }
+
+    return aPolygon;
+}
+
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dlinegeometry.cxx b/basegfx/source/polygon/b2dlinegeometry.cxx
new file mode 100644
index 000000000..6dda8f9e7
--- /dev/null
+++ b/basegfx/source/polygon/b2dlinegeometry.cxx
@@ -0,0 +1,1056 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <osl/diagnose.h>
+#include <sal/log.hxx>
+#include <basegfx/polygon/b2dlinegeometry.hxx>
+#include <basegfx/point/b2dpoint.hxx>
+#include <basegfx/vector/b2dvector.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <basegfx/polygon/b2dpolypolygontools.hxx>
+#include <basegfx/range/b2drange.hxx>
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <basegfx/curve/b2dcubicbezier.hxx>
+#include <basegfx/matrix/b2dhommatrixtools.hxx>
+#include <com/sun/star/drawing/LineCap.hpp>
+#include <basegfx/polygon/b2dpolypolygoncutter.hxx>
+#include <basegfx/polygon/b2dpolygontriangulator.hxx>
+
+namespace basegfx::utils
+{
+        B2DPolyPolygon createAreaGeometryForLineStartEnd(
+            const B2DPolygon& rCandidate,
+            const B2DPolyPolygon& rArrow,
+            bool bStart,
+            double fWidth,
+            double fCandidateLength,
+            double fDockingPosition, // 0->top, 1->bottom
+            double* pConsumedLength,
+            double fShift)
+        {
+            B2DPolyPolygon aRetval;
+            assert((rCandidate.count() > 1) && "createAreaGeometryForLineStartEnd: Line polygon has too few points");
+            assert((rArrow.count() > 0) && "createAreaGeometryForLineStartEnd: Empty arrow utils::PolyPolygon");
+            assert((fWidth > 0.0) && "createAreaGeometryForLineStartEnd: Width too small");
+            assert((fDockingPosition >= 0.0 && fDockingPosition <= 1.0) &&
+                "createAreaGeometryForLineStartEnd: fDockingPosition out of range [0.0 .. 1.0]");
+
+            if(fWidth < 0.0)
+            {
+                fWidth = -fWidth;
+            }
+
+            if(rCandidate.count() > 1 && rArrow.count() && !fTools::equalZero(fWidth))
+            {
+                if(fDockingPosition < 0.0)
+                {
+                    fDockingPosition = 0.0;
+                }
+                else if(fDockingPosition > 1.0)
+                {
+                    fDockingPosition = 1.0;
+                }
+
+                // init return value from arrow
+                aRetval.append(rArrow);
+
+                // get size of the arrow
+                const B2DRange aArrowSize(getRange(rArrow));
+
+                // build ArrowTransform; center in X, align with axis in Y
+                B2DHomMatrix aArrowTransform(basegfx::utils::createTranslateB2DHomMatrix(
+                    -aArrowSize.getCenter().getX(), -aArrowSize.getMinimum().getY()));
+
+                // scale to target size
+                const double fArrowScale(fWidth / (aArrowSize.getWidth()));
+                aArrowTransform.scale(fArrowScale, fArrowScale);
+
+                // get arrow size in Y
+                B2DPoint aUpperCenter(aArrowSize.getCenter().getX(), aArrowSize.getMaximum().getY());
+                aUpperCenter *= aArrowTransform;
+                const double fArrowYLength(B2DVector(aUpperCenter).getLength());
+
+                // move arrow to have docking position centered
+                aArrowTransform.translate(0.0, -fArrowYLength * fDockingPosition + fShift);
+
+                // prepare polygon length
+                if(fTools::equalZero(fCandidateLength))
+                {
+                    fCandidateLength = getLength(rCandidate);
+                }
+
+                // get the polygon vector we want to plant this arrow on
+                const double fConsumedLength(fArrowYLength * (1.0 - fDockingPosition) - fShift);
+                const B2DVector aHead(rCandidate.getB2DPoint(bStart ? 0 : rCandidate.count() - 1));
+                const B2DVector aTail(getPositionAbsolute(rCandidate,
+                    bStart ? fConsumedLength : fCandidateLength - fConsumedLength, fCandidateLength));
+
+                // from that vector, take the needed rotation and add rotate for arrow to transformation
+                const B2DVector aTargetDirection(aHead - aTail);
+                const double fRotation(atan2(aTargetDirection.getY(), aTargetDirection.getX()) + M_PI_2);
+
+                // rotate around docking position
+                aArrowTransform.rotate(fRotation);
+
+                // move arrow docking position to polygon head
+                aArrowTransform.translate(aHead.getX(), aHead.getY());
+
+                // transform retval and close
+                aRetval.transform(aArrowTransform);
+                aRetval.setClosed(true);
+
+                // if pConsumedLength is asked for, fill it
+                if(pConsumedLength)
+                {
+                    *pConsumedLength = fConsumedLength;
+                }
+            }
+
+            return aRetval;
+        }
+} // end of namespace
+
+namespace basegfx
+{
+    // anonymous namespace for local helpers
+    namespace
+    {
+        bool impIsSimpleEdge(const B2DCubicBezier& rCandidate, double fMaxCosQuad, double fMaxPartOfEdgeQuad)
+        {
+            // isBezier() is true, already tested by caller
+            const B2DVector aEdge(rCandidate.getEndPoint() - rCandidate.getStartPoint());
+
+            if(aEdge.equalZero())
+            {
+                // start and end point the same, but control vectors used -> balloon curve loop
+                // is not a simple edge
+                return false;
+            }
+
+            // get tangentA and scalar with edge
+            const B2DVector aTangentA(rCandidate.getTangent(0.0));
+            const double fScalarAE(aEdge.scalar(aTangentA));
+
+            if(fTools::lessOrEqual(fScalarAE, 0.0))
+            {
+                // angle between TangentA and Edge is bigger or equal 90 degrees
+                return false;
+            }
+
+            // get self-scalars for E and A
+            const double fScalarE(aEdge.scalar(aEdge));
+            const double fScalarA(aTangentA.scalar(aTangentA));
+            const double fLengthCompareE(fScalarE * fMaxPartOfEdgeQuad);
+
+            if(fTools::moreOrEqual(fScalarA, fLengthCompareE))
+            {
+                // length of TangentA is more than fMaxPartOfEdge of length of edge
+                return false;
+            }
+
+            if(fTools::lessOrEqual(fScalarAE * fScalarAE, fScalarA * fScalarE * fMaxCosQuad))
+            {
+                // angle between TangentA and Edge is bigger or equal angle defined by fMaxCos
+                return false;
+            }
+
+            // get tangentB and scalar with edge
+            const B2DVector aTangentB(rCandidate.getTangent(1.0));
+            const double fScalarBE(aEdge.scalar(aTangentB));
+
+            if(fTools::lessOrEqual(fScalarBE, 0.0))
+            {
+                // angle between TangentB and Edge is bigger or equal 90 degrees
+                return false;
+            }
+
+            // get self-scalar for B
+            const double fScalarB(aTangentB.scalar(aTangentB));
+
+            if(fTools::moreOrEqual(fScalarB, fLengthCompareE))
+            {
+                // length of TangentB is more than fMaxPartOfEdge of length of edge
+                return false;
+            }
+
+            if(fTools::lessOrEqual(fScalarBE * fScalarBE, fScalarB * fScalarE * fMaxCosQuad))
+            {
+                // angle between TangentB and Edge is bigger or equal defined by fMaxCos
+                return false;
+            }
+
+            return true;
+        }
+
+        void impSubdivideToSimple(const B2DCubicBezier& rCandidate, B2DPolygon& rTarget, double fMaxCosQuad, double fMaxPartOfEdgeQuad, sal_uInt32 nMaxRecursionDepth)
+        {
+            if(!nMaxRecursionDepth || impIsSimpleEdge(rCandidate, fMaxCosQuad, fMaxPartOfEdgeQuad))
+            {
+                rTarget.appendBezierSegment(rCandidate.getControlPointA(), rCandidate.getControlPointB(), rCandidate.getEndPoint());
+            }
+            else
+            {
+                B2DCubicBezier aLeft, aRight;
+                rCandidate.split(0.5, &aLeft, &aRight);
+
+                impSubdivideToSimple(aLeft, rTarget, fMaxCosQuad, fMaxPartOfEdgeQuad, nMaxRecursionDepth - 1);
+                impSubdivideToSimple(aRight, rTarget, fMaxCosQuad, fMaxPartOfEdgeQuad, nMaxRecursionDepth - 1);
+            }
+        }
+
+        B2DPolygon subdivideToSimple(const B2DPolygon& rCandidate, double fMaxCosQuad, double fMaxPartOfEdgeQuad)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(rCandidate.areControlPointsUsed() && nPointCount)
+            {
+                const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                B2DPolygon aRetval;
+                B2DCubicBezier aEdge;
+
+                // prepare edge for loop
+                aEdge.setStartPoint(rCandidate.getB2DPoint(0));
+                aRetval.append(aEdge.getStartPoint());
+
+                for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                {
+                    // fill B2DCubicBezier
+                    const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                    aEdge.setControlPointA(rCandidate.getNextControlPoint(a));
+                    aEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+                    aEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+
+                    // get rid of unnecessary bezier segments
+                    aEdge.testAndSolveTrivialBezier();
+
+                    if(aEdge.isBezier())
+                    {
+                        // before splitting recursively with internal simple criteria, use
+                        // ExtremumPosFinder to remove those
+                        std::vector< double > aExtremumPositions;
+
+                        aExtremumPositions.reserve(4);
+                        aEdge.getAllExtremumPositions(aExtremumPositions);
+
+                        const sal_uInt32 nCount(aExtremumPositions.size());
+
+                        if(nCount)
+                        {
+                            if(nCount > 1)
+                            {
+                                // create order from left to right
+                                std::sort(aExtremumPositions.begin(), aExtremumPositions.end());
+                            }
+
+                            for(sal_uInt32 b(0); b < nCount;)
+                            {
+                                // split aEdge at next split pos
+                                B2DCubicBezier aLeft;
+                                const double fSplitPos(aExtremumPositions[b++]);
+
+                                aEdge.split(fSplitPos, &aLeft, &aEdge);
+                                aLeft.testAndSolveTrivialBezier();
+
+                                // consume left part
+                                if(aLeft.isBezier())
+                                {
+                                    impSubdivideToSimple(aLeft, aRetval, fMaxCosQuad, fMaxPartOfEdgeQuad, 6);
+                                }
+                                else
+                                {
+                                    aRetval.append(aLeft.getEndPoint());
+                                }
+
+                                if(b < nCount)
+                                {
+                                    // correct the remaining split positions to fit to shortened aEdge
+                                    const double fScaleFactor(1.0 / (1.0 - fSplitPos));
+
+                                    for(sal_uInt32 c(b); c < nCount; c++)
+                                    {
+                                        aExtremumPositions[c] = (aExtremumPositions[c] - fSplitPos) * fScaleFactor;
+                                    }
+                                }
+                            }
+
+                            // test the shortened rest of aEdge
+                            aEdge.testAndSolveTrivialBezier();
+
+                            // consume right part
+                            if(aEdge.isBezier())
+                            {
+                                impSubdivideToSimple(aEdge, aRetval, fMaxCosQuad, fMaxPartOfEdgeQuad, 6);
+                            }
+                            else
+                            {
+                                aRetval.append(aEdge.getEndPoint());
+                            }
+                        }
+                        else
+                        {
+                            impSubdivideToSimple(aEdge, aRetval, fMaxCosQuad, fMaxPartOfEdgeQuad, 6);
+                        }
+                    }
+                    else
+                    {
+                        // straight edge, add point
+                        aRetval.append(aEdge.getEndPoint());
+                    }
+
+                    // prepare edge for next step
+                    aEdge.setStartPoint(aEdge.getEndPoint());
+                }
+
+                // copy closed flag and check for double points
+                aRetval.setClosed(rCandidate.isClosed());
+                aRetval.removeDoublePoints();
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DPolygon createAreaGeometryForEdge(
+            const B2DCubicBezier& rEdge,
+            double fHalfLineWidth,
+            bool bStartRound,
+            bool bEndRound,
+            bool bStartSquare,
+            bool bEndSquare,
+            basegfx::triangulator::B2DTriangleVector* pTriangles)
+        {
+            // create polygon for edge
+            // Unfortunately, while it would be geometrically correct to not add
+            // the in-between points EdgeEnd and EdgeStart, it leads to rounding
+            // errors when converting to integer polygon coordinates for painting
+            if(rEdge.isBezier())
+            {
+                // prepare target and data common for upper and lower
+                B2DPolygon aBezierPolygon;
+                const B2DVector aPureEdgeVector(rEdge.getEndPoint() - rEdge.getStartPoint());
+                const double fEdgeLength(aPureEdgeVector.getLength());
+                const bool bIsEdgeLengthZero(fTools::equalZero(fEdgeLength));
+                B2DVector aTangentA(rEdge.getTangent(0.0)); aTangentA.normalize();
+                B2DVector aTangentB(rEdge.getTangent(1.0)); aTangentB.normalize();
+                const B2DVector aNormalizedPerpendicularA(getPerpendicular(aTangentA));
+                const B2DVector aNormalizedPerpendicularB(getPerpendicular(aTangentB));
+
+                // create upper displacement vectors and check if they cut
+                const B2DVector aPerpendStartA(aNormalizedPerpendicularA * -fHalfLineWidth);
+                const B2DVector aPerpendEndA(aNormalizedPerpendicularB * -fHalfLineWidth);
+                double fCutA(0.0);
+                const CutFlagValue aCutA(utils::findCut(
+                    rEdge.getStartPoint(), aPerpendStartA,
+                    rEdge.getEndPoint(), aPerpendEndA,
+                    CutFlagValue::ALL, &fCutA));
+                const bool bCutA(aCutA != CutFlagValue::NONE);
+
+                // create lower displacement vectors and check if they cut
+                const B2DVector aPerpendStartB(aNormalizedPerpendicularA * fHalfLineWidth);
+                const B2DVector aPerpendEndB(aNormalizedPerpendicularB * fHalfLineWidth);
+                double fCutB(0.0);
+                const CutFlagValue aCutB(utils::findCut(
+                    rEdge.getEndPoint(), aPerpendEndB,
+                    rEdge.getStartPoint(), aPerpendStartB,
+                    CutFlagValue::ALL, &fCutB));
+                const bool bCutB(aCutB != CutFlagValue::NONE);
+
+                // check if cut happens
+                const bool bCut(bCutA || bCutB);
+                B2DPoint aCutPoint;
+
+                // create left edge
+                if(bStartRound || bStartSquare)
+                {
+                    if(bStartRound)
+                    {
+                        basegfx::B2DPolygon aStartPolygon(utils::createHalfUnitCircle());
+
+                        aStartPolygon.transform(
+                            utils::createScaleShearXRotateTranslateB2DHomMatrix(
+                                fHalfLineWidth, fHalfLineWidth,
+                                0.0,
+                                atan2(aTangentA.getY(), aTangentA.getX()) + M_PI_2,
+                                rEdge.getStartPoint().getX(), rEdge.getStartPoint().getY()));
+                        aBezierPolygon.append(aStartPolygon);
+                    }
+                    else // bStartSquare
+                    {
+                        const basegfx::B2DPoint aStart(rEdge.getStartPoint() - (aTangentA * fHalfLineWidth));
+
+                        if(bCutB)
+                        {
+                            aBezierPolygon.append(rEdge.getStartPoint() + aPerpendStartB);
+                        }
+
+                        aBezierPolygon.append(aStart + aPerpendStartB);
+                        aBezierPolygon.append(aStart + aPerpendStartA);
+
+                        if(bCutA)
+                        {
+                            aBezierPolygon.append(rEdge.getStartPoint() + aPerpendStartA);
+                        }
+                    }
+                }
+                else
+                {
+                    // append original in-between point
+                    aBezierPolygon.append(rEdge.getStartPoint());
+                }
+
+                // create upper edge.
+                {
+                    if(bCutA)
+                    {
+                        // calculate cut point and add
+                        aCutPoint = rEdge.getStartPoint() + (aPerpendStartA * fCutA);
+                        aBezierPolygon.append(aCutPoint);
+                    }
+                    else
+                    {
+                        // create scaled bezier segment
+                        const B2DPoint aStart(rEdge.getStartPoint() + aPerpendStartA);
+                        const B2DPoint aEnd(rEdge.getEndPoint() + aPerpendEndA);
+                        const B2DVector aEdge(aEnd - aStart);
+                        const double fLength(aEdge.getLength());
+                        const double fScale(bIsEdgeLengthZero ? 1.0 : fLength / fEdgeLength);
+                        const B2DVector fRelNext(rEdge.getControlPointA() - rEdge.getStartPoint());
+                        const B2DVector fRelPrev(rEdge.getControlPointB() - rEdge.getEndPoint());
+
+                        aBezierPolygon.append(aStart);
+                        aBezierPolygon.appendBezierSegment(aStart + (fRelNext * fScale), aEnd + (fRelPrev * fScale), aEnd);
+                    }
+                }
+
+                // create right edge
+                if(bEndRound || bEndSquare)
+                {
+                    if(bEndRound)
+                    {
+                        basegfx::B2DPolygon aEndPolygon(utils::createHalfUnitCircle());
+
+                        aEndPolygon.transform(
+                            utils::createScaleShearXRotateTranslateB2DHomMatrix(
+                                fHalfLineWidth, fHalfLineWidth,
+                                0.0,
+                                atan2(aTangentB.getY(), aTangentB.getX()) - M_PI_2,
+                                rEdge.getEndPoint().getX(), rEdge.getEndPoint().getY()));
+                        aBezierPolygon.append(aEndPolygon);
+                    }
+                    else // bEndSquare
+                    {
+                        const basegfx::B2DPoint aEnd(rEdge.getEndPoint() + (aTangentB * fHalfLineWidth));
+
+                        if(bCutA)
+                        {
+                            aBezierPolygon.append(rEdge.getEndPoint() + aPerpendEndA);
+                        }
+
+                        aBezierPolygon.append(aEnd + aPerpendEndA);
+                        aBezierPolygon.append(aEnd + aPerpendEndB);
+
+                        if(bCutB)
+                        {
+                            aBezierPolygon.append(rEdge.getEndPoint() + aPerpendEndB);
+                        }
+                    }
+                }
+                else
+                {
+                    // append original in-between point
+                    aBezierPolygon.append(rEdge.getEndPoint());
+                }
+
+                // create lower edge.
+                {
+                    if(bCutB)
+                    {
+                        // calculate cut point and add
+                        aCutPoint = rEdge.getEndPoint() + (aPerpendEndB * fCutB);
+                        aBezierPolygon.append(aCutPoint);
+                    }
+                    else
+                    {
+                        // create scaled bezier segment
+                        const B2DPoint aStart(rEdge.getEndPoint() + aPerpendEndB);
+                        const B2DPoint aEnd(rEdge.getStartPoint() + aPerpendStartB);
+                        const B2DVector aEdge(aEnd - aStart);
+                        const double fLength(aEdge.getLength());
+                        const double fScale(bIsEdgeLengthZero ? 1.0 : fLength / fEdgeLength);
+                        const B2DVector fRelNext(rEdge.getControlPointB() - rEdge.getEndPoint());
+                        const B2DVector fRelPrev(rEdge.getControlPointA() - rEdge.getStartPoint());
+
+                        aBezierPolygon.append(aStart);
+                        aBezierPolygon.appendBezierSegment(aStart + (fRelNext * fScale), aEnd + (fRelPrev * fScale), aEnd);
+                    }
+                }
+
+                // close
+                aBezierPolygon.setClosed(true);
+
+                if(bStartRound || bEndRound)
+                {
+                    // double points possible when round caps are used at start or end
+                    aBezierPolygon.removeDoublePoints();
+                }
+
+                if(bCut && ((bStartRound || bStartSquare) && (bEndRound || bEndSquare)))
+                {
+                    // When cut exists and both ends are extended with caps, a self-intersecting polygon
+                    // is created; one cut point is known, but there is a 2nd one in the caps geometry.
+                    // Solve by using tooling.
+                    // Remark: This nearly never happens due to curve preparations to extreme points
+                    // and maximum angle turning, but I constructed a test case and checked that it is
+                    // working properly.
+                    const B2DPolyPolygon aTemp(utils::solveCrossovers(aBezierPolygon));
+                    const sal_uInt32 nTempCount(aTemp.count());
+
+                    if(nTempCount)
+                    {
+                        if(nTempCount > 1)
+                        {
+                            // as expected, multiple polygons (with same orientation). Remove
+                            // the one which contains aCutPoint, or better take the one without
+                            for (sal_uInt32 a(0); a < nTempCount; a++)
+                            {
+                                aBezierPolygon = aTemp.getB2DPolygon(a);
+
+                                const sal_uInt32 nCandCount(aBezierPolygon.count());
+
+                                for(sal_uInt32 b(0); b < nCandCount; b++)
+                                {
+                                    if(aCutPoint.equal(aBezierPolygon.getB2DPoint(b)))
+                                    {
+                                        aBezierPolygon.clear();
+                                        break;
+                                    }
+                                }
+
+                                if(aBezierPolygon.count())
+                                {
+                                    break;
+                                }
+                            }
+
+                            OSL_ENSURE(aBezierPolygon.count(), "Error in line geometry creation, could not solve self-intersection (!)");
+                        }
+                        else
+                        {
+                            // none found, use result
+                            aBezierPolygon = aTemp.getB2DPolygon(0);
+                        }
+                    }
+                    else
+                    {
+                        OSL_ENSURE(false, "Error in line geometry creation, could not solve self-intersection (!)");
+                    }
+                }
+
+                if(nullptr != pTriangles)
+                {
+                    const basegfx::triangulator::B2DTriangleVector aResult(
+                        basegfx::triangulator::triangulate(
+                            aBezierPolygon));
+                    pTriangles->insert(pTriangles->end(), aResult.begin(), aResult.end());
+                    aBezierPolygon.clear();
+                }
+
+                // return
+                return aBezierPolygon;
+            }
+            else
+            {
+                // Get start and  end point, create tangent and set to needed length
+                B2DVector aTangent(rEdge.getEndPoint() - rEdge.getStartPoint());
+                aTangent.setLength(fHalfLineWidth);
+
+                // prepare return value
+                B2DPolygon aEdgePolygon;
+
+                // buffered angle
+                double fAngle(0.0);
+                bool bAngle(false);
+
+                // buffered perpendicular
+                B2DVector aPerpend;
+                bool bPerpend(false);
+
+                // create left vertical
+                if(bStartRound)
+                {
+                    aEdgePolygon = utils::createHalfUnitCircle();
+                    fAngle = atan2(aTangent.getY(), aTangent.getX());
+                    bAngle = true;
+                    aEdgePolygon.transform(
+                        utils::createScaleShearXRotateTranslateB2DHomMatrix(
+                            fHalfLineWidth, fHalfLineWidth,
+                            0.0,
+                            fAngle + M_PI_2,
+                            rEdge.getStartPoint().getX(), rEdge.getStartPoint().getY()));
+                }
+                else
+                {
+                    aPerpend.setX(-aTangent.getY());
+                    aPerpend.setY(aTangent.getX());
+                    bPerpend = true;
+
+                    if(bStartSquare)
+                    {
+                        const basegfx::B2DPoint aStart(rEdge.getStartPoint() - aTangent);
+
+                        aEdgePolygon.append(aStart + aPerpend);
+                        aEdgePolygon.append(aStart - aPerpend);
+                    }
+                    else
+                    {
+                        aEdgePolygon.append(rEdge.getStartPoint() + aPerpend);
+                        aEdgePolygon.append(rEdge.getStartPoint()); // keep the in-between point for numerical reasons
+                        aEdgePolygon.append(rEdge.getStartPoint() - aPerpend);
+                    }
+                }
+
+                // create right vertical
+                if(bEndRound)
+                {
+                    basegfx::B2DPolygon aEndPolygon(utils::createHalfUnitCircle());
+
+                    if(!bAngle)
+                    {
+                        fAngle = atan2(aTangent.getY(), aTangent.getX());
+                    }
+
+                    aEndPolygon.transform(
+                        utils::createScaleShearXRotateTranslateB2DHomMatrix(
+                            fHalfLineWidth, fHalfLineWidth,
+                            0.0,
+                            fAngle - M_PI_2,
+                            rEdge.getEndPoint().getX(), rEdge.getEndPoint().getY()));
+                    aEdgePolygon.append(aEndPolygon);
+                }
+                else
+                {
+                    if(!bPerpend)
+                    {
+                        aPerpend.setX(-aTangent.getY());
+                        aPerpend.setY(aTangent.getX());
+                    }
+
+                    if(bEndSquare)
+                    {
+                        const basegfx::B2DPoint aEnd(rEdge.getEndPoint() + aTangent);
+
+                        aEdgePolygon.append(aEnd - aPerpend);
+                        aEdgePolygon.append(aEnd + aPerpend);
+                    }
+                    else
+                    {
+                        aEdgePolygon.append(rEdge.getEndPoint() - aPerpend);
+                        aEdgePolygon.append(rEdge.getEndPoint()); // keep the in-between point for numerical reasons
+                        aEdgePolygon.append(rEdge.getEndPoint() + aPerpend);
+                    }
+                }
+
+                // close and return
+                aEdgePolygon.setClosed(true);
+
+                if(nullptr != pTriangles)
+                {
+                    const basegfx::triangulator::B2DTriangleVector aResult(
+                        basegfx::triangulator::triangulate(
+                            aEdgePolygon));
+                    pTriangles->insert(pTriangles->end(), aResult.begin(), aResult.end());
+                    aEdgePolygon.clear();
+                }
+
+                return aEdgePolygon;
+            }
+        }
+
+        B2DPolygon createAreaGeometryForJoin(
+            const B2DVector& rTangentPrev,
+            const B2DVector& rTangentEdge,
+            const B2DVector& rPerpendPrev,
+            const B2DVector& rPerpendEdge,
+            const B2DPoint& rPoint,
+            double fHalfLineWidth,
+            B2DLineJoin eJoin,
+            double fMiterMinimumAngle,
+            basegfx::triangulator::B2DTriangleVector* pTriangles)
+        {
+            SAL_WARN_IF(fHalfLineWidth <= 0.0,"basegfx","createAreaGeometryForJoin: LineWidth too small (!)");
+            assert((eJoin != B2DLineJoin::NONE) && "createAreaGeometryForJoin: B2DLineJoin::NONE not allowed (!)");
+
+            // LineJoin from tangent rPerpendPrev to tangent rPerpendEdge in rPoint
+            B2DPolygon aEdgePolygon;
+            const B2DPoint aStartPoint(rPoint + rPerpendPrev);
+            const B2DPoint aEndPoint(rPoint + rPerpendEdge);
+
+            // test if for Miter, the angle is too small and the fallback
+            // to bevel needs to be used
+            if(eJoin == B2DLineJoin::Miter)
+            {
+                const double fAngle(fabs(rPerpendPrev.angle(rPerpendEdge)));
+
+                if((M_PI - fAngle) < fMiterMinimumAngle)
+                {
+                    // fallback to bevel
+                    eJoin = B2DLineJoin::Bevel;
+                }
+            }
+
+            switch(eJoin)
+            {
+                case B2DLineJoin::Miter :
+                {
+                    if(nullptr != pTriangles)
+                    {
+                        pTriangles->emplace_back(
+                            aEndPoint,
+                            rPoint,
+                            aStartPoint);
+                    }
+                    else
+                    {
+                        aEdgePolygon.append(aEndPoint);
+                        aEdgePolygon.append(rPoint);
+                        aEdgePolygon.append(aStartPoint);
+                    }
+
+                    // Look for the cut point between start point along rTangentPrev and
+                    // end point along rTangentEdge. -rTangentEdge should be used, but since
+                    // the cut value is used for interpolating along the first edge, the negation
+                    // is not needed since the same fCut will be found on the first edge.
+                    // If it exists, insert it to complete the mitered fill polygon.
+                    double fCutPos(0.0);
+                    utils::findCut(aStartPoint, rTangentPrev, aEndPoint, rTangentEdge, CutFlagValue::ALL, &fCutPos);
+
+                    if(fCutPos != 0.0)
+                    {
+                        const B2DPoint aCutPoint(aStartPoint + (rTangentPrev * fCutPos));
+
+                        if(nullptr != pTriangles)
+                        {
+                            pTriangles->emplace_back(
+                                aStartPoint,
+                                aCutPoint,
+                                aEndPoint);
+                        }
+                        else
+                        {
+                            aEdgePolygon.append(aCutPoint);
+                        }
+                    }
+
+                    break;
+                }
+                case B2DLineJoin::Round :
+                {
+                    // use tooling to add needed EllipseSegment
+                    double fAngleStart(atan2(rPerpendPrev.getY(), rPerpendPrev.getX()));
+                    double fAngleEnd(atan2(rPerpendEdge.getY(), rPerpendEdge.getX()));
+
+                    // atan2 results are [-PI .. PI], consolidate to [0.0 .. 2PI]
+                    if(fAngleStart < 0.0)
+                    {
+                        fAngleStart += 2 * M_PI;
+                    }
+
+                    if(fAngleEnd < 0.0)
+                    {
+                        fAngleEnd += 2 * M_PI;
+                    }
+
+                    const B2DPolygon aBow(utils::createPolygonFromEllipseSegment(rPoint, fHalfLineWidth, fHalfLineWidth, fAngleStart, fAngleEnd));
+
+                    if(aBow.count() > 1)
+                    {
+                        if(nullptr != pTriangles)
+                        {
+                            for(sal_uInt32 a(0); a < aBow.count() - 1; a++)
+                            {
+                                pTriangles->emplace_back(
+                                    0 == a ? aStartPoint : aBow.getB2DPoint(a),
+                                    rPoint,
+                                    aBow.count() - 1 == a + 1 ? aEndPoint : aBow.getB2DPoint(a + 1));
+                            }
+                        }
+                        else
+                        {
+                            // #i101491#
+                            // use the original start/end positions; the ones from bow creation may be numerically
+                            // different due to their different creation. To guarantee good merging quality with edges
+                            // and edge roundings (and to reduce point count)
+                            aEdgePolygon = aBow;
+                            aEdgePolygon.setB2DPoint(0, aStartPoint);
+                            aEdgePolygon.setB2DPoint(aEdgePolygon.count() - 1, aEndPoint);
+                            aEdgePolygon.append(rPoint);
+                        }
+
+                        break;
+                    }
+                    else
+                    {
+                        [[fallthrough]]; // wanted fall-through to default
+                    }
+                }
+                default: // B2DLineJoin::Bevel
+                {
+                    if(nullptr != pTriangles)
+                    {
+                        pTriangles->emplace_back(
+                            aEndPoint,
+                            rPoint,
+                            aStartPoint);
+                    }
+                    else
+                    {
+                        aEdgePolygon.append(aEndPoint);
+                        aEdgePolygon.append(rPoint);
+                        aEdgePolygon.append(aStartPoint);
+                    }
+
+                    break;
+                }
+            }
+
+            // create last polygon part for edge
+            aEdgePolygon.setClosed(true);
+
+            return aEdgePolygon;
+        }
+    } // end of anonymous namespace
+
+    namespace utils
+    {
+        B2DPolyPolygon createAreaGeometry(
+            const B2DPolygon& rCandidate,
+            double fHalfLineWidth,
+            B2DLineJoin eJoin,
+            css::drawing::LineCap eCap,
+            double fMaxAllowedAngle,
+            double fMaxPartOfEdge,
+            double fMiterMinimumAngle,
+            basegfx::triangulator::B2DTriangleVector* pTriangles)
+        {
+            if(fMaxAllowedAngle > M_PI_2)
+            {
+                fMaxAllowedAngle = M_PI_2;
+            }
+            else if(fMaxAllowedAngle < 0.01 * M_PI_2)
+            {
+                fMaxAllowedAngle = 0.01 * M_PI_2;
+            }
+
+            if(fMaxPartOfEdge > 1.0)
+            {
+                fMaxPartOfEdge = 1.0;
+            }
+            else if(fMaxPartOfEdge < 0.01)
+            {
+                fMaxPartOfEdge = 0.01;
+            }
+
+            if(fMiterMinimumAngle > M_PI)
+            {
+                fMiterMinimumAngle = M_PI;
+            }
+            else if(fMiterMinimumAngle < 0.01 * M_PI)
+            {
+                fMiterMinimumAngle = 0.01 * M_PI;
+            }
+
+            B2DPolygon aCandidate(rCandidate);
+            const double fMaxCos(cos(fMaxAllowedAngle));
+
+            aCandidate.removeDoublePoints();
+            aCandidate = subdivideToSimple(aCandidate, fMaxCos * fMaxCos, fMaxPartOfEdge * fMaxPartOfEdge);
+
+            const sal_uInt32 nPointCount(aCandidate.count());
+
+            if(nPointCount)
+            {
+                B2DPolyPolygon aRetval;
+                const bool bIsClosed(aCandidate.isClosed());
+                const sal_uInt32 nEdgeCount(bIsClosed ? nPointCount : nPointCount - 1);
+                const bool bLineCap(!bIsClosed && eCap != css::drawing::LineCap_BUTT);
+
+                if(nEdgeCount)
+                {
+                    B2DCubicBezier aEdge;
+                    B2DCubicBezier aPrev;
+
+                    const bool bEventuallyCreateLineJoin(eJoin != B2DLineJoin::NONE);
+                    // prepare edge
+                    aEdge.setStartPoint(aCandidate.getB2DPoint(0));
+
+                    if(bIsClosed && bEventuallyCreateLineJoin)
+                    {
+                        // prepare previous edge
+                        const sal_uInt32 nPrevIndex(nPointCount - 1);
+                        aPrev.setStartPoint(aCandidate.getB2DPoint(nPrevIndex));
+                        aPrev.setControlPointA(aCandidate.getNextControlPoint(nPrevIndex));
+                        aPrev.setControlPointB(aCandidate.getPrevControlPoint(0));
+                        aPrev.setEndPoint(aEdge.getStartPoint());
+                    }
+
+                    for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                    {
+                        // fill current Edge
+                        const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                        aEdge.setControlPointA(aCandidate.getNextControlPoint(a));
+                        aEdge.setControlPointB(aCandidate.getPrevControlPoint(nNextIndex));
+                        aEdge.setEndPoint(aCandidate.getB2DPoint(nNextIndex));
+
+                        // check and create linejoin
+                        if(bEventuallyCreateLineJoin && (bIsClosed || a != 0))
+                        {
+                            B2DVector aTangentPrev(aPrev.getTangent(1.0)); aTangentPrev.normalize();
+                            B2DVector aTangentEdge(aEdge.getTangent(0.0)); aTangentEdge.normalize();
+                            B2VectorOrientation aOrientation(getOrientation(aTangentPrev, aTangentEdge));
+
+                            if(aOrientation == B2VectorOrientation::Neutral)
+                            {
+                                // they are parallel or empty; if they are both not zero and point
+                                // in opposite direction, a half-circle is needed
+                                if(!aTangentPrev.equalZero() && !aTangentEdge.equalZero())
+                                {
+                                    const double fAngle(fabs(aTangentPrev.angle(aTangentEdge)));
+
+                                    if(fTools::equal(fAngle, M_PI))
+                                    {
+                                        // for half-circle production, fallback to positive
+                                        // orientation
+                                        aOrientation = B2VectorOrientation::Positive;
+                                    }
+                                }
+                            }
+
+                            if(aOrientation == B2VectorOrientation::Positive)
+                            {
+                                const B2DVector aPerpendPrev(getPerpendicular(aTangentPrev) * -fHalfLineWidth);
+                                const B2DVector aPerpendEdge(getPerpendicular(aTangentEdge) * -fHalfLineWidth);
+
+                                aRetval.append(
+                                    createAreaGeometryForJoin(
+                                        aTangentPrev,
+                                        aTangentEdge,
+                                        aPerpendPrev,
+                                        aPerpendEdge,
+                                        aEdge.getStartPoint(),
+                                        fHalfLineWidth,
+                                        eJoin,
+                                        fMiterMinimumAngle,
+                                        pTriangles));
+                            }
+                            else if(aOrientation == B2VectorOrientation::Negative)
+                            {
+                                const B2DVector aPerpendPrev(getPerpendicular(aTangentPrev) * fHalfLineWidth);
+                                const B2DVector aPerpendEdge(getPerpendicular(aTangentEdge) * fHalfLineWidth);
+
+                                aRetval.append(
+                                    createAreaGeometryForJoin(
+                                        aTangentEdge,
+                                        aTangentPrev,
+                                        aPerpendEdge,
+                                        aPerpendPrev,
+                                        aEdge.getStartPoint(),
+                                        fHalfLineWidth,
+                                        eJoin,
+                                        fMiterMinimumAngle,
+                                        pTriangles));
+                            }
+                        }
+
+                        // create geometry for edge
+                        const bool bLast(a + 1 == nEdgeCount);
+
+                        if(bLineCap)
+                        {
+                            const bool bFirst(!a);
+
+                            aRetval.append(
+                                createAreaGeometryForEdge(
+                                    aEdge,
+                                    fHalfLineWidth,
+                                    bFirst && eCap == css::drawing::LineCap_ROUND,
+                                    bLast && eCap == css::drawing::LineCap_ROUND,
+                                    bFirst && eCap == css::drawing::LineCap_SQUARE,
+                                    bLast && eCap == css::drawing::LineCap_SQUARE,
+                                    pTriangles));
+                        }
+                        else
+                        {
+                            aRetval.append(
+                                createAreaGeometryForEdge(
+                                    aEdge,
+                                    fHalfLineWidth,
+                                    false,
+                                    false,
+                                    false,
+                                    false,
+                                    pTriangles));
+                        }
+
+                        // prepare next step
+                        if(!bLast)
+                        {
+                            if(bEventuallyCreateLineJoin)
+                            {
+                                aPrev = aEdge;
+                            }
+
+                            aEdge.setStartPoint(aEdge.getEndPoint());
+                        }
+                    }
+                }
+                else
+                {
+                    // point count, but no edge count -> single point
+                    const basegfx::B2DPolygon aCircle(
+                        createPolygonFromCircle(
+                            aCandidate.getB2DPoint(0),
+                            fHalfLineWidth));
+
+                    if(nullptr != pTriangles)
+                    {
+                        const basegfx::triangulator::B2DTriangleVector aResult(
+                            basegfx::triangulator::triangulate(
+                                aCircle));
+                        pTriangles->insert(pTriangles->end(), aResult.begin(), aResult.end());
+                    }
+                    else
+                    {
+                        aRetval.append(aCircle);
+                    }
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return B2DPolyPolygon(rCandidate);
+            }
+        }
+    } // end of namespace utils
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dpolygon.cxx b/basegfx/source/polygon/b2dpolygon.cxx
new file mode 100644
index 000000000..8a4136666
--- /dev/null
+++ b/basegfx/source/polygon/b2dpolygon.cxx
@@ -0,0 +1,1498 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <osl/diagnose.h>
+#include <basegfx/polygon/b2dpolygon.hxx>
+#include <basegfx/point/b2dpoint.hxx>
+#include <basegfx/vector/b2dvector.hxx>
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <basegfx/curve/b2dcubicbezier.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <basegfx/utils/systemdependentdata.hxx>
+#include <memory>
+#include <vector>
+
+namespace
+{
+
+class CoordinateDataArray2D
+{
+private:
+    std::vector<basegfx::B2DPoint> maVector;
+
+public:
+    explicit CoordinateDataArray2D(sal_uInt32 nCount)
+    :   maVector(nCount)
+    {
+    }
+
+    CoordinateDataArray2D(const CoordinateDataArray2D& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount)
+    :   maVector(rOriginal.maVector.begin() + nIndex, rOriginal.maVector.begin() + (nIndex + nCount))
+    {
+    }
+
+    sal_uInt32 count() const
+    {
+        return maVector.size();
+    }
+
+    bool operator==(const CoordinateDataArray2D& rCandidate) const
+    {
+        return (maVector == rCandidate.maVector);
+    }
+
+    const basegfx::B2DPoint& getCoordinate(sal_uInt32 nIndex) const
+    {
+        return maVector[nIndex];
+    }
+
+    void setCoordinate(sal_uInt32 nIndex, const basegfx::B2DPoint& rValue)
+    {
+        maVector[nIndex] = rValue;
+    }
+
+    void reserve(sal_uInt32 nCount)
+    {
+        maVector.reserve(nCount);
+    }
+
+    void append(const basegfx::B2DPoint& rValue)
+    {
+        maVector.push_back(rValue);
+    }
+
+    void insert(sal_uInt32 nIndex, const basegfx::B2DPoint& rValue, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // add nCount copies of rValue
+            auto aIndex = maVector.begin();
+            aIndex += nIndex;
+            maVector.insert(aIndex, nCount, rValue);
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const CoordinateDataArray2D& rSource)
+    {
+        const sal_uInt32 nCount(rSource.maVector.size());
+
+        if(nCount)
+        {
+            // insert data
+            auto aIndex = maVector.begin();
+            aIndex += nIndex;
+            auto aStart = rSource.maVector.cbegin();
+            auto aEnd = rSource.maVector.cend();
+            maVector.insert(aIndex, aStart, aEnd);
+        }
+    }
+
+    void remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // remove point data
+            auto aStart = maVector.begin();
+            aStart += nIndex;
+            const auto aEnd = aStart + nCount;
+            maVector.erase(aStart, aEnd);
+        }
+    }
+
+    void flip(bool bIsClosed)
+    {
+        if(maVector.size() <= 1)
+            return;
+
+        // to keep the same point at index 0, just flip all points except the
+        // first one when closed
+        const sal_uInt32 nHalfSize(bIsClosed ? (maVector.size() - 1) >> 1 : maVector.size() >> 1);
+        auto aStart = bIsClosed ? maVector.begin() + 1 : maVector.begin();
+        auto aEnd = maVector.end() - 1;
+
+        for(sal_uInt32 a(0); a < nHalfSize; a++)
+        {
+            std::swap(*aStart, *aEnd);
+            ++aStart;
+            --aEnd;
+        }
+    }
+
+    void removeDoublePointsAtBeginEnd()
+    {
+        // remove from end as long as there are at least two points
+        // and begin/end are equal
+        while((maVector.size() > 1) && (maVector[0] == maVector[maVector.size() - 1]))
+        {
+            maVector.pop_back();
+        }
+    }
+
+    void removeDoublePointsWholeTrack()
+    {
+        sal_uInt32 nIndex(0);
+
+        // test as long as there are at least two points and as long as the index
+        // is smaller or equal second last point
+        while((maVector.size() > 1) && (nIndex <= maVector.size() - 2))
+        {
+            if(maVector[nIndex] == maVector[nIndex + 1])
+            {
+                // if next is same as index, delete next
+                maVector.erase(maVector.begin() + (nIndex + 1));
+            }
+            else
+            {
+                // if different, step forward
+                nIndex++;
+            }
+        }
+    }
+
+    void transform(const basegfx::B2DHomMatrix& rMatrix)
+    {
+        for (auto& point : maVector)
+        {
+            point *= rMatrix;
+        }
+    }
+};
+
+class ControlVectorPair2D
+{
+    basegfx::B2DVector                          maPrevVector;
+    basegfx::B2DVector                          maNextVector;
+
+public:
+    explicit ControlVectorPair2D() {}
+
+    const basegfx::B2DVector& getPrevVector() const
+    {
+        return maPrevVector;
+    }
+
+    void setPrevVector(const basegfx::B2DVector& rValue)
+    {
+        if(rValue != maPrevVector)
+            maPrevVector = rValue;
+    }
+
+    const basegfx::B2DVector& getNextVector() const
+    {
+        return maNextVector;
+    }
+
+    void setNextVector(const basegfx::B2DVector& rValue)
+    {
+        if(rValue != maNextVector)
+            maNextVector = rValue;
+    }
+
+    bool operator==(const ControlVectorPair2D& rData) const
+    {
+        return (maPrevVector == rData.getPrevVector() && maNextVector == rData.getNextVector());
+    }
+
+    void flip()
+    {
+        std::swap(maPrevVector, maNextVector);
+    }
+};
+
+class ControlVectorArray2D
+{
+    typedef std::vector< ControlVectorPair2D > ControlVectorPair2DVector;
+
+    ControlVectorPair2DVector                           maVector;
+    sal_uInt32                                          mnUsedVectors;
+
+public:
+    explicit ControlVectorArray2D(sal_uInt32 nCount)
+    :   maVector(nCount),
+        mnUsedVectors(0)
+    {}
+
+    ControlVectorArray2D(const ControlVectorArray2D& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount)
+    :   mnUsedVectors(0)
+    {
+        ControlVectorPair2DVector::const_iterator aStart(rOriginal.maVector.begin());
+        aStart += nIndex;
+        ControlVectorPair2DVector::const_iterator aEnd(aStart);
+        aEnd += nCount;
+        maVector.reserve(nCount);
+
+        for(; aStart != aEnd; ++aStart)
+        {
+            if(!aStart->getPrevVector().equalZero())
+                mnUsedVectors++;
+
+            if(!aStart->getNextVector().equalZero())
+                mnUsedVectors++;
+
+            maVector.push_back(*aStart);
+        }
+    }
+
+    bool operator==(const ControlVectorArray2D& rCandidate) const
+    {
+        return (maVector == rCandidate.maVector);
+    }
+
+    bool isUsed() const
+    {
+        return (mnUsedVectors != 0);
+    }
+
+    const basegfx::B2DVector& getPrevVector(sal_uInt32 nIndex) const
+    {
+        return maVector[nIndex].getPrevVector();
+    }
+
+    void setPrevVector(sal_uInt32 nIndex, const basegfx::B2DVector& rValue)
+    {
+        bool bWasUsed(mnUsedVectors && !maVector[nIndex].getPrevVector().equalZero());
+        bool bIsUsed(!rValue.equalZero());
+
+        if(bWasUsed)
+        {
+            if(bIsUsed)
+            {
+                maVector[nIndex].setPrevVector(rValue);
+            }
+            else
+            {
+                maVector[nIndex].setPrevVector(basegfx::B2DVector::getEmptyVector());
+                mnUsedVectors--;
+            }
+        }
+        else
+        {
+            if(bIsUsed)
+            {
+                maVector[nIndex].setPrevVector(rValue);
+                mnUsedVectors++;
+            }
+        }
+    }
+
+    const basegfx::B2DVector& getNextVector(sal_uInt32 nIndex) const
+    {
+        return maVector[nIndex].getNextVector();
+    }
+
+    void setNextVector(sal_uInt32 nIndex, const basegfx::B2DVector& rValue)
+    {
+        bool bWasUsed(mnUsedVectors && !maVector[nIndex].getNextVector().equalZero());
+        bool bIsUsed(!rValue.equalZero());
+
+        if(bWasUsed)
+        {
+            if(bIsUsed)
+            {
+                maVector[nIndex].setNextVector(rValue);
+            }
+            else
+            {
+                maVector[nIndex].setNextVector(basegfx::B2DVector::getEmptyVector());
+                mnUsedVectors--;
+            }
+        }
+        else
+        {
+            if(bIsUsed)
+            {
+                maVector[nIndex].setNextVector(rValue);
+                mnUsedVectors++;
+            }
+        }
+    }
+
+    void append(const ControlVectorPair2D& rValue)
+    {
+        maVector.push_back(rValue);
+
+        if(!rValue.getPrevVector().equalZero())
+            mnUsedVectors += 1;
+
+        if(!rValue.getNextVector().equalZero())
+            mnUsedVectors += 1;
+    }
+
+    void insert(sal_uInt32 nIndex, const ControlVectorPair2D& rValue, sal_uInt32 nCount)
+    {
+        if(!nCount)
+            return;
+
+        // add nCount copies of rValue
+        ControlVectorPair2DVector::iterator aIndex(maVector.begin());
+        aIndex += nIndex;
+        maVector.insert(aIndex, nCount, rValue);
+
+        if(!rValue.getPrevVector().equalZero())
+            mnUsedVectors += nCount;
+
+        if(!rValue.getNextVector().equalZero())
+            mnUsedVectors += nCount;
+    }
+
+    void insert(sal_uInt32 nIndex, const ControlVectorArray2D& rSource)
+    {
+        const sal_uInt32 nCount(rSource.maVector.size());
+
+        if(!nCount)
+            return;
+
+        // insert data
+        ControlVectorPair2DVector::iterator aIndex(maVector.begin());
+        aIndex += nIndex;
+        ControlVectorPair2DVector::const_iterator aStart(rSource.maVector.begin());
+        ControlVectorPair2DVector::const_iterator aEnd(rSource.maVector.end());
+        maVector.insert(aIndex, aStart, aEnd);
+
+        for(; aStart != aEnd; ++aStart)
+        {
+            if(!aStart->getPrevVector().equalZero())
+                mnUsedVectors++;
+
+            if(!aStart->getNextVector().equalZero())
+                mnUsedVectors++;
+        }
+    }
+
+    void remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(!nCount)
+            return;
+
+        const ControlVectorPair2DVector::iterator aDeleteStart(maVector.begin() + nIndex);
+        const ControlVectorPair2DVector::iterator aDeleteEnd(aDeleteStart + nCount);
+        ControlVectorPair2DVector::const_iterator aStart(aDeleteStart);
+
+        for(; mnUsedVectors && aStart != aDeleteEnd; ++aStart)
+        {
+            if(!aStart->getPrevVector().equalZero())
+                mnUsedVectors--;
+
+            if(mnUsedVectors && !aStart->getNextVector().equalZero())
+                mnUsedVectors--;
+        }
+
+        // remove point data
+        maVector.erase(aDeleteStart, aDeleteEnd);
+    }
+
+    void flip(bool bIsClosed)
+    {
+        if(maVector.size() <= 1)
+            return;
+
+        // to keep the same point at index 0, just flip all points except the
+        // first one when closed
+        const sal_uInt32 nHalfSize(bIsClosed ? (maVector.size() - 1) >> 1 : maVector.size() >> 1);
+        ControlVectorPair2DVector::iterator aStart(bIsClosed ? maVector.begin() + 1 : maVector.begin());
+        ControlVectorPair2DVector::iterator aEnd(maVector.end() - 1);
+
+        for(sal_uInt32 a(0); a < nHalfSize; a++)
+        {
+            // swap Prev and Next
+            aStart->flip();
+            aEnd->flip();
+
+            // swap entries
+            std::swap(*aStart, *aEnd);
+
+            ++aStart;
+            --aEnd;
+        }
+
+        if(aStart == aEnd)
+        {
+            // swap Prev and Next at middle element (if exists)
+            aStart->flip();
+        }
+
+        if(bIsClosed)
+        {
+            // swap Prev and Next at start element
+            maVector.begin()->flip();
+        }
+    }
+};
+
+class ImplBufferedData : public basegfx::SystemDependentDataHolder
+{
+private:
+    // Possibility to hold the last subdivision
+    std::optional< basegfx::B2DPolygon >  mpDefaultSubdivision;
+
+    // Possibility to hold the last B2DRange calculation
+    mutable std::optional< basegfx::B2DRange > moB2DRange;
+
+public:
+    ImplBufferedData()
+    {
+    }
+
+    const basegfx::B2DPolygon& getDefaultAdaptiveSubdivision(const basegfx::B2DPolygon& rSource) const
+    {
+        if(!mpDefaultSubdivision)
+        {
+            const_cast< ImplBufferedData* >(this)->mpDefaultSubdivision = basegfx::utils::adaptiveSubdivideByAngle(rSource);
+        }
+
+        return *mpDefaultSubdivision;
+    }
+
+    const basegfx::B2DRange& getB2DRange(const basegfx::B2DPolygon& rSource) const
+    {
+        if(!moB2DRange)
+        {
+            basegfx::B2DRange aNewRange;
+            const sal_uInt32 nPointCount(rSource.count());
+
+            if(nPointCount)
+            {
+                for(sal_uInt32 a(0); a < nPointCount; a++)
+                {
+                    aNewRange.expand(rSource.getB2DPoint(a));
+                }
+
+                if(rSource.areControlPointsUsed())
+                {
+                    const sal_uInt32 nEdgeCount(rSource.isClosed() ? nPointCount : nPointCount - 1);
+
+                    if(nEdgeCount)
+                    {
+                        basegfx::B2DCubicBezier aEdge;
+                        aEdge.setStartPoint(rSource.getB2DPoint(0));
+
+                        for(sal_uInt32 b(0); b < nEdgeCount; b++)
+                        {
+                            const sal_uInt32 nNextIndex((b + 1) % nPointCount);
+                            aEdge.setControlPointA(rSource.getNextControlPoint(b));
+                            aEdge.setControlPointB(rSource.getPrevControlPoint(nNextIndex));
+                            aEdge.setEndPoint(rSource.getB2DPoint(nNextIndex));
+
+                            if(aEdge.isBezier())
+                            {
+                                const basegfx::B2DRange aBezierRangeWithControlPoints(aEdge.getRange());
+
+                                if(!aNewRange.isInside(aBezierRangeWithControlPoints))
+                                {
+                                    // the range with control points of the current edge is not completely
+                                    // inside the current range without control points. Expand current range by
+                                    // subdividing the bezier segment.
+                                    // Ideal here is a subdivision at the extreme values, so use
+                                    // getAllExtremumPositions to get all extremas in one run
+                                    std::vector< double > aExtremas;
+
+                                    aExtremas.reserve(4);
+                                    aEdge.getAllExtremumPositions(aExtremas);
+
+                                    const sal_uInt32 nExtremaCount(aExtremas.size());
+
+                                    for(sal_uInt32 c(0); c < nExtremaCount; c++)
+                                    {
+                                        aNewRange.expand(aEdge.interpolatePoint(aExtremas[c]));
+                                    }
+                                }
+                            }
+
+                            // prepare next edge
+                            aEdge.setStartPoint(aEdge.getEndPoint());
+                        }
+                    }
+                }
+            }
+
+            moB2DRange = aNewRange;
+        }
+
+        return *moB2DRange;
+    }
+};
+
+}
+
+class ImplB2DPolygon
+{
+private:
+    // The point vector. This vector exists always and defines the
+    // count of members.
+    CoordinateDataArray2D                         maPoints;
+
+    // The control point vectors. This vectors are created on demand
+    // and may be zero.
+    std::optional< ControlVectorArray2D >         moControlVector;
+
+    // buffered data for e.g. default subdivision and range
+    std::unique_ptr< ImplBufferedData >           mpBufferedData;
+
+    // flag which decides if this polygon is opened or closed
+    bool                                          mbIsClosed;
+
+public:
+    const basegfx::B2DPolygon& getDefaultAdaptiveSubdivision(const basegfx::B2DPolygon& rSource) const
+    {
+        if(!moControlVector || !moControlVector->isUsed())
+        {
+            return rSource;
+        }
+
+        if(!mpBufferedData)
+        {
+            const_cast< ImplB2DPolygon* >(this)->mpBufferedData.reset(new ImplBufferedData);
+        }
+
+        return mpBufferedData->getDefaultAdaptiveSubdivision(rSource);
+    }
+
+    const basegfx::B2DRange& getB2DRange(const basegfx::B2DPolygon& rSource) const
+    {
+        if(!mpBufferedData)
+        {
+            const_cast< ImplB2DPolygon* >(this)->mpBufferedData.reset(new ImplBufferedData);
+        }
+
+        return mpBufferedData->getB2DRange(rSource);
+    }
+
+    ImplB2DPolygon()
+    :   maPoints(0),
+        mbIsClosed(false)
+    {}
+
+    ImplB2DPolygon(const ImplB2DPolygon& rToBeCopied)
+    :   maPoints(rToBeCopied.maPoints),
+        mbIsClosed(rToBeCopied.mbIsClosed)
+    {
+        // complete initialization using copy
+        if(rToBeCopied.moControlVector && rToBeCopied.moControlVector->isUsed())
+        {
+            moControlVector.emplace( *rToBeCopied.moControlVector );
+        }
+    }
+
+    ImplB2DPolygon(const ImplB2DPolygon& rToBeCopied, sal_uInt32 nIndex, sal_uInt32 nCount)
+    :   maPoints(rToBeCopied.maPoints, nIndex, nCount),
+        mbIsClosed(rToBeCopied.mbIsClosed)
+    {
+        // complete initialization using partly copy
+        if(rToBeCopied.moControlVector && rToBeCopied.moControlVector->isUsed())
+        {
+            moControlVector.emplace( *rToBeCopied.moControlVector, nIndex, nCount );
+
+            if(!moControlVector->isUsed())
+                moControlVector.reset();
+        }
+    }
+
+    ImplB2DPolygon& operator=(const ImplB2DPolygon& rOther)
+    {
+        if (this != &rOther)
+        {
+            moControlVector.reset();
+            mpBufferedData.reset();
+            maPoints = rOther.maPoints;
+            mbIsClosed = rOther.mbIsClosed;
+            if (rOther.moControlVector && rOther.moControlVector->isUsed())
+            {
+                moControlVector.emplace( *rOther.moControlVector );
+
+                if(!moControlVector->isUsed())
+                    moControlVector.reset();
+            }
+        }
+        return *this;
+    }
+
+    sal_uInt32 count() const
+    {
+        return maPoints.count();
+    }
+
+    bool isClosed() const
+    {
+        return mbIsClosed;
+    }
+
+    void setClosed(bool bNew)
+    {
+        if(bNew != mbIsClosed)
+        {
+            mpBufferedData.reset();
+            mbIsClosed = bNew;
+        }
+    }
+
+    bool operator==(const ImplB2DPolygon& rCandidate) const
+    {
+        if(mbIsClosed != rCandidate.mbIsClosed)
+            return false;
+        if(!(maPoints == rCandidate.maPoints))
+            return false;
+        bool bControlVectorsAreEqual(true);
+
+        if(moControlVector)
+        {
+            if(rCandidate.moControlVector)
+            {
+                bControlVectorsAreEqual = ((*moControlVector) == (*rCandidate.moControlVector));
+            }
+            else
+            {
+                // candidate has no control vector, so it's assumed all unused.
+                bControlVectorsAreEqual = !moControlVector->isUsed();
+            }
+        }
+        else
+        {
+            if(rCandidate.moControlVector)
+            {
+                // we have no control vector, so it's assumed all unused.
+                bControlVectorsAreEqual = !rCandidate.moControlVector->isUsed();
+            }
+        }
+
+        return bControlVectorsAreEqual;
+    }
+
+    const basegfx::B2DPoint& getPoint(sal_uInt32 nIndex) const
+    {
+        return maPoints.getCoordinate(nIndex);
+    }
+
+    void setPoint(sal_uInt32 nIndex, const basegfx::B2DPoint& rValue)
+    {
+        mpBufferedData.reset();
+        maPoints.setCoordinate(nIndex, rValue);
+    }
+
+    void reserve(sal_uInt32 nCount)
+    {
+        maPoints.reserve(nCount);
+    }
+
+    void append(const basegfx::B2DPoint& rPoint)
+    {
+        mpBufferedData.reset(); // TODO: is this needed?
+        const auto aCoordinate = rPoint;
+        maPoints.append(aCoordinate);
+
+        if(moControlVector)
+        {
+            const ControlVectorPair2D aVectorPair;
+            moControlVector->append(aVectorPair);
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const basegfx::B2DPoint& rPoint, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            mpBufferedData.reset();
+            auto aCoordinate = rPoint;
+            maPoints.insert(nIndex, aCoordinate, nCount);
+
+            if(moControlVector)
+            {
+                ControlVectorPair2D aVectorPair;
+                moControlVector->insert(nIndex, aVectorPair, nCount);
+            }
+        }
+    }
+
+    const basegfx::B2DVector& getPrevControlVector(sal_uInt32 nIndex) const
+    {
+        if(moControlVector)
+        {
+            return moControlVector->getPrevVector(nIndex);
+        }
+        else
+        {
+            return basegfx::B2DVector::getEmptyVector();
+        }
+    }
+
+    void setPrevControlVector(sal_uInt32 nIndex, const basegfx::B2DVector& rValue)
+    {
+        if(!moControlVector)
+        {
+            if(!rValue.equalZero())
+            {
+                mpBufferedData.reset();
+                moControlVector.emplace(maPoints.count());
+                moControlVector->setPrevVector(nIndex, rValue);
+            }
+        }
+        else
+        {
+            mpBufferedData.reset();
+            moControlVector->setPrevVector(nIndex, rValue);
+
+            if(!moControlVector->isUsed())
+                moControlVector.reset();
+        }
+    }
+
+    const basegfx::B2DVector& getNextControlVector(sal_uInt32 nIndex) const
+    {
+        if(moControlVector)
+        {
+            return moControlVector->getNextVector(nIndex);
+        }
+        else
+        {
+            return basegfx::B2DVector::getEmptyVector();
+        }
+    }
+
+    void setNextControlVector(sal_uInt32 nIndex, const basegfx::B2DVector& rValue)
+    {
+        if(!moControlVector)
+        {
+            if(!rValue.equalZero())
+            {
+                mpBufferedData.reset();
+                moControlVector.emplace(maPoints.count());
+                moControlVector->setNextVector(nIndex, rValue);
+            }
+        }
+        else
+        {
+            mpBufferedData.reset();
+            moControlVector->setNextVector(nIndex, rValue);
+
+            if(!moControlVector->isUsed())
+                moControlVector.reset();
+        }
+    }
+
+    bool areControlPointsUsed() const
+    {
+        return (moControlVector && moControlVector->isUsed());
+    }
+
+    void resetControlVectors()
+    {
+        mpBufferedData.reset();
+        moControlVector.reset();
+    }
+
+    void setControlVectors(sal_uInt32 nIndex, const basegfx::B2DVector& rPrev, const basegfx::B2DVector& rNext)
+    {
+        setPrevControlVector(nIndex, rPrev);
+        setNextControlVector(nIndex, rNext);
+    }
+
+    void appendBezierSegment(const basegfx::B2DVector& rNext, const basegfx::B2DVector& rPrev, const basegfx::B2DPoint& rPoint)
+    {
+        mpBufferedData.reset();
+        const sal_uInt32 nCount(maPoints.count());
+
+        if(nCount)
+        {
+            setNextControlVector(nCount - 1, rNext);
+        }
+
+        insert(nCount, rPoint, 1);
+        setPrevControlVector(nCount, rPrev);
+    }
+
+    void insert(sal_uInt32 nIndex, const ImplB2DPolygon& rSource)
+    {
+        const sal_uInt32 nCount(rSource.maPoints.count());
+
+        if(!nCount)
+            return;
+
+        mpBufferedData.reset();
+
+        if(rSource.moControlVector && rSource.moControlVector->isUsed() && !moControlVector)
+        {
+            moControlVector.emplace(maPoints.count());
+        }
+
+        maPoints.insert(nIndex, rSource.maPoints);
+
+        if(rSource.moControlVector)
+        {
+            moControlVector->insert(nIndex, *rSource.moControlVector);
+
+            if(!moControlVector->isUsed())
+                moControlVector.reset();
+        }
+        else if(moControlVector)
+        {
+            ControlVectorPair2D aVectorPair;
+            moControlVector->insert(nIndex, aVectorPair, nCount);
+        }
+    }
+
+    void remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(!nCount)
+            return;
+
+        mpBufferedData.reset();
+        maPoints.remove(nIndex, nCount);
+
+        if(moControlVector)
+        {
+            moControlVector->remove(nIndex, nCount);
+
+            if(!moControlVector->isUsed())
+                moControlVector.reset();
+        }
+    }
+
+    void flip()
+    {
+        if(maPoints.count() <= 1)
+            return;
+
+        mpBufferedData.reset();
+
+        // flip points
+        maPoints.flip(mbIsClosed);
+
+        if(moControlVector)
+        {
+            // flip control vector
+            moControlVector->flip(mbIsClosed);
+        }
+    }
+
+    bool hasDoublePoints() const
+    {
+        if(mbIsClosed)
+        {
+            // check for same start and end point
+            const sal_uInt32 nIndex(maPoints.count() - 1);
+
+            if(maPoints.getCoordinate(0) == maPoints.getCoordinate(nIndex))
+            {
+                if(moControlVector)
+                {
+                    if(moControlVector->getNextVector(nIndex).equalZero() && moControlVector->getPrevVector(0).equalZero())
+                    {
+                        return true;
+                    }
+                }
+                else
+                {
+                    return true;
+                }
+            }
+        }
+
+        // test for range
+        for(sal_uInt32 a(0); a < maPoints.count() - 1; a++)
+        {
+            if(maPoints.getCoordinate(a) == maPoints.getCoordinate(a + 1))
+            {
+                if(moControlVector)
+                {
+                    if(moControlVector->getNextVector(a).equalZero() && moControlVector->getPrevVector(a + 1).equalZero())
+                    {
+                        return true;
+                    }
+                }
+                else
+                {
+                    return true;
+                }
+            }
+        }
+
+        return false;
+    }
+
+    void removeDoublePointsAtBeginEnd()
+    {
+        // Only remove DoublePoints at Begin and End when poly is closed
+        if(!mbIsClosed)
+            return;
+
+        mpBufferedData.reset();
+
+        if(moControlVector)
+        {
+            bool bRemove;
+
+            do
+            {
+                bRemove = false;
+
+                if(maPoints.count() > 1)
+                {
+                    const sal_uInt32 nIndex(maPoints.count() - 1);
+
+                    if(maPoints.getCoordinate(0) == maPoints.getCoordinate(nIndex))
+                    {
+                        if(moControlVector)
+                        {
+                            if(moControlVector->getNextVector(nIndex).equalZero() && moControlVector->getPrevVector(0).equalZero())
+                            {
+                                bRemove = true;
+                            }
+                        }
+                        else
+                        {
+                            bRemove = true;
+                        }
+                    }
+                }
+
+                if(bRemove)
+                {
+                    const sal_uInt32 nIndex(maPoints.count() - 1);
+
+                    if(moControlVector && !moControlVector->getPrevVector(nIndex).equalZero())
+                    {
+                        moControlVector->setPrevVector(0, moControlVector->getPrevVector(nIndex));
+                    }
+
+                    remove(nIndex, 1);
+                }
+            }
+            while(bRemove);
+        }
+        else
+        {
+            maPoints.removeDoublePointsAtBeginEnd();
+        }
+    }
+
+    void removeDoublePointsWholeTrack()
+    {
+        mpBufferedData.reset();
+
+        if(moControlVector)
+        {
+            sal_uInt32 nIndex(0);
+
+            // test as long as there are at least two points and as long as the index
+            // is smaller or equal second last point
+            while((maPoints.count() > 1) && (nIndex <= maPoints.count() - 2))
+            {
+                bool bRemove(maPoints.getCoordinate(nIndex) == maPoints.getCoordinate(nIndex + 1));
+
+                if(bRemove && moControlVector)
+                {
+                    if(!moControlVector->getNextVector(nIndex).equalZero() || !moControlVector->getPrevVector(nIndex + 1).equalZero())
+                    {
+                        bRemove = false;
+                    }
+                }
+
+                if(bRemove)
+                {
+                    if(moControlVector && !moControlVector->getPrevVector(nIndex).equalZero())
+                    {
+                        moControlVector->setPrevVector(nIndex + 1, moControlVector->getPrevVector(nIndex));
+                    }
+
+                    // if next is same as index and the control vectors are unused, delete index
+                    remove(nIndex, 1);
+                }
+                else
+                {
+                    // if different, step forward
+                    nIndex++;
+                }
+            }
+        }
+        else
+        {
+            maPoints.removeDoublePointsWholeTrack();
+        }
+    }
+
+    void transform(const basegfx::B2DHomMatrix& rMatrix)
+    {
+        mpBufferedData.reset();
+
+        if(moControlVector)
+        {
+            for(sal_uInt32 a(0); a < maPoints.count(); a++)
+            {
+                basegfx::B2DPoint aCandidate = maPoints.getCoordinate(a);
+
+                if(moControlVector->isUsed())
+                {
+                    const basegfx::B2DVector& rPrevVector(moControlVector->getPrevVector(a));
+                    const basegfx::B2DVector& rNextVector(moControlVector->getNextVector(a));
+
+                    if(!rPrevVector.equalZero())
+                    {
+                        basegfx::B2DVector aPrevVector(rMatrix * rPrevVector);
+                        moControlVector->setPrevVector(a, aPrevVector);
+                    }
+
+                    if(!rNextVector.equalZero())
+                    {
+                        basegfx::B2DVector aNextVector(rMatrix * rNextVector);
+                        moControlVector->setNextVector(a, aNextVector);
+                    }
+                }
+
+                aCandidate *= rMatrix;
+                maPoints.setCoordinate(a, aCandidate);
+            }
+
+            if(!moControlVector->isUsed())
+                moControlVector.reset();
+        }
+        else
+        {
+            maPoints.transform(rMatrix);
+        }
+    }
+
+    void addOrReplaceSystemDependentData(basegfx::SystemDependentData_SharedPtr& rData)
+    {
+        if(!mpBufferedData)
+        {
+            mpBufferedData.reset(new ImplBufferedData);
+        }
+
+        mpBufferedData->addOrReplaceSystemDependentData(rData);
+    }
+
+    basegfx::SystemDependentData_SharedPtr getSystemDependentData(size_t hash_code) const
+    {
+        if(mpBufferedData)
+        {
+            return mpBufferedData->getSystemDependentData(hash_code);
+        }
+
+        return basegfx::SystemDependentData_SharedPtr();
+    }
+};
+
+namespace basegfx
+{
+    B2DPolygon::B2DPolygon() = default;
+
+    B2DPolygon::B2DPolygon(std::initializer_list<basegfx::B2DPoint> aPoints)
+    {
+        for (const basegfx::B2DPoint& rPoint : aPoints)
+        {
+            append(rPoint);
+        }
+    }
+
+    B2DPolygon::B2DPolygon(const B2DPolygon&) = default;
+
+    B2DPolygon::B2DPolygon(B2DPolygon&&) = default;
+
+    B2DPolygon::B2DPolygon(const B2DPolygon& rPolygon, sal_uInt32 nIndex, sal_uInt32 nCount)
+    :   mpPolygon(ImplB2DPolygon(*rPolygon.mpPolygon, nIndex, nCount))
+    {
+        // TODO(P2): one extra temporary here (cow_wrapper copies
+        // given ImplB2DPolygon into its internal impl_t wrapper type)
+        OSL_ENSURE(nIndex + nCount <= rPolygon.mpPolygon->count(), "B2DPolygon constructor outside range (!)");
+    }
+
+    B2DPolygon::~B2DPolygon() = default;
+
+    B2DPolygon& B2DPolygon::operator=(const B2DPolygon&) = default;
+
+    B2DPolygon& B2DPolygon::operator=(B2DPolygon&&) = default;
+
+    void B2DPolygon::makeUnique()
+    {
+        mpPolygon.make_unique();
+    }
+
+    bool B2DPolygon::operator==(const B2DPolygon& rPolygon) const
+    {
+        if(mpPolygon.same_object(rPolygon.mpPolygon))
+            return true;
+
+        return ((*mpPolygon) == (*rPolygon.mpPolygon));
+    }
+
+    bool B2DPolygon::operator!=(const B2DPolygon& rPolygon) const
+    {
+        return !(*this == rPolygon);
+    }
+
+    sal_uInt32 B2DPolygon::count() const
+    {
+        return mpPolygon->count();
+    }
+
+    B2DPoint const & B2DPolygon::getB2DPoint(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)");
+
+        return mpPolygon->getPoint(nIndex);
+    }
+
+    void B2DPolygon::setB2DPoint(sal_uInt32 nIndex, const B2DPoint& rValue)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolygon)->count(), "B2DPolygon access outside range (!)");
+
+        if(std::as_const(mpPolygon)->getPoint(nIndex) != rValue)
+        {
+            mpPolygon->setPoint(nIndex, rValue);
+        }
+    }
+
+    void B2DPolygon::reserve(sal_uInt32 nCount)
+    {
+        mpPolygon->reserve(nCount);
+    }
+
+    void B2DPolygon::insert(sal_uInt32 nIndex, const B2DPoint& rPoint, sal_uInt32 nCount)
+    {
+        OSL_ENSURE(nIndex <= std::as_const(mpPolygon)->count(), "B2DPolygon Insert outside range (!)");
+
+        if(nCount)
+        {
+            mpPolygon->insert(nIndex, rPoint, nCount);
+        }
+    }
+
+    void B2DPolygon::append(const B2DPoint& rPoint, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            mpPolygon->insert(std::as_const(mpPolygon)->count(), rPoint, nCount);
+        }
+    }
+
+    void B2DPolygon::append(const B2DPoint& rPoint)
+    {
+        mpPolygon->append(rPoint);
+    }
+
+    B2DPoint B2DPolygon::getPrevControlPoint(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)");
+
+        if(mpPolygon->areControlPointsUsed())
+        {
+            return mpPolygon->getPoint(nIndex) + mpPolygon->getPrevControlVector(nIndex);
+        }
+        else
+        {
+            return mpPolygon->getPoint(nIndex);
+        }
+    }
+
+    B2DPoint B2DPolygon::getNextControlPoint(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)");
+
+        if(mpPolygon->areControlPointsUsed())
+        {
+            return mpPolygon->getPoint(nIndex) + mpPolygon->getNextControlVector(nIndex);
+        }
+        else
+        {
+            return mpPolygon->getPoint(nIndex);
+        }
+    }
+
+    void B2DPolygon::setPrevControlPoint(sal_uInt32 nIndex, const B2DPoint& rValue)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolygon)->count(), "B2DPolygon access outside range (!)");
+        const basegfx::B2DVector aNewVector(rValue - std::as_const(mpPolygon)->getPoint(nIndex));
+
+        if(std::as_const(mpPolygon)->getPrevControlVector(nIndex) != aNewVector)
+        {
+            mpPolygon->setPrevControlVector(nIndex, aNewVector);
+        }
+    }
+
+    void B2DPolygon::setNextControlPoint(sal_uInt32 nIndex, const B2DPoint& rValue)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolygon)->count(), "B2DPolygon access outside range (!)");
+        const basegfx::B2DVector aNewVector(rValue - std::as_const(mpPolygon)->getPoint(nIndex));
+
+        if(std::as_const(mpPolygon)->getNextControlVector(nIndex) != aNewVector)
+        {
+            mpPolygon->setNextControlVector(nIndex, aNewVector);
+        }
+    }
+
+    void B2DPolygon::setControlPoints(sal_uInt32 nIndex, const basegfx::B2DPoint& rPrev, const basegfx::B2DPoint& rNext)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolygon)->count(), "B2DPolygon access outside range (!)");
+        const B2DPoint aPoint(std::as_const(mpPolygon)->getPoint(nIndex));
+        const basegfx::B2DVector aNewPrev(rPrev - aPoint);
+        const basegfx::B2DVector aNewNext(rNext - aPoint);
+
+        if(std::as_const(mpPolygon)->getPrevControlVector(nIndex) != aNewPrev || std::as_const(mpPolygon)->getNextControlVector(nIndex) != aNewNext)
+        {
+            mpPolygon->setControlVectors(nIndex, aNewPrev, aNewNext);
+        }
+    }
+
+    void B2DPolygon::resetPrevControlPoint(sal_uInt32 nIndex)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolygon)->count(), "B2DPolygon access outside range (!)");
+
+        if(std::as_const(mpPolygon)->areControlPointsUsed() && !std::as_const(mpPolygon)->getPrevControlVector(nIndex).equalZero())
+        {
+            mpPolygon->setPrevControlVector(nIndex, B2DVector::getEmptyVector());
+        }
+    }
+
+    void B2DPolygon::resetNextControlPoint(sal_uInt32 nIndex)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolygon)->count(), "B2DPolygon access outside range (!)");
+
+        if(std::as_const(mpPolygon)->areControlPointsUsed() && !std::as_const(mpPolygon)->getNextControlVector(nIndex).equalZero())
+        {
+            mpPolygon->setNextControlVector(nIndex, B2DVector::getEmptyVector());
+        }
+    }
+
+    void B2DPolygon::resetControlPoints()
+    {
+        if(std::as_const(mpPolygon)->areControlPointsUsed())
+        {
+            mpPolygon->resetControlVectors();
+        }
+    }
+
+    void B2DPolygon::appendBezierSegment(
+        const B2DPoint& rNextControlPoint,
+        const B2DPoint& rPrevControlPoint,
+        const B2DPoint& rPoint)
+    {
+        const B2DVector aNewNextVector(std::as_const(mpPolygon)->count() ? B2DVector(rNextControlPoint - std::as_const(mpPolygon)->getPoint(std::as_const(mpPolygon)->count() - 1)) : B2DVector::getEmptyVector());
+        const B2DVector aNewPrevVector(rPrevControlPoint - rPoint);
+
+        if(aNewNextVector.equalZero() && aNewPrevVector.equalZero())
+        {
+            mpPolygon->insert(std::as_const(mpPolygon)->count(), rPoint, 1);
+        }
+        else
+        {
+            mpPolygon->appendBezierSegment(aNewNextVector, aNewPrevVector, rPoint);
+        }
+    }
+
+    void B2DPolygon::appendQuadraticBezierSegment(const B2DPoint& rControlPoint, const B2DPoint& rPoint)
+    {
+        if (std::as_const(mpPolygon)->count() == 0)
+        {
+            mpPolygon->append(rPoint);
+            const double nX((rControlPoint.getX() * 2.0 + rPoint.getX()) / 3.0);
+            const double nY((rControlPoint.getY() * 2.0 + rPoint.getY()) / 3.0);
+            setPrevControlPoint(0, B2DPoint(nX, nY));
+        }
+        else
+        {
+            const B2DPoint aPreviousPoint(std::as_const(mpPolygon)->getPoint(std::as_const(mpPolygon)->count() - 1));
+
+            const double nX1((rControlPoint.getX() * 2.0 + aPreviousPoint.getX()) / 3.0);
+            const double nY1((rControlPoint.getY() * 2.0 + aPreviousPoint.getY()) / 3.0);
+            const double nX2((rControlPoint.getX() * 2.0 + rPoint.getX()) / 3.0);
+            const double nY2((rControlPoint.getY() * 2.0 + rPoint.getY()) / 3.0);
+
+            appendBezierSegment(B2DPoint(nX1, nY1), B2DPoint(nX2, nY2), rPoint);
+        }
+    }
+
+    bool B2DPolygon::areControlPointsUsed() const
+    {
+        return mpPolygon->areControlPointsUsed();
+    }
+
+    bool B2DPolygon::isPrevControlPointUsed(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)");
+
+        return (mpPolygon->areControlPointsUsed() && !mpPolygon->getPrevControlVector(nIndex).equalZero());
+    }
+
+    bool B2DPolygon::isNextControlPointUsed(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)");
+
+        return (mpPolygon->areControlPointsUsed() && !mpPolygon->getNextControlVector(nIndex).equalZero());
+    }
+
+    B2VectorContinuity B2DPolygon::getContinuityInPoint(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)");
+
+        if(mpPolygon->areControlPointsUsed())
+        {
+            const B2DVector& rPrev(mpPolygon->getPrevControlVector(nIndex));
+            const B2DVector& rNext(mpPolygon->getNextControlVector(nIndex));
+
+            return getContinuity(rPrev, rNext);
+        }
+        else
+        {
+            return B2VectorContinuity::NONE;
+        }
+    }
+
+    void B2DPolygon::getBezierSegment(sal_uInt32 nIndex, B2DCubicBezier& rTarget) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)");
+        const bool bNextIndexValidWithoutClose(nIndex + 1 < mpPolygon->count());
+
+        if(bNextIndexValidWithoutClose || mpPolygon->isClosed())
+        {
+            const sal_uInt32 nNextIndex(bNextIndexValidWithoutClose ? nIndex + 1 : 0);
+            rTarget.setStartPoint(mpPolygon->getPoint(nIndex));
+            rTarget.setEndPoint(mpPolygon->getPoint(nNextIndex));
+
+            if(mpPolygon->areControlPointsUsed())
+            {
+                rTarget.setControlPointA(rTarget.getStartPoint() + mpPolygon->getNextControlVector(nIndex));
+                rTarget.setControlPointB(rTarget.getEndPoint() + mpPolygon->getPrevControlVector(nNextIndex));
+            }
+            else
+            {
+                // no bezier, reset control points at rTarget
+                rTarget.setControlPointA(rTarget.getStartPoint());
+                rTarget.setControlPointB(rTarget.getEndPoint());
+            }
+        }
+        else
+        {
+            // no valid edge at all, reset rTarget to current point
+            const B2DPoint aPoint(mpPolygon->getPoint(nIndex));
+            rTarget.setStartPoint(aPoint);
+            rTarget.setEndPoint(aPoint);
+            rTarget.setControlPointA(aPoint);
+            rTarget.setControlPointB(aPoint);
+        }
+    }
+
+    B2DPolygon const & B2DPolygon::getDefaultAdaptiveSubdivision() const
+    {
+        return mpPolygon->getDefaultAdaptiveSubdivision(*this);
+    }
+
+    B2DRange const & B2DPolygon::getB2DRange() const
+    {
+        return mpPolygon->getB2DRange(*this);
+    }
+
+    void B2DPolygon::append(const B2DPolygon& rPoly, sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(!rPoly.count())
+            return;
+
+        if(!nCount)
+        {
+            nCount = rPoly.count();
+        }
+
+        if(nIndex == 0 && nCount == rPoly.count())
+        {
+            mpPolygon->insert(std::as_const(mpPolygon)->count(), *rPoly.mpPolygon);
+        }
+        else
+        {
+            OSL_ENSURE(nIndex + nCount <= rPoly.mpPolygon->count(), "B2DPolygon Append outside range (!)");
+            ImplB2DPolygon aTempPoly(*rPoly.mpPolygon, nIndex, nCount);
+            mpPolygon->insert(std::as_const(mpPolygon)->count(), aTempPoly);
+        }
+    }
+
+    void B2DPolygon::remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        OSL_ENSURE(nIndex + nCount <= std::as_const(mpPolygon)->count(), "B2DPolygon Remove outside range (!)");
+
+        if(nCount)
+        {
+            mpPolygon->remove(nIndex, nCount);
+        }
+    }
+
+    void B2DPolygon::clear()
+    {
+        *mpPolygon = ImplB2DPolygon();
+    }
+
+    bool B2DPolygon::isClosed() const
+    {
+        return mpPolygon->isClosed();
+    }
+
+    void B2DPolygon::setClosed(bool bNew)
+    {
+        if(isClosed() != bNew)
+        {
+            mpPolygon->setClosed(bNew);
+        }
+    }
+
+    void B2DPolygon::flip()
+    {
+        if(count() > 1)
+        {
+            mpPolygon->flip();
+        }
+    }
+
+    bool B2DPolygon::hasDoublePoints() const
+    {
+        return (mpPolygon->count() > 1 && mpPolygon->hasDoublePoints());
+    }
+
+    void B2DPolygon::removeDoublePoints()
+    {
+        if(hasDoublePoints())
+        {
+            mpPolygon->removeDoublePointsAtBeginEnd();
+            mpPolygon->removeDoublePointsWholeTrack();
+        }
+    }
+
+    void B2DPolygon::transform(const B2DHomMatrix& rMatrix)
+    {
+        if(std::as_const(mpPolygon)->count() && !rMatrix.isIdentity())
+        {
+            mpPolygon->transform(rMatrix);
+        }
+    }
+
+    void B2DPolygon::addOrReplaceSystemDependentDataInternal(SystemDependentData_SharedPtr& rData) const
+    {
+        // Need to get ImplB2DPolygon* from cow_wrapper *without*
+        // calling make_unique() here - we do not want to
+        // 'modify' the ImplB2DPolygon, but add buffered data that
+        // is valid for all referencing instances
+        const B2DPolygon* pMe(this);
+        const ImplB2DPolygon* pMyImpl(pMe->mpPolygon.get());
+
+        const_cast<ImplB2DPolygon*>(pMyImpl)->addOrReplaceSystemDependentData(rData);
+    }
+
+    SystemDependentData_SharedPtr B2DPolygon::getSystemDependantDataInternal(size_t hash_code) const
+    {
+        return mpPolygon->getSystemDependentData(hash_code);
+    }
+
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dpolygonclipper.cxx b/basegfx/source/polygon/b2dpolygonclipper.cxx
new file mode 100644
index 000000000..69eba2c84
--- /dev/null
+++ b/basegfx/source/polygon/b2dpolygonclipper.cxx
@@ -0,0 +1,826 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <basegfx/polygon/b2dpolygonclipper.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <basegfx/numeric/ftools.hxx>
+#include <basegfx/polygon/b2dpolypolygoncutter.hxx>
+#include <basegfx/polygon/b2dpolygoncutandtouch.hxx>
+#include <basegfx/polygon/b2dpolypolygontools.hxx>
+#include <basegfx/curve/b2dcubicbezier.hxx>
+#include <basegfx/utils/rectcliptools.hxx>
+#include <sal/log.hxx>
+
+namespace basegfx::utils
+{
+        B2DPolyPolygon clipPolygonOnParallelAxis(const B2DPolygon& rCandidate, bool bParallelToXAxis, bool bAboveAxis, double fValueOnOtherAxis, bool bStroke)
+        {
+            B2DPolyPolygon aRetval;
+
+            if(rCandidate.count())
+            {
+                const B2DRange aCandidateRange(getRange(rCandidate));
+
+                if(bParallelToXAxis && fTools::moreOrEqual(aCandidateRange.getMinY(), fValueOnOtherAxis))
+                {
+                    // completely above and on the clip line. also true for curves.
+                    if(bAboveAxis)
+                    {
+                        // add completely
+                        aRetval.append(rCandidate);
+                    }
+                }
+                else if(bParallelToXAxis && fTools::lessOrEqual(aCandidateRange.getMaxY(), fValueOnOtherAxis))
+                {
+                    // completely below and on the clip line. also true for curves.
+                    if(!bAboveAxis)
+                    {
+                        // add completely
+                        aRetval.append(rCandidate);
+                    }
+                }
+                else if(!bParallelToXAxis && fTools::moreOrEqual(aCandidateRange.getMinX(), fValueOnOtherAxis))
+                {
+                    // completely right of and on the clip line. also true for curves.
+                    if(bAboveAxis)
+                    {
+                        // add completely
+                        aRetval.append(rCandidate);
+                    }
+                }
+                else if(!bParallelToXAxis && fTools::lessOrEqual(aCandidateRange.getMaxX(), fValueOnOtherAxis))
+                {
+                    // completely left of and on the clip line. also true for curves.
+                    if(!bAboveAxis)
+                    {
+                        // add completely
+                        aRetval.append(rCandidate);
+                    }
+                }
+                else
+                {
+                    // add cuts with axis to polygon, including bezier segments
+                    // Build edge to cut with. Make it a little big longer than needed for
+                    // numerical stability. We want to cut against the edge seen as endless
+                    // ray here, but addPointsAtCuts() will limit itself to the
+                    // edge's range ]0.0 .. 1.0[.
+                    const double fSmallExtension((aCandidateRange.getWidth() + aCandidateRange.getHeight()) * (0.5 * 0.1));
+                    const B2DPoint aStart(
+                        bParallelToXAxis ? aCandidateRange.getMinX() - fSmallExtension : fValueOnOtherAxis,
+                        bParallelToXAxis ? fValueOnOtherAxis : aCandidateRange.getMinY() - fSmallExtension);
+                    const B2DPoint aEnd(
+                        bParallelToXAxis ? aCandidateRange.getMaxX() + fSmallExtension : fValueOnOtherAxis,
+                        bParallelToXAxis ? fValueOnOtherAxis : aCandidateRange.getMaxY() + fSmallExtension);
+                    const B2DPolygon aCandidate(addPointsAtCuts(rCandidate, aStart, aEnd));
+                    const sal_uInt32 nPointCount(aCandidate.count());
+                    const sal_uInt32 nEdgeCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                    B2DCubicBezier aEdge;
+                    B2DPolygon aRun;
+
+                    for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                    {
+                        aCandidate.getBezierSegment(a, aEdge);
+                        const B2DPoint aTestPoint(aEdge.interpolatePoint(0.5));
+                        const bool bInside(bParallelToXAxis ?
+                            fTools::moreOrEqual(aTestPoint.getY(), fValueOnOtherAxis) == bAboveAxis :
+                            fTools::moreOrEqual(aTestPoint.getX(), fValueOnOtherAxis) == bAboveAxis);
+
+                        if(bInside)
+                        {
+                            if(!aRun.count() || !aRun.getB2DPoint(aRun.count() - 1).equal(aEdge.getStartPoint()))
+                            {
+                                aRun.append(aEdge.getStartPoint());
+                            }
+
+                            if(aEdge.isBezier())
+                            {
+                                aRun.appendBezierSegment(aEdge.getControlPointA(), aEdge.getControlPointB(), aEdge.getEndPoint());
+                            }
+                            else
+                            {
+                                aRun.append(aEdge.getEndPoint());
+                            }
+                        }
+                        else
+                        {
+                            if(bStroke && aRun.count())
+                            {
+                                aRetval.append(aRun);
+                                aRun.clear();
+                            }
+                        }
+                    }
+
+                    if(aRun.count())
+                    {
+                        if(bStroke)
+                        {
+                            // try to merge this last and first polygon; they may have been
+                            // the former polygon's start/end point
+                            if(aRetval.count())
+                            {
+                                const B2DPolygon aStartPolygon(aRetval.getB2DPolygon(0));
+
+                                if(aStartPolygon.count() && aStartPolygon.getB2DPoint(0).equal(aRun.getB2DPoint(aRun.count() - 1)))
+                                {
+                                    // append start polygon to aRun, remove from result set
+                                    aRun.append(aStartPolygon); aRun.removeDoublePoints();
+                                    aRetval.remove(0);
+                                }
+                            }
+
+                            aRetval.append(aRun);
+                        }
+                        else
+                        {
+                            // set closed flag and correct last point (which is added double now).
+                            closeWithGeometryChange(aRun);
+                            aRetval.append(aRun);
+                        }
+                    }
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon clipPolyPolygonOnParallelAxis(const B2DPolyPolygon& rCandidate, bool bParallelToXAxis, bool bAboveAxis, double fValueOnOtherAxis, bool bStroke)
+        {
+            const sal_uInt32 nPolygonCount(rCandidate.count());
+            B2DPolyPolygon aRetval;
+
+            for(sal_uInt32 a(0); a < nPolygonCount; a++)
+            {
+                const B2DPolyPolygon aClippedPolyPolygon(clipPolygonOnParallelAxis(rCandidate.getB2DPolygon(a), bParallelToXAxis, bAboveAxis, fValueOnOtherAxis, bStroke));
+
+                if(aClippedPolyPolygon.count())
+                {
+                    aRetval.append(aClippedPolyPolygon);
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon clipPolygonOnRange(const B2DPolygon& rCandidate, const B2DRange& rRange, bool bInside, bool bStroke)
+        {
+            const sal_uInt32 nCount(rCandidate.count());
+            B2DPolyPolygon aRetval;
+
+            if(!nCount)
+            {
+                // source is empty
+                return aRetval;
+            }
+
+            if(rRange.isEmpty())
+            {
+                if(bInside)
+                {
+                    // nothing is inside an empty range
+                    return aRetval;
+                }
+                else
+                {
+                    // everything is outside an empty range
+                    return B2DPolyPolygon(rCandidate);
+                }
+            }
+
+            const B2DRange aCandidateRange(getRange(rCandidate));
+
+            if(rRange.isInside(aCandidateRange))
+            {
+                  // candidate is completely inside given range
+                if(bInside)
+                {
+                    // nothing to do
+                    return B2DPolyPolygon(rCandidate);
+                }
+                else
+                {
+                    // nothing is outside, then
+                    return aRetval;
+                }
+            }
+
+            if(!bInside)
+            {
+                // cutting off the outer parts of filled polygons at parallel
+                // lines to the axes is only possible for the inner part, not for
+                // the outer part which means cutting a hole into the original polygon.
+                // This is because the inner part is a logical AND-operation of
+                // the four implied half-planes, but the outer part is not.
+                // It is possible for strokes, but with creating unnecessary extra
+                // cuts, so using clipPolygonOnPolyPolygon is better there, too.
+                // This needs to be done with the topology knowledge and is unfortunately
+                // more expensive, too.
+                const B2DPolygon aClip(createPolygonFromRect(rRange));
+
+                return clipPolygonOnPolyPolygon(rCandidate, B2DPolyPolygon(aClip), bInside, bStroke);
+            }
+
+            // clip against the four axes of the range
+            // against X-Axis, lower value
+            aRetval = clipPolygonOnParallelAxis(rCandidate, true, bInside, rRange.getMinY(), bStroke);
+
+            if(aRetval.count())
+            {
+                // against Y-Axis, lower value
+                if(aRetval.count() == 1)
+                {
+                    aRetval = clipPolygonOnParallelAxis(aRetval.getB2DPolygon(0), false, bInside, rRange.getMinX(), bStroke);
+                }
+                else
+                {
+                    aRetval = clipPolyPolygonOnParallelAxis(aRetval, false, bInside, rRange.getMinX(), bStroke);
+                }
+
+                if(aRetval.count())
+                {
+                    // against X-Axis, higher value
+                    if(aRetval.count() == 1)
+                    {
+                        aRetval = clipPolygonOnParallelAxis(aRetval.getB2DPolygon(0), true, false, rRange.getMaxY(), bStroke);
+                    }
+                    else
+                    {
+                        aRetval = clipPolyPolygonOnParallelAxis(aRetval, true, false, rRange.getMaxY(), bStroke);
+                    }
+
+                    if(aRetval.count())
+                    {
+                        // against Y-Axis, higher value
+                        if(aRetval.count() == 1)
+                        {
+                            aRetval = clipPolygonOnParallelAxis(aRetval.getB2DPolygon(0), false, false, rRange.getMaxX(), bStroke);
+                        }
+                        else
+                        {
+                            aRetval = clipPolyPolygonOnParallelAxis(aRetval, false, false, rRange.getMaxX(), bStroke);
+                        }
+                    }
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon clipPolyPolygonOnRange(const B2DPolyPolygon& rCandidate, const B2DRange& rRange, bool bInside, bool bStroke)
+        {
+            const sal_uInt32 nPolygonCount(rCandidate.count());
+            B2DPolyPolygon aRetval;
+
+            if(!nPolygonCount)
+            {
+                // source is empty
+                return aRetval;
+            }
+
+            if(rRange.isEmpty())
+            {
+                if(bInside)
+                {
+                    // nothing is inside an empty range
+                    return aRetval;
+                }
+                else
+                {
+                    // everything is outside an empty range
+                    return rCandidate;
+                }
+            }
+
+            if(bInside)
+            {
+                for(sal_uInt32 a(0); a < nPolygonCount; a++)
+                {
+                    const B2DPolyPolygon aClippedPolyPolygon(clipPolygonOnRange(rCandidate.getB2DPolygon(a), rRange, bInside, bStroke));
+
+                    if(aClippedPolyPolygon.count())
+                    {
+                        aRetval.append(aClippedPolyPolygon);
+                    }
+                }
+            }
+            else
+            {
+                // for details, see comment in clipPolygonOnRange for the "cutting off
+                // the outer parts of filled polygons at parallel lines" explanations
+                const B2DPolygon aClip(createPolygonFromRect(rRange));
+
+                return clipPolyPolygonOnPolyPolygon(rCandidate, B2DPolyPolygon(aClip), bInside, bStroke);
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon clipPolyPolygonOnPolyPolygon(const B2DPolyPolygon& rCandidate, const B2DPolyPolygon& rClip,
+                                                    bool bInside, bool bStroke, size_t* pPointLimit)
+        {
+            B2DPolyPolygon aRetval;
+
+            if(rCandidate.count() && rClip.count())
+            {
+                // one or both are no rectangle - go the hard way and clip PolyPolygon
+                // against PolyPolygon...
+                if(bStroke)
+                {
+                    // line clipping, create line snippets by first adding all cut points and
+                    // then marching along the edges and detecting if they are inside or outside
+                    // the clip polygon
+                    for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+                    {
+                        // add cuts with clip to polygon, including bezier segments
+                        const B2DPolygon aCandidate(addPointsAtCuts(rCandidate.getB2DPolygon(a), rClip));
+                        const sal_uInt32 nPointCount(aCandidate.count());
+                        const sal_uInt32 nEdgeCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                        B2DCubicBezier aEdge;
+                        B2DPolygon aRun;
+
+                        for(sal_uInt32 b(0); b < nEdgeCount; b++)
+                        {
+                            aCandidate.getBezierSegment(b, aEdge);
+                            const B2DPoint aTestPoint(aEdge.interpolatePoint(0.5));
+                            const bool bIsInside(utils::isInside(rClip, aTestPoint) == bInside);
+
+                            if(bIsInside)
+                            {
+                                if(!aRun.count())
+                                {
+                                    aRun.append(aEdge.getStartPoint());
+                                }
+
+                                if(aEdge.isBezier())
+                                {
+                                    aRun.appendBezierSegment(aEdge.getControlPointA(), aEdge.getControlPointB(), aEdge.getEndPoint());
+                                }
+                                else
+                                {
+                                    aRun.append(aEdge.getEndPoint());
+                                }
+                            }
+                            else
+                            {
+                                if(aRun.count())
+                                {
+                                    aRetval.append(aRun);
+                                    aRun.clear();
+                                }
+                            }
+                        }
+
+                        if(aRun.count())
+                        {
+                            // try to merge this last and first polygon; they may have been
+                            // the former polygon's start/end point
+                            if(aRetval.count())
+                            {
+                                const B2DPolygon aStartPolygon(aRetval.getB2DPolygon(0));
+
+                                if(aStartPolygon.count() && aStartPolygon.getB2DPoint(0).equal(aRun.getB2DPoint(aRun.count() - 1)))
+                                {
+                                    // append start polygon to aRun, remove from result set
+                                    aRun.append(aStartPolygon); aRun.removeDoublePoints();
+                                    aRetval.remove(0);
+                                }
+                            }
+
+                            aRetval.append(aRun);
+                        }
+                    }
+                }
+                else
+                {
+                    // check for simplification with ranges if !bStroke (handling as stroke is more simple),
+                    // but also only when bInside, else the simplification may lead to recursive calls (see
+                    // calls to clipPolyPolygonOnPolyPolygon in clipPolyPolygonOnRange and clipPolygonOnRange)
+                    if (bInside && basegfx::utils::isRectangle(rClip))
+                    {
+                        // #i125349# detect if both given PolyPolygons are indeed ranges
+                        if (basegfx::utils::isRectangle(rCandidate))
+                        {
+                            // both are rectangle
+                            if(rCandidate.getB2DRange().equal(rClip.getB2DRange()))
+                            {
+                                // if both are equal -> no change
+                                return rCandidate;
+                            }
+                            else
+                            {
+                                // not equal -> create new intersection from both ranges,
+                                // but much cheaper based on the ranges
+                                basegfx::B2DRange aIntersectionRange(rCandidate.getB2DRange());
+
+                                aIntersectionRange.intersect(rClip.getB2DRange());
+
+                                if(aIntersectionRange.isEmpty())
+                                {
+                                    // no common IntersectionRange -> the clip will be empty
+                                    return B2DPolyPolygon();
+                                }
+                                else
+                                {
+                                    // use common aIntersectionRange as result, convert
+                                    // to expected utils::PolyPolygon form
+                                    return basegfx::B2DPolyPolygon(
+                                        basegfx::utils::createPolygonFromRect(aIntersectionRange));
+                                }
+                            }
+                        }
+                        else
+                        {
+                            // rClip is rectangle -> clip rCandidate on rRectangle, use the much
+                            // cheaper and numerically more stable clipping against a range
+                            return clipPolyPolygonOnRange(rCandidate, rClip.getB2DRange(), bInside, bStroke);
+                        }
+                    }
+
+                    // area clipping
+
+                    // First solve all polygon-self and polygon-polygon intersections.
+                    // Also get rid of some not-needed polygons (neutral, no area -> when
+                    // no intersections, these are tubes).
+                    // Now it is possible to correct the orientations in the cut-free
+                    // polygons to values corresponding to painting the utils::PolyPolygon with
+                    // a XOR-WindingRule.
+                    B2DPolyPolygon aMergePolyPolygonA = solveCrossovers(rClip);
+                    aMergePolyPolygonA = stripNeutralPolygons(aMergePolyPolygonA);
+                    aMergePolyPolygonA = correctOrientations(aMergePolyPolygonA);
+
+                    if(!bInside)
+                    {
+                        // if we want to get the outside of the clip polygon, make
+                        // it a 'Hole' in topological sense
+                        aMergePolyPolygonA.flip();
+                    }
+
+
+                    // prepare 2nd source polygon in same way
+                    B2DPolyPolygon aMergePolyPolygonB = solveCrossovers(rCandidate, pPointLimit);
+
+                    if (pPointLimit && !*pPointLimit)
+                    {
+                        SAL_WARN("basegfx", "clipPolyPolygonOnPolyPolygon hit point limit");
+                        return aRetval;
+                    }
+
+                    aMergePolyPolygonB = stripNeutralPolygons(aMergePolyPolygonB);
+                    aMergePolyPolygonB = correctOrientations(aMergePolyPolygonB);
+
+                    // to clip against each other, concatenate and solve all
+                    // polygon-polygon crossovers. polygon-self do not need to
+                    // be solved again, they were solved in the preparation.
+                    aRetval.append(aMergePolyPolygonA);
+                    aRetval.append(aMergePolyPolygonB);
+                    aRetval = solveCrossovers(aRetval);
+
+                    // now remove neutral polygons (closed, but no area). In a last
+                    // step throw away all polygons which have a depth of less than 1
+                    // which means there was no logical AND at their position. For the
+                    // not-inside solution, the clip was flipped to define it as 'Hole',
+                    // so the removal rule is different here; remove all with a depth
+                    // of less than 0 (aka holes).
+                    aRetval = stripNeutralPolygons(aRetval);
+                    aRetval = stripDispensablePolygons(aRetval, bInside);
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon clipPolygonOnPolyPolygon(const B2DPolygon& rCandidate, const B2DPolyPolygon& rClip, bool bInside, bool bStroke)
+        {
+            B2DPolyPolygon aRetval;
+
+            if(rCandidate.count() && rClip.count())
+            {
+                aRetval = clipPolyPolygonOnPolyPolygon(B2DPolyPolygon(rCandidate), rClip, bInside, bStroke);
+            }
+
+            return aRetval;
+        }
+
+        namespace {
+
+        /*
+        * let a plane be defined as
+        *
+        *     v.n+d=0
+        *
+        * and a ray be defined as
+        *
+        *     a+(b-a)*t=0
+        *
+        * substitute and rearranging yields
+        *
+        *     t = -(a.n+d)/(n.(b-a))
+        *
+        * if the denominator is zero, the line is either
+        * contained in the plane or parallel to the plane.
+        * in either case, there is no intersection.
+        * if numerator and denominator are both zero, the
+        * ray is contained in the plane.
+        *
+        */
+        struct scissor_plane {
+            double nx,ny;           // plane normal
+            double d;               // [-] minimum distance from origin
+            sal_uInt32 clipmask;    // clipping mask, e.g. 1000 1000
+        };
+
+        }
+
+        /*
+        *
+        * polygon clipping rules  (straight out of Foley and Van Dam)
+        * ===========================================================
+        * current   |next       |emit
+        * ____________________________________
+        * inside    |inside     |next
+        * inside    |outside    |intersect with clip plane
+        * outside   |outside    |nothing
+        * outside   |inside     |intersect with clip plane followed by next
+        *
+        */
+        static sal_uInt32 scissorLineSegment( ::basegfx::B2DPoint           *in_vertex,    // input buffer
+                                       sal_uInt32                     in_count,     // number of verts in input buffer
+                                       ::basegfx::B2DPoint           *out_vertex,   // output buffer
+                                       scissor_plane const           *pPlane,       // scissoring plane
+                                       const ::basegfx::B2DRectangle &rR )          // clipping rectangle
+        {
+
+            sal_uInt32 out_count=0;
+
+            // process all the verts
+            for(sal_uInt32 i=0; i<in_count; i++) {
+
+                // vertices are relative to the coordinate
+                // system defined by the rectangle.
+                ::basegfx::B2DPoint *curr = &in_vertex[i];
+                ::basegfx::B2DPoint *next = &in_vertex[(i+1)%in_count];
+
+                // perform clipping judgement & mask against current plane.
+                sal_uInt32 clip = pPlane->clipmask & ((getCohenSutherlandClipFlags(*curr,rR)<<4)|getCohenSutherlandClipFlags(*next,rR));
+
+                if(clip==0) { // both verts are inside
+                    out_vertex[out_count++] = *next;
+                }
+                else if((clip&0x0f) && (clip&0xf0)) { // both verts are outside
+                }
+                else if((clip&0x0f) && (clip&0xf0)==0) { // curr is inside, next is outside
+
+                    // direction vector from 'current' to 'next', *not* normalized
+                    // to bring 't' into the [0<=x<=1] interval.
+                    ::basegfx::B2DPoint dir((*next)-(*curr));
+
+                    double denominator = pPlane->nx*dir.getX() +
+                                         pPlane->ny*dir.getY();
+                    double numerator =  pPlane->nx*curr->getX() +
+                                        pPlane->ny*curr->getY() +
+                                        pPlane->d;
+                    double t = -numerator/denominator;
+
+                    // calculate the actual point of intersection
+                    ::basegfx::B2DPoint intersection( curr->getX()+t*dir.getX(),
+                                                    curr->getY()+t*dir.getY() );
+
+                    out_vertex[out_count++] = intersection;
+                }
+                else if((clip&0x0f)==0 && (clip&0xf0)) { // curr is outside, next is inside
+
+                    // direction vector from 'current' to 'next', *not* normalized
+                    // to bring 't' into the [0<=x<=1] interval.
+                    ::basegfx::B2DPoint dir((*next)-(*curr));
+
+                    double denominator = pPlane->nx*dir.getX() +
+                                         pPlane->ny*dir.getY();
+                    double numerator =  pPlane->nx*curr->getX() +
+                                        pPlane->ny*curr->getY() +
+                                        pPlane->d;
+                    double t = -numerator/denominator;
+
+                    // calculate the actual point of intersection
+                    ::basegfx::B2DPoint intersection( curr->getX()+t*dir.getX(),
+                                                    curr->getY()+t*dir.getY() );
+
+                    out_vertex[out_count++] = intersection;
+                    out_vertex[out_count++] = *next;
+                }
+            }
+
+            return out_count;
+        }
+
+        B2DPolygon clipTriangleListOnRange( const B2DPolygon& rCandidate,
+                                            const B2DRange&   rRange )
+        {
+            B2DPolygon aResult;
+
+            if( !(rCandidate.count()%3) )
+            {
+                const int scissor_plane_count = 4;
+
+                scissor_plane sp[scissor_plane_count];
+
+                sp[0].nx = +1.0;
+                sp[0].ny = +0.0;
+                sp[0].d = -(rRange.getMinX());
+                sp[0].clipmask = (RectClipFlags::LEFT << 4) | RectClipFlags::LEFT; // 0001 0001
+                sp[1].nx = -1.0;
+                sp[1].ny = +0.0;
+                sp[1].d = +(rRange.getMaxX());
+                sp[1].clipmask = (RectClipFlags::RIGHT << 4) | RectClipFlags::RIGHT; // 0010 0010
+                sp[2].nx = +0.0;
+                sp[2].ny = +1.0;
+                sp[2].d = -(rRange.getMinY());
+                sp[2].clipmask = (RectClipFlags::TOP << 4) | RectClipFlags::TOP; // 0100 0100
+                sp[3].nx = +0.0;
+                sp[3].ny = -1.0;
+                sp[3].d = +(rRange.getMaxY());
+                sp[3].clipmask = (RectClipFlags::BOTTOM << 4) | RectClipFlags::BOTTOM; // 1000 1000
+
+                // retrieve the number of vertices of the triangulated polygon
+                const sal_uInt32 nVertexCount = rCandidate.count();
+
+                if(nVertexCount)
+                {
+                    // Upper bound for the maximal number of vertices when intersecting an
+                    // axis-aligned rectangle with a triangle in E2
+
+                    // The rectangle and the triangle are in general position, and have 4 and 3
+                    // vertices, respectively.
+
+                    //   Lemma: Since the rectangle is a convex polygon ( see
+                    //   http://mathworld.wolfram.com/ConvexPolygon.html for a definition), and
+                    //   has no holes, it follows that any straight line will intersect the
+                    //   rectangle's border line at utmost two times (with the usual
+                    //   tie-breaking rule, if the intersection exactly hits an already existing
+                    //   rectangle vertex, that this intersection is only attributed to one of
+                    //   the adjoining edges). Thus, having a rectangle intersected with
+                    //   a half-plane (one side of a straight line denotes 'inside', the
+                    //   other 'outside') will at utmost add _one_  vertex to the resulting
+                    //   intersection polygon (adding two intersection vertices, and removing at
+                    //   least one rectangle vertex):
+
+                    //         *
+                    //     +--+-----------------+
+                    //     | *                  |
+                    //     |*                   |
+                    //     +                    |
+                    //    *|                    |
+                    //   * |                    |
+                    //     +--------------------+
+
+                    //   Proof: If the straight line intersects the rectangle two
+                    //   times, it does so for distinct edges, i.e. the intersection has
+                    //   minimally one of the rectangle's vertices on either side of the straight
+                    //   line (but maybe more). Thus, the intersection with a half-plane has
+                    //   minimally _one_ rectangle vertex removed from the resulting clip
+                    //   polygon, and therefore, a clip against a half-plane has the net effect
+                    //   of adding at utmost _one_ vertex to the resulting clip polygon.
+
+                    // Theorem: The intersection of a rectangle and a triangle results in a
+                    // polygon with at utmost 7 vertices.
+
+                    // Proof: The inside of the triangle can be described as the consecutive
+                    // intersection with three half-planes. Together with the lemma above, this
+                    // results in at utmost 3 additional vertices added to the already existing 4
+                    // rectangle vertices.
+
+                    // This upper bound is attained with the following example configuration:
+
+                    //                               *
+                    //                             ***
+                    //                           ** *
+                    //                         **  *
+                    //                       **   *
+                    //                     **    *
+                    //                   **     *
+                    //                 **      *
+                    //               **       *
+                    //             **        *
+                    //           **         *
+                    //     ----*2--------3 *
+                    //     | **          |*
+                    //     1*            4
+                    //   **|            *|
+                    // **  |           * |
+                    //   **|          *  |
+                    //     7*        *   |
+                    //     --*6-----5-----
+                    //         **  *
+                    //           **
+
+                    // As we need to scissor all triangles against the
+                    // output rectangle we employ an output buffer for the
+                    // resulting vertices.  the question is how large this
+                    // buffer needs to be compared to the number of
+                    // incoming vertices.  this buffer needs to hold at
+                    // most the number of original vertices times '7'. see
+                    // figure above for an example.  scissoring triangles
+                    // with the cohen-sutherland line clipping algorithm
+                    // as implemented here will result in a triangle fan
+                    // which will be rendered as separate triangles to
+                    // avoid pipeline stalls for each scissored
+                    // triangle. creating separate triangles from a
+                    // triangle fan produces (n-2)*3 vertices where n is
+                    // the number of vertices of the original triangle
+                    // fan.  for the maximum number of 7 vertices of
+                    // resulting triangle fans we therefore need 15 times
+                    // the number of original vertices.
+
+                    //const size_t nBufferSize = sizeof(vertex)*(nVertexCount*16);
+                    //vertex *pVertices = (vertex*)alloca(nBufferSize);
+                    //sal_uInt32 nNumOutput = 0;
+
+                    // we need to clip this triangle against the output rectangle
+                    // to ensure that the resulting texture coordinates are in
+                    // the valid range from [0<=st<=1]. under normal circumstances
+                    // we could use the BORDERCOLOR renderstate but some cards
+                    // seem to ignore this feature.
+                    ::basegfx::B2DPoint stack[3];
+                    unsigned int clipflag = 0;
+
+                    for(sal_uInt32 nIndex=0; nIndex<nVertexCount; ++nIndex)
+                    {
+                        // rotate stack
+                        stack[0] = stack[1];
+                        stack[1] = stack[2];
+                        stack[2] = rCandidate.getB2DPoint(nIndex);
+
+                        // clipping judgement
+                        clipflag |= unsigned(!(rRange.isInside(stack[2])));
+
+                        if(nIndex > 1)
+                        {
+                            // consume vertices until a single separate triangle has been visited.
+                            if(!((nIndex+1)%3))
+                            {
+                                // if any of the last three vertices was outside
+                                // we need to scissor against the destination rectangle
+                                if(clipflag & 7)
+                                {
+                                    ::basegfx::B2DPoint buf0[16];
+                                    ::basegfx::B2DPoint buf1[16];
+
+                                    sal_uInt32 vertex_count = 3;
+
+                                    // clip against all 4 planes passing the result of
+                                    // each plane as the input to the next using a double buffer
+                                    vertex_count = scissorLineSegment(stack,vertex_count,buf1,&sp[0],rRange);
+                                    vertex_count = scissorLineSegment(buf1,vertex_count,buf0,&sp[1],rRange);
+                                    vertex_count = scissorLineSegment(buf0,vertex_count,buf1,&sp[2],rRange);
+                                    vertex_count = scissorLineSegment(buf1,vertex_count,buf0,&sp[3],rRange);
+
+                                    if(vertex_count >= 3)
+                                    {
+                                        // convert triangle fan back to triangle list.
+                                        ::basegfx::B2DPoint v0(buf0[0]);
+                                        ::basegfx::B2DPoint v1(buf0[1]);
+                                        for(sal_uInt32 i=2; i<vertex_count; ++i)
+                                        {
+                                            ::basegfx::B2DPoint v2(buf0[i]);
+                                            aResult.append(v0);
+                                            aResult.append(v1);
+                                            aResult.append(v2);
+                                            v1 = v2;
+                                        }
+                                    }
+                                }
+                                else
+                                {
+                                    // the last triangle has not been altered, simply copy to result
+                                    for(const basegfx::B2DPoint & i : stack)
+                                        aResult.append(i);
+                                }
+                            }
+                        }
+
+                        clipflag <<= 1;
+                    }
+                }
+            }
+
+            return aResult;
+        }
+
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dpolygoncutandtouch.cxx b/basegfx/source/polygon/b2dpolygoncutandtouch.cxx
new file mode 100644
index 000000000..d5ab5887d
--- /dev/null
+++ b/basegfx/source/polygon/b2dpolygoncutandtouch.cxx
@@ -0,0 +1,1079 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <basegfx/polygon/b2dpolygoncutandtouch.hxx>
+#include <osl/diagnose.h>
+#include <sal/log.hxx>
+#include <basegfx/numeric/ftools.hxx>
+#include <basegfx/point/b2dpoint.hxx>
+#include <basegfx/vector/b2dvector.hxx>
+#include <basegfx/range/b2drange.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <basegfx/curve/b2dcubicbezier.hxx>
+
+#include <vector>
+#include <algorithm>
+#include <memory>
+
+#define SUBDIVIDE_FOR_CUT_TEST_COUNT        (50)
+
+namespace basegfx
+{
+    namespace
+    {
+
+        class temporaryPoint
+        {
+            B2DPoint                            maPoint;        // the new point
+            sal_uInt32                          mnIndex;        // index after which to insert
+            double                              mfCut;          // parametric cut description [0.0 .. 1.0]
+
+        public:
+            temporaryPoint(const B2DPoint& rNewPoint, sal_uInt32 nIndex, double fCut)
+            :   maPoint(rNewPoint),
+                mnIndex(nIndex),
+                mfCut(fCut)
+            {
+            }
+
+            bool operator<(const temporaryPoint& rComp) const
+            {
+                if(mnIndex == rComp.mnIndex)
+                {
+                    return (mfCut < rComp.mfCut);
+                }
+
+                return (mnIndex < rComp.mnIndex);
+            }
+
+            const B2DPoint& getPoint() const { return maPoint; }
+            sal_uInt32 getIndex() const { return mnIndex; }
+            double getCut() const { return mfCut; }
+        };
+
+        typedef std::vector< temporaryPoint > temporaryPointVector;
+
+        class temporaryPolygonData
+        {
+            B2DPolygon                              maPolygon;
+            B2DRange                                maRange;
+            temporaryPointVector                    maPoints;
+
+        public:
+            const B2DPolygon& getPolygon() const { return maPolygon; }
+            void setPolygon(const B2DPolygon& rNew) { maPolygon = rNew; maRange = utils::getRange(maPolygon); }
+            const B2DRange& getRange() const { return maRange; }
+            temporaryPointVector& getTemporaryPointVector() { return maPoints; }
+        };
+
+        B2DPolygon mergeTemporaryPointsAndPolygon(const B2DPolygon& rCandidate, temporaryPointVector& rTempPoints)
+        {
+            // #i76891# mergeTemporaryPointsAndPolygon redesigned to be able to correctly handle
+            // single edges with/without control points
+            // #i101491# added counter for non-changing element count
+            const sal_uInt32 nTempPointCount(rTempPoints.size());
+
+            if(nTempPointCount)
+            {
+                B2DPolygon aRetval;
+                const sal_uInt32 nCount(rCandidate.count());
+
+                if(nCount)
+                {
+                    // sort temp points to assure increasing fCut values and increasing indices
+                    std::sort(rTempPoints.begin(), rTempPoints.end());
+
+                    // prepare loop
+                    B2DCubicBezier aEdge;
+                    sal_uInt32 nNewInd(0);
+
+                    // add start point
+                    aRetval.append(rCandidate.getB2DPoint(0));
+
+                    for(sal_uInt32 a(0); a < nCount; a++)
+                    {
+                        // get edge
+                        rCandidate.getBezierSegment(a, aEdge);
+
+                        if(aEdge.isBezier())
+                        {
+                            // control vectors involved for this edge
+                            double fLeftStart(0.0);
+
+                            // now add all points targeted to be at this index
+                            while (nNewInd < nTempPointCount && rTempPoints[nNewInd].getIndex() == a && fLeftStart < 1.0)
+                            {
+                                const temporaryPoint& rTempPoint = rTempPoints[nNewInd++];
+
+                                // split curve segment. Splits need to come sorted and need to be < 1.0. Also,
+                                // since original segment is consumed from left to right, the cut values need
+                                // to be scaled to the remaining part
+                                B2DCubicBezier aLeftPart;
+                                const double fRelativeSplitPoint((rTempPoint.getCut() - fLeftStart) / (1.0 - fLeftStart));
+                                aEdge.split(fRelativeSplitPoint, &aLeftPart, &aEdge);
+                                fLeftStart = rTempPoint.getCut();
+
+                                // add left bow
+                                aRetval.appendBezierSegment(aLeftPart.getControlPointA(), aLeftPart.getControlPointB(), rTempPoint.getPoint());
+                            }
+
+                            // add remaining bow
+                            aRetval.appendBezierSegment(aEdge.getControlPointA(), aEdge.getControlPointB(), aEdge.getEndPoint());
+                        }
+                        else
+                        {
+                            // add all points targeted to be at this index
+                            while(nNewInd < nTempPointCount && rTempPoints[nNewInd].getIndex() == a)
+                            {
+                                const temporaryPoint& rTempPoint = rTempPoints[nNewInd++];
+                                const B2DPoint& aNewPoint(rTempPoint.getPoint());
+
+                                // do not add points double
+                                if(!aRetval.getB2DPoint(aRetval.count() - 1).equal(aNewPoint))
+                                {
+                                    aRetval.append(aNewPoint);
+                                }
+                            }
+
+                            // add edge end point
+                            aRetval.append(aEdge.getEndPoint());
+                        }
+                    }
+                }
+
+                if(rCandidate.isClosed())
+                {
+                    // set closed flag and correct last point (which is added double now).
+                    utils::closeWithGeometryChange(aRetval);
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        void adaptAndTransferCutsWithBezierSegment(
+            const temporaryPointVector& rPointVector, const B2DPolygon& rPolygon,
+            sal_uInt32 nInd, temporaryPointVector& rTempPoints)
+        {
+            // assuming that the subdivision to create rPolygon used equidistant pieces
+            // (as in adaptiveSubdivideByCount) it is now possible to calculate back the
+            // cut positions in the polygon to relative cut positions on the original bezier
+            // segment.
+            const sal_uInt32 nTempPointCount(rPointVector.size());
+            const sal_uInt32 nEdgeCount(rPolygon.count() ? rPolygon.count() - 1 : 0);
+
+            if(nTempPointCount && nEdgeCount)
+            {
+                for(sal_uInt32 a(0); a < nTempPointCount; a++)
+                {
+                    const temporaryPoint& rTempPoint = rPointVector[a];
+                    const double fCutPosInPolygon(static_cast<double>(rTempPoint.getIndex()) + rTempPoint.getCut());
+                    const double fRelativeCutPos(fCutPosInPolygon / static_cast<double>(nEdgeCount));
+                    rTempPoints.emplace_back(rTempPoint.getPoint(), nInd, fRelativeCutPos);
+                }
+            }
+        }
+
+    } // end of anonymous namespace
+} // end of namespace basegfx
+
+namespace basegfx
+{
+    namespace
+    {
+
+        // predefines for calls to this methods before method implementation
+
+        void findCuts(const B2DPolygon& rCandidate, temporaryPointVector& rTempPoints, size_t* pPointLimit = nullptr);
+        void findTouches(const B2DPolygon& rEdgePolygon, const B2DPolygon& rPointPolygon, temporaryPointVector& rTempPoints);
+        void findCuts(const B2DPolygon& rCandidateA, const B2DPolygon& rCandidateB, temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB);
+
+        void findEdgeCutsTwoEdges(
+            const B2DPoint& rCurrA, const B2DPoint& rNextA,
+            const B2DPoint& rCurrB, const B2DPoint& rNextB,
+            sal_uInt32 nIndA, sal_uInt32 nIndB,
+            temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB)
+        {
+            // no null length edges
+            if(rCurrA.equal(rNextA) || rCurrB.equal(rNextB))
+                return;
+
+            // no common start/end points, this can be no cuts
+            if(rCurrB.equal(rCurrA) || rCurrB.equal(rNextA) || rNextB.equal(rCurrA) || rNextB.equal(rNextA))
+                return;
+
+            const B2DVector aVecA(rNextA - rCurrA);
+            const B2DVector aVecB(rNextB - rCurrB);
+            double fCut(aVecA.cross(aVecB));
+
+            if(fTools::equalZero(fCut))
+                return;
+
+            const double fZero(0.0);
+            const double fOne(1.0);
+            fCut = (aVecB.getY() * (rCurrB.getX() - rCurrA.getX()) + aVecB.getX() * (rCurrA.getY() - rCurrB.getY())) / fCut;
+
+            if (!fTools::betweenOrEqualEither(fCut, fZero, fOne))
+                return;
+
+            // it's a candidate, but also need to test parameter value of cut on line 2
+            double fCut2;
+
+            // choose the more precise version
+            if(fabs(aVecB.getX()) > fabs(aVecB.getY()))
+            {
+                fCut2 = (rCurrA.getX() + (fCut * aVecA.getX()) - rCurrB.getX()) / aVecB.getX();
+            }
+            else
+            {
+                fCut2 = (rCurrA.getY() + (fCut * aVecA.getY()) - rCurrB.getY()) / aVecB.getY();
+            }
+
+            if (fTools::betweenOrEqualEither(fCut2, fZero, fOne))
+            {
+                // cut is in range, add point. Two edges can have only one cut, but
+                // add a cut point to each list. The lists may be the same for
+                // self intersections.
+                const B2DPoint aCutPoint(interpolate(rCurrA, rNextA, fCut));
+                rTempPointsA.emplace_back(aCutPoint, nIndA, fCut);
+                rTempPointsB.emplace_back(aCutPoint, nIndB, fCut2);
+            }
+        }
+
+        void findCutsAndTouchesAndCommonForBezier(const B2DPolygon& rCandidateA, const B2DPolygon& rCandidateB, temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB)
+        {
+            // #i76891#
+            // This new method is necessary since in findEdgeCutsBezierAndEdge and in findEdgeCutsTwoBeziers
+            // it is not sufficient to use findCuts() recursively. This will indeed find the cuts between the
+            // segments of the two temporarily adaptive subdivided bezier segments, but not the touches or
+            // equal points of them.
+            // It would be possible to find the touches using findTouches(), but at last with common points
+            // the adding of cut points (temporary points) would fail. But for these temporarily adaptive
+            // subdivided bezier segments, common points may be not very likely, but the bug shows that it
+            // happens.
+            // Touch points are a little bit more likely than common points. All in all it is best to use
+            // a specialized method here which can profit from knowing that it is working on a special
+            // family of B2DPolygons: no curve segments included and not closed.
+            OSL_ENSURE(!rCandidateA.areControlPointsUsed() && !rCandidateB.areControlPointsUsed(), "findCutsAndTouchesAndCommonForBezier only works with subdivided polygons (!)");
+            OSL_ENSURE(!rCandidateA.isClosed() && !rCandidateB.isClosed(), "findCutsAndTouchesAndCommonForBezier only works with opened polygons (!)");
+            const sal_uInt32 nPointCountA(rCandidateA.count());
+            const sal_uInt32 nPointCountB(rCandidateB.count());
+
+            if(nPointCountA <= 1 || nPointCountB <= 1)
+                return;
+
+            const sal_uInt32 nEdgeCountA(nPointCountA - 1);
+            const sal_uInt32 nEdgeCountB(nPointCountB - 1);
+            B2DPoint aCurrA(rCandidateA.getB2DPoint(0));
+
+            for(sal_uInt32 a(0); a < nEdgeCountA; a++)
+            {
+                const B2DPoint aNextA(rCandidateA.getB2DPoint(a + 1));
+                const B2DRange aRangeA(aCurrA, aNextA);
+                B2DPoint aCurrB(rCandidateB.getB2DPoint(0));
+
+                for(sal_uInt32 b(0); b < nEdgeCountB; b++)
+                {
+                    const B2DPoint aNextB(rCandidateB.getB2DPoint(b + 1));
+                    const B2DRange aRangeB(aCurrB, aNextB);
+
+                    if(aRangeA.overlaps(aRangeB))
+                    {
+                        // no null length edges
+                        if(!(aCurrA.equal(aNextA) || aCurrB.equal(aNextB)))
+                        {
+                            const B2DVector aVecA(aNextA - aCurrA);
+                            const B2DVector aVecB(aNextB - aCurrB);
+                            double fCutA(aVecA.cross(aVecB));
+
+                            if(!fTools::equalZero(fCutA))
+                            {
+                                const double fZero(0.0);
+                                const double fOne(1.0);
+                                fCutA = (aVecB.getY() * (aCurrB.getX() - aCurrA.getX()) + aVecB.getX() * (aCurrA.getY() - aCurrB.getY())) / fCutA;
+
+                                // use range [0.0 .. 1.0[, thus in the loop, all direct aCurrA cuts will be registered
+                                // as 0.0 cut. The 1.0 cut will be registered in the next loop step
+                                if(fTools::moreOrEqual(fCutA, fZero) && fTools::less(fCutA, fOne))
+                                {
+                                    // it's a candidate, but also need to test parameter value of cut on line 2
+                                    double fCutB;
+
+                                    // choose the more precise version
+                                    if(fabs(aVecB.getX()) > fabs(aVecB.getY()))
+                                    {
+                                        fCutB = (aCurrA.getX() + (fCutA * aVecA.getX()) - aCurrB.getX()) / aVecB.getX();
+                                    }
+                                    else
+                                    {
+                                        fCutB = (aCurrA.getY() + (fCutA * aVecA.getY()) - aCurrB.getY()) / aVecB.getY();
+                                    }
+
+                                    // use range [0.0 .. 1.0[, thus in the loop, all direct aCurrA cuts will be registered
+                                    // as 0.0 cut. The 1.0 cut will be registered in the next loop step
+                                    if(fTools::moreOrEqual(fCutB, fZero) && fTools::less(fCutB, fOne))
+                                    {
+                                        // cut is in both ranges. Add points for A and B
+                                        // #i111715# use fTools::equal instead of fTools::equalZero for better accuracy
+                                        if(fTools::equal(fCutA, fZero))
+                                        {
+                                            // ignore for start point in first edge; this is handled
+                                            // by outer methods and would just produce a double point
+                                            if(a)
+                                            {
+                                                rTempPointsA.emplace_back(aCurrA, a, 0.0);
+                                            }
+                                        }
+                                        else
+                                        {
+                                            const B2DPoint aCutPoint(interpolate(aCurrA, aNextA, fCutA));
+                                            rTempPointsA.emplace_back(aCutPoint, a, fCutA);
+                                        }
+
+                                        // #i111715# use fTools::equal instead of fTools::equalZero for better accuracy
+                                        if(fTools::equal(fCutB, fZero))
+                                        {
+                                            // ignore for start point in first edge; this is handled
+                                            // by outer methods and would just produce a double point
+                                            if(b)
+                                            {
+                                                rTempPointsB.emplace_back(aCurrB, b, 0.0);
+                                            }
+                                        }
+                                        else
+                                        {
+                                            const B2DPoint aCutPoint(interpolate(aCurrB, aNextB, fCutB));
+                                            rTempPointsB.emplace_back(aCutPoint, b, fCutB);
+                                        }
+                                    }
+                                }
+                            }
+                        }
+                    }
+
+                    // prepare next step
+                    aCurrB = aNextB;
+                }
+
+                // prepare next step
+                aCurrA = aNextA;
+            }
+        }
+
+        void findEdgeCutsBezierAndEdge(
+            const B2DCubicBezier& rCubicA,
+            const B2DPoint& rCurrB, const B2DPoint& rNextB,
+            sal_uInt32 nIndA, sal_uInt32 nIndB,
+            temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB)
+        {
+            // find all cuts between given bezier segment and edge. Add an entry to the tempPoints
+            // for each common point with the cut value describing the relative position on given
+            // bezier segment and edge.
+            B2DPolygon aTempPolygonA;
+            B2DPolygon aTempPolygonEdge;
+            temporaryPointVector aTempPointVectorA;
+            temporaryPointVector aTempPointVectorEdge;
+
+            // create subdivided polygons and find cuts between them
+            // Keep adaptiveSubdivideByCount due to needed quality
+            aTempPolygonA.reserve(SUBDIVIDE_FOR_CUT_TEST_COUNT + 8);
+            aTempPolygonA.append(rCubicA.getStartPoint());
+            rCubicA.adaptiveSubdivideByCount(aTempPolygonA, SUBDIVIDE_FOR_CUT_TEST_COUNT);
+            aTempPolygonEdge.append(rCurrB);
+            aTempPolygonEdge.append(rNextB);
+
+            // #i76891# using findCuts recursively is not sufficient here
+            findCutsAndTouchesAndCommonForBezier(aTempPolygonA, aTempPolygonEdge, aTempPointVectorA, aTempPointVectorEdge);
+
+            if(!aTempPointVectorA.empty())
+            {
+                // adapt tempVector entries to segment
+                adaptAndTransferCutsWithBezierSegment(aTempPointVectorA, aTempPolygonA, nIndA, rTempPointsA);
+            }
+
+            // append remapped tempVector entries for edge to tempPoints for edge
+            for(const temporaryPoint & rTempPoint : aTempPointVectorEdge)
+            {
+                rTempPointsB.emplace_back(rTempPoint.getPoint(), nIndB, rTempPoint.getCut());
+            }
+        }
+
+        void findEdgeCutsTwoBeziers(
+            const B2DCubicBezier& rCubicA,
+            const B2DCubicBezier& rCubicB,
+            sal_uInt32 nIndA, sal_uInt32 nIndB,
+            temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB)
+        {
+            // find all cuts between the two given bezier segments. Add an entry to the tempPoints
+            // for each common point with the cut value describing the relative position on given
+            // bezier segments.
+            B2DPolygon aTempPolygonA;
+            B2DPolygon aTempPolygonB;
+            temporaryPointVector aTempPointVectorA;
+            temporaryPointVector aTempPointVectorB;
+
+            // create subdivided polygons and find cuts between them
+            // Keep adaptiveSubdivideByCount due to needed quality
+            aTempPolygonA.reserve(SUBDIVIDE_FOR_CUT_TEST_COUNT + 8);
+            aTempPolygonA.append(rCubicA.getStartPoint());
+            rCubicA.adaptiveSubdivideByCount(aTempPolygonA, SUBDIVIDE_FOR_CUT_TEST_COUNT);
+            aTempPolygonB.reserve(SUBDIVIDE_FOR_CUT_TEST_COUNT + 8);
+            aTempPolygonB.append(rCubicB.getStartPoint());
+            rCubicB.adaptiveSubdivideByCount(aTempPolygonB, SUBDIVIDE_FOR_CUT_TEST_COUNT);
+
+            // #i76891# using findCuts recursively is not sufficient here
+            findCutsAndTouchesAndCommonForBezier(aTempPolygonA, aTempPolygonB, aTempPointVectorA, aTempPointVectorB);
+
+            if(!aTempPointVectorA.empty())
+            {
+                // adapt tempVector entries to segment
+                adaptAndTransferCutsWithBezierSegment(aTempPointVectorA, aTempPolygonA, nIndA, rTempPointsA);
+            }
+
+            if(!aTempPointVectorB.empty())
+            {
+                // adapt tempVector entries to segment
+                adaptAndTransferCutsWithBezierSegment(aTempPointVectorB, aTempPolygonB, nIndB, rTempPointsB);
+            }
+        }
+
+        void findEdgeCutsOneBezier(
+            const B2DCubicBezier& rCubicA,
+            sal_uInt32 nInd, temporaryPointVector& rTempPoints)
+        {
+            // avoid expensive part of this method if possible
+            // TODO: use hasAnyExtremum() method instead when it becomes available
+            double fDummy;
+            const bool bHasAnyExtremum = rCubicA.getMinimumExtremumPosition( fDummy );
+            if( !bHasAnyExtremum )
+                return;
+
+            // find all self-intersections on the given bezier segment. Add an entry to the tempPoints
+            // for each self intersection point with the cut value describing the relative position on given
+            // bezier segment.
+            B2DPolygon aTempPolygon;
+            temporaryPointVector aTempPointVector;
+
+            // create subdivided polygon and find cuts on it
+            // Keep adaptiveSubdivideByCount due to needed quality
+            aTempPolygon.reserve(SUBDIVIDE_FOR_CUT_TEST_COUNT + 8);
+            aTempPolygon.append(rCubicA.getStartPoint());
+            rCubicA.adaptiveSubdivideByCount(aTempPolygon, SUBDIVIDE_FOR_CUT_TEST_COUNT);
+            findCuts(aTempPolygon, aTempPointVector);
+
+            if(!aTempPointVector.empty())
+            {
+                // adapt tempVector entries to segment
+                adaptAndTransferCutsWithBezierSegment(aTempPointVector, aTempPolygon, nInd, rTempPoints);
+            }
+        }
+
+        void findCuts(const B2DPolygon& rCandidate, temporaryPointVector& rTempPoints, size_t* pPointLimit)
+        {
+            // find out if there are edges with intersections (self-cuts). If yes, add
+            // entries to rTempPoints accordingly
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(!nPointCount)
+                return;
+
+            const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+
+            if(!nEdgeCount)
+                return;
+
+            const bool bCurvesInvolved(rCandidate.areControlPointsUsed());
+
+            if(bCurvesInvolved)
+            {
+                B2DCubicBezier aCubicA;
+                B2DCubicBezier aCubicB;
+
+                for(sal_uInt32 a(0); a < nEdgeCount - 1; a++)
+                {
+                    rCandidate.getBezierSegment(a, aCubicA);
+                    aCubicA.testAndSolveTrivialBezier();
+                    const bool bEdgeAIsCurve(aCubicA.isBezier());
+                    const B2DRange aRangeA(aCubicA.getRange());
+
+                    if(bEdgeAIsCurve)
+                    {
+                        // curved segments may have self-intersections, do not forget those (!)
+                        findEdgeCutsOneBezier(aCubicA, a, rTempPoints);
+                    }
+
+                    for(sal_uInt32 b(a + 1); b < nEdgeCount; b++)
+                    {
+                        rCandidate.getBezierSegment(b, aCubicB);
+                        aCubicB.testAndSolveTrivialBezier();
+                        const B2DRange aRangeB(aCubicB.getRange());
+
+                        // only overlapping segments need to be tested
+                        // consecutive segments touch of course
+                        bool bOverlap = false;
+                        if( b > a+1)
+                            bOverlap = aRangeA.overlaps(aRangeB);
+                        else
+                            bOverlap = aRangeA.overlapsMore(aRangeB);
+                        if( bOverlap)
+                        {
+                            const bool bEdgeBIsCurve(aCubicB.isBezier());
+                            if(bEdgeAIsCurve && bEdgeBIsCurve)
+                            {
+                                // test for bezier-bezier cuts
+                                findEdgeCutsTwoBeziers(aCubicA, aCubicB, a, b, rTempPoints, rTempPoints);
+                            }
+                            else if(bEdgeAIsCurve)
+                            {
+                                // test for bezier-edge cuts
+                                findEdgeCutsBezierAndEdge(aCubicA, aCubicB.getStartPoint(), aCubicB.getEndPoint(), a, b, rTempPoints, rTempPoints);
+                            }
+                            else if(bEdgeBIsCurve)
+                            {
+                                // test for bezier-edge cuts
+                                findEdgeCutsBezierAndEdge(aCubicB, aCubicA.getStartPoint(), aCubicA.getEndPoint(), b, a, rTempPoints, rTempPoints);
+                            }
+                            else
+                            {
+                                // test for simple edge-edge cuts
+                                findEdgeCutsTwoEdges(aCubicA.getStartPoint(), aCubicA.getEndPoint(), aCubicB.getStartPoint(), aCubicB.getEndPoint(),
+                                    a, b, rTempPoints, rTempPoints);
+                            }
+                        }
+                    }
+                }
+            }
+            else
+            {
+                B2DPoint aCurrA(rCandidate.getB2DPoint(0));
+
+                for(sal_uInt32 a(0); a < nEdgeCount - 1; a++)
+                {
+                    const B2DPoint aNextA(rCandidate.getB2DPoint(a + 1 == nPointCount ? 0 : a + 1));
+                    const B2DRange aRangeA(aCurrA, aNextA);
+                    B2DPoint aCurrB(rCandidate.getB2DPoint(a + 1));
+
+                    for(sal_uInt32 b(a + 1); b < nEdgeCount; b++)
+                    {
+                        const B2DPoint aNextB(rCandidate.getB2DPoint(b + 1 == nPointCount ? 0 : b + 1));
+                        const B2DRange aRangeB(aCurrB, aNextB);
+
+                        // consecutive segments touch of course
+                        bool bOverlap = false;
+                        if( b > a+1)
+                            bOverlap = aRangeA.overlaps(aRangeB);
+                        else
+                            bOverlap = aRangeA.overlapsMore(aRangeB);
+                        if( bOverlap)
+                        {
+                            findEdgeCutsTwoEdges(aCurrA, aNextA, aCurrB, aNextB, a, b, rTempPoints, rTempPoints);
+                        }
+
+                        if (pPointLimit && rTempPoints.size() > *pPointLimit)
+                            break;
+
+                        // prepare next step
+                        aCurrB = aNextB;
+                    }
+
+                    // prepare next step
+                    aCurrA = aNextA;
+                }
+            }
+
+            if (pPointLimit)
+            {
+                if (rTempPoints.size() > *pPointLimit)
+                    *pPointLimit = 0;
+                else
+                    *pPointLimit -= rTempPoints.size();
+            }
+        }
+
+    } // end of anonymous namespace
+} // end of namespace basegfx
+
+namespace basegfx
+{
+    namespace
+    {
+
+        void findTouchesOnEdge(
+            const B2DPoint& rCurr, const B2DPoint& rNext, const B2DPolygon& rPointPolygon,
+            sal_uInt32 nInd, temporaryPointVector& rTempPoints)
+        {
+            // find out if points from rPointPolygon are positioned on given edge. If Yes, add
+            // points there to represent touches (which may be enter or leave nodes later).
+            const sal_uInt32 nPointCount(rPointPolygon.count());
+
+            if(!nPointCount)
+                return;
+
+            const B2DRange aRange(rCurr, rNext);
+            const B2DVector aEdgeVector(rNext - rCurr);
+            bool bTestUsingX(fabs(aEdgeVector.getX()) > fabs(aEdgeVector.getY()));
+
+            for(sal_uInt32 a(0); a < nPointCount; a++)
+            {
+                const B2DPoint aTestPoint(rPointPolygon.getB2DPoint(a));
+
+                if(aRange.isInside(aTestPoint))
+                {
+                    if(!aTestPoint.equal(rCurr) && !aTestPoint.equal(rNext))
+                    {
+                        const B2DVector aTestVector(aTestPoint - rCurr);
+
+                        if(areParallel(aEdgeVector, aTestVector))
+                        {
+                            const double fCut(bTestUsingX
+                                ? aTestVector.getX() / aEdgeVector.getX()
+                                : aTestVector.getY() / aEdgeVector.getY());
+                            const double fZero(0.0);
+                            const double fOne(1.0);
+
+                            if(fTools::more(fCut, fZero) && fTools::less(fCut, fOne))
+                            {
+                                rTempPoints.emplace_back(aTestPoint, nInd, fCut);
+                            }
+                        }
+                    }
+                }
+            }
+        }
+
+        void findTouchesOnCurve(
+            const B2DCubicBezier& rCubicA, const B2DPolygon& rPointPolygon,
+            sal_uInt32 nInd, temporaryPointVector& rTempPoints)
+        {
+            // find all points from rPointPolygon which touch the given bezier segment. Add an entry
+            // for each touch to the given pointVector. The cut for that entry is the relative position on
+            // the given bezier segment.
+            B2DPolygon aTempPolygon;
+            temporaryPointVector aTempPointVector;
+
+            // create subdivided polygon and find cuts on it
+            // Keep adaptiveSubdivideByCount due to needed quality
+            aTempPolygon.reserve(SUBDIVIDE_FOR_CUT_TEST_COUNT + 8);
+            aTempPolygon.append(rCubicA.getStartPoint());
+            rCubicA.adaptiveSubdivideByCount(aTempPolygon, SUBDIVIDE_FOR_CUT_TEST_COUNT);
+            findTouches(aTempPolygon, rPointPolygon, aTempPointVector);
+
+            if(!aTempPointVector.empty())
+            {
+                // adapt tempVector entries to segment
+                adaptAndTransferCutsWithBezierSegment(aTempPointVector, aTempPolygon, nInd, rTempPoints);
+            }
+        }
+
+        void findTouches(const B2DPolygon& rEdgePolygon, const B2DPolygon& rPointPolygon, temporaryPointVector& rTempPoints)
+        {
+            // find out if points from rPointPolygon touch edges from rEdgePolygon. If yes,
+            // add entries to rTempPoints
+            const sal_uInt32 nPointCount(rPointPolygon.count());
+            const sal_uInt32 nEdgePointCount(rEdgePolygon.count());
+
+            if(!(nPointCount && nEdgePointCount))
+                return;
+
+            const sal_uInt32 nEdgeCount(rEdgePolygon.isClosed() ? nEdgePointCount : nEdgePointCount - 1);
+            B2DPoint aCurr(rEdgePolygon.getB2DPoint(0));
+
+            for(sal_uInt32 a(0); a < nEdgeCount; a++)
+            {
+                const sal_uInt32 nNextIndex((a + 1) % nEdgePointCount);
+                const B2DPoint aNext(rEdgePolygon.getB2DPoint(nNextIndex));
+
+                if(!aCurr.equal(aNext))
+                {
+                    bool bHandleAsSimpleEdge(true);
+
+                    if(rEdgePolygon.areControlPointsUsed())
+                    {
+                        const B2DPoint aNextControlPoint(rEdgePolygon.getNextControlPoint(a));
+                        const B2DPoint aPrevControlPoint(rEdgePolygon.getPrevControlPoint(nNextIndex));
+                        const bool bEdgeIsCurve(!aNextControlPoint.equal(aCurr) || !aPrevControlPoint.equal(aNext));
+
+                        if(bEdgeIsCurve)
+                        {
+                            bHandleAsSimpleEdge = false;
+                            const B2DCubicBezier aCubicA(aCurr, aNextControlPoint, aPrevControlPoint, aNext);
+                            findTouchesOnCurve(aCubicA, rPointPolygon, a, rTempPoints);
+                        }
+                    }
+
+                    if(bHandleAsSimpleEdge)
+                    {
+                        findTouchesOnEdge(aCurr, aNext, rPointPolygon, a, rTempPoints);
+                    }
+                }
+
+                // next step
+                aCurr = aNext;
+            }
+        }
+
+    } // end of anonymous namespace
+} // end of namespace basegfx
+
+namespace basegfx
+{
+    namespace
+    {
+
+        void findCuts(const B2DPolygon& rCandidateA, const B2DPolygon& rCandidateB, temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB)
+        {
+            // find out if edges from both polygons cut. If so, add entries to rTempPoints which
+            // should be added to the polygons accordingly
+            const sal_uInt32 nPointCountA(rCandidateA.count());
+            const sal_uInt32 nPointCountB(rCandidateB.count());
+
+            if(!(nPointCountA && nPointCountB))
+                return;
+
+            const sal_uInt32 nEdgeCountA(rCandidateA.isClosed() ? nPointCountA : nPointCountA - 1);
+            const sal_uInt32 nEdgeCountB(rCandidateB.isClosed() ? nPointCountB : nPointCountB - 1);
+
+            if(!(nEdgeCountA && nEdgeCountB))
+                return;
+
+            const bool bCurvesInvolved(rCandidateA.areControlPointsUsed() || rCandidateB.areControlPointsUsed());
+
+            if(bCurvesInvolved)
+            {
+                B2DCubicBezier aCubicA;
+                B2DCubicBezier aCubicB;
+
+                for(sal_uInt32 a(0); a < nEdgeCountA; a++)
+                {
+                    rCandidateA.getBezierSegment(a, aCubicA);
+                    aCubicA.testAndSolveTrivialBezier();
+                    const bool bEdgeAIsCurve(aCubicA.isBezier());
+                    const B2DRange aRangeA(aCubicA.getRange());
+
+                    for(sal_uInt32 b(0); b < nEdgeCountB; b++)
+                    {
+                        rCandidateB.getBezierSegment(b, aCubicB);
+                        aCubicB.testAndSolveTrivialBezier();
+                        const B2DRange aRangeB(aCubicB.getRange());
+
+                        // consecutive segments touch of course
+                        bool bOverlap = false;
+                        if( b > a+1)
+                            bOverlap = aRangeA.overlaps(aRangeB);
+                        else
+                            bOverlap = aRangeA.overlapsMore(aRangeB);
+                        if( bOverlap)
+                        {
+                            const bool bEdgeBIsCurve(aCubicB.isBezier());
+                            if(bEdgeAIsCurve && bEdgeBIsCurve)
+                            {
+                                // test for bezier-bezier cuts
+                                findEdgeCutsTwoBeziers(aCubicA, aCubicB, a, b, rTempPointsA, rTempPointsB);
+                            }
+                            else if(bEdgeAIsCurve)
+                            {
+                                // test for bezier-edge cuts
+                                findEdgeCutsBezierAndEdge(aCubicA, aCubicB.getStartPoint(), aCubicB.getEndPoint(), a, b, rTempPointsA, rTempPointsB);
+                            }
+                            else if(bEdgeBIsCurve)
+                            {
+                                // test for bezier-edge cuts
+                                findEdgeCutsBezierAndEdge(aCubicB, aCubicA.getStartPoint(), aCubicA.getEndPoint(), b, a, rTempPointsB, rTempPointsA);
+                            }
+                            else
+                            {
+                                // test for simple edge-edge cuts
+                                findEdgeCutsTwoEdges(aCubicA.getStartPoint(), aCubicA.getEndPoint(), aCubicB.getStartPoint(), aCubicB.getEndPoint(),
+                                    a, b, rTempPointsA, rTempPointsB);
+                            }
+                        }
+                    }
+                }
+            }
+            else
+            {
+                B2DPoint aCurrA(rCandidateA.getB2DPoint(0));
+
+                for(sal_uInt32 a(0); a < nEdgeCountA; a++)
+                {
+                    const B2DPoint aNextA(rCandidateA.getB2DPoint(a + 1 == nPointCountA ? 0 : a + 1));
+                    const B2DRange aRangeA(aCurrA, aNextA);
+                    B2DPoint aCurrB(rCandidateB.getB2DPoint(0));
+
+                    for(sal_uInt32 b(0); b < nEdgeCountB; b++)
+                    {
+                        const B2DPoint aNextB(rCandidateB.getB2DPoint(b + 1 == nPointCountB ? 0 : b + 1));
+                        const B2DRange aRangeB(aCurrB, aNextB);
+
+                        // consecutive segments touch of course
+                        bool bOverlap = false;
+                        if( b > a+1)
+                            bOverlap = aRangeA.overlaps(aRangeB);
+                        else
+                            bOverlap = aRangeA.overlapsMore(aRangeB);
+                        if( bOverlap)
+                        {
+                            // test for simple edge-edge cuts
+                            findEdgeCutsTwoEdges(aCurrA, aNextA, aCurrB, aNextB, a, b, rTempPointsA, rTempPointsB);
+                        }
+
+                        // prepare next step
+                        aCurrB = aNextB;
+                    }
+
+                    // prepare next step
+                    aCurrA = aNextA;
+                }
+            }
+        }
+
+    } // end of anonymous namespace
+} // end of namespace basegfx
+
+namespace basegfx::utils
+{
+
+        B2DPolygon addPointsAtCutsAndTouches(const B2DPolygon& rCandidate, size_t* pPointLimit)
+        {
+            if(rCandidate.count())
+            {
+                temporaryPointVector aTempPoints;
+
+                findTouches(rCandidate, rCandidate, aTempPoints);
+                findCuts(rCandidate, aTempPoints, pPointLimit);
+                if (pPointLimit && !*pPointLimit)
+                {
+                    SAL_WARN("basegfx", "addPointsAtCutsAndTouches hit point limit");
+                    return rCandidate;
+                }
+
+                return mergeTemporaryPointsAndPolygon(rCandidate, aTempPoints);
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DPolyPolygon addPointsAtCutsAndTouches(const B2DPolyPolygon& rCandidate, size_t* pPointLimit)
+        {
+            const sal_uInt32 nCount(rCandidate.count());
+
+            if(nCount)
+            {
+                B2DPolyPolygon aRetval;
+
+                if(nCount == 1)
+                {
+                    // remove self intersections
+                    aRetval.append(addPointsAtCutsAndTouches(rCandidate.getB2DPolygon(0)));
+                }
+                else
+                {
+                    // first solve self cuts and self touches for all contained single polygons
+                    std::unique_ptr<temporaryPolygonData[]> pTempData(new temporaryPolygonData[nCount]);
+                    sal_uInt32 a, b;
+
+                    for(a = 0; a < nCount; a++)
+                    {
+                        // use polygons with solved self intersections
+                        pTempData[a].setPolygon(addPointsAtCutsAndTouches(rCandidate.getB2DPolygon(a), pPointLimit));
+                    }
+
+                    if (pPointLimit && !*pPointLimit)
+                    {
+                        SAL_WARN("basegfx", "addPointsAtCutsAndTouches hit point limit");
+                        return rCandidate;
+                    }
+
+                    // now cuts and touches between the polygons
+                    for(a = 0; a < nCount; a++)
+                    {
+                        for(b = 0; b < nCount; b++)
+                        {
+                            if(a != b)
+                            {
+                                // look for touches, compare each edge polygon to all other points
+                                if(pTempData[a].getRange().overlaps(pTempData[b].getRange()))
+                                {
+                                    findTouches(pTempData[a].getPolygon(), pTempData[b].getPolygon(), pTempData[a].getTemporaryPointVector());
+                                }
+                            }
+
+                            if(a < b)
+                            {
+                                // look for cuts, compare each edge polygon to following ones
+                                if(pTempData[a].getRange().overlaps(pTempData[b].getRange()))
+                                {
+                                    findCuts(pTempData[a].getPolygon(), pTempData[b].getPolygon(), pTempData[a].getTemporaryPointVector(), pTempData[b].getTemporaryPointVector());
+                                }
+                            }
+                        }
+                    }
+
+                    // consolidate the result
+                    for(a = 0; a < nCount; a++)
+                    {
+                        aRetval.append(mergeTemporaryPointsAndPolygon(pTempData[a].getPolygon(), pTempData[a].getTemporaryPointVector()));
+                    }
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DPolygon addPointsAtCuts(const B2DPolygon& rCandidate, const B2DPoint& rStart, const B2DPoint& rEnd)
+        {
+            const sal_uInt32 nCount(rCandidate.count());
+
+            if(nCount && !rStart.equal(rEnd))
+            {
+                const B2DRange aPolygonRange(rCandidate.getB2DRange());
+                const B2DRange aEdgeRange(rStart, rEnd);
+
+                if(aPolygonRange.overlaps(aEdgeRange))
+                {
+                    const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nCount : nCount - 1);
+                    temporaryPointVector aTempPoints;
+                    temporaryPointVector aUnusedTempPoints;
+                    B2DCubicBezier aCubic;
+
+                    for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                    {
+                        rCandidate.getBezierSegment(a, aCubic);
+                        B2DRange aCubicRange(aCubic.getStartPoint(), aCubic.getEndPoint());
+
+                        if(aCubic.isBezier())
+                        {
+                            aCubicRange.expand(aCubic.getControlPointA());
+                            aCubicRange.expand(aCubic.getControlPointB());
+
+                            if(aCubicRange.overlaps(aEdgeRange))
+                            {
+                                findEdgeCutsBezierAndEdge(aCubic, rStart, rEnd, a, 0, aTempPoints, aUnusedTempPoints);
+                            }
+                        }
+                        else
+                        {
+                            if(aCubicRange.overlaps(aEdgeRange))
+                            {
+                                findEdgeCutsTwoEdges(aCubic.getStartPoint(), aCubic.getEndPoint(), rStart, rEnd, a, 0, aTempPoints, aUnusedTempPoints);
+                            }
+                        }
+                    }
+
+                    return mergeTemporaryPointsAndPolygon(rCandidate, aTempPoints);
+                }
+            }
+
+            return rCandidate;
+        }
+
+        B2DPolygon addPointsAtCuts(const B2DPolygon& rCandidate, const B2DPolyPolygon& rPolyMask)
+        {
+            const sal_uInt32 nCountA(rCandidate.count());
+            const sal_uInt32 nCountM(rPolyMask.count());
+
+            if(nCountA && nCountM)
+            {
+                const B2DRange aRangeA(rCandidate.getB2DRange());
+                const B2DRange aRangeM(rPolyMask.getB2DRange());
+
+                if(aRangeA.overlaps(aRangeM))
+                {
+                    const sal_uInt32 nEdgeCountA(rCandidate.isClosed() ? nCountA : nCountA - 1);
+                    temporaryPointVector aTempPointsA;
+                    temporaryPointVector aUnusedTempPointsB;
+
+                    for(sal_uInt32 m(0); m < nCountM; m++)
+                    {
+                        const B2DPolygon& aMask(rPolyMask.getB2DPolygon(m));
+                        const sal_uInt32 nCountB(aMask.count());
+
+                        if(nCountB)
+                        {
+                            B2DCubicBezier aCubicA;
+                            B2DCubicBezier aCubicB;
+
+                            for(sal_uInt32 a(0); a < nEdgeCountA; a++)
+                            {
+                                rCandidate.getBezierSegment(a, aCubicA);
+                                const bool bCubicAIsCurve(aCubicA.isBezier());
+                                B2DRange aCubicRangeA(aCubicA.getStartPoint(), aCubicA.getEndPoint());
+
+                                if(bCubicAIsCurve)
+                                {
+                                    aCubicRangeA.expand(aCubicA.getControlPointA());
+                                    aCubicRangeA.expand(aCubicA.getControlPointB());
+                                }
+
+                                for(sal_uInt32 b(0); b < nCountB; b++)
+                                {
+                                    aMask.getBezierSegment(b, aCubicB);
+                                    const bool bCubicBIsCurve(aCubicB.isBezier());
+                                    B2DRange aCubicRangeB(aCubicB.getStartPoint(), aCubicB.getEndPoint());
+
+                                    if(bCubicBIsCurve)
+                                    {
+                                        aCubicRangeB.expand(aCubicB.getControlPointA());
+                                        aCubicRangeB.expand(aCubicB.getControlPointB());
+                                    }
+
+                                    if(aCubicRangeA.overlaps(aCubicRangeB))
+                                    {
+                                        if(bCubicAIsCurve && bCubicBIsCurve)
+                                        {
+                                            findEdgeCutsTwoBeziers(aCubicA, aCubicB, a, b, aTempPointsA, aUnusedTempPointsB);
+                                        }
+                                        else if(bCubicAIsCurve)
+                                        {
+                                            findEdgeCutsBezierAndEdge(aCubicA, aCubicB.getStartPoint(), aCubicB.getEndPoint(), a, b, aTempPointsA, aUnusedTempPointsB);
+                                        }
+                                        else if(bCubicBIsCurve)
+                                        {
+                                            findEdgeCutsBezierAndEdge(aCubicB, aCubicA.getStartPoint(), aCubicA.getEndPoint(), b, a, aUnusedTempPointsB, aTempPointsA);
+                                        }
+                                        else
+                                        {
+                                            findEdgeCutsTwoEdges(aCubicA.getStartPoint(), aCubicA.getEndPoint(), aCubicB.getStartPoint(), aCubicB.getEndPoint(), a, b, aTempPointsA, aUnusedTempPointsB);
+                                        }
+                                    }
+                                }
+                            }
+                        }
+                    }
+
+                    return mergeTemporaryPointsAndPolygon(rCandidate, aTempPointsA);
+                }
+            }
+
+            return rCandidate;
+        }
+
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dpolygontools.cxx b/basegfx/source/polygon/b2dpolygontools.cxx
new file mode 100644
index 000000000..c6eb3cf5b
--- /dev/null
+++ b/basegfx/source/polygon/b2dpolygontools.cxx
@@ -0,0 +1,3578 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+#include <numeric>
+#include <algorithm>
+
+#include <basegfx/numeric/ftools.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <osl/diagnose.h>
+#include <rtl/math.hxx>
+#include <sal/log.hxx>
+#include <basegfx/polygon/b2dpolygon.hxx>
+#include <basegfx/polygon/b2dpolypolygon.hxx>
+#include <basegfx/range/b2drange.hxx>
+#include <basegfx/curve/b2dcubicbezier.hxx>
+#include <basegfx/point/b3dpoint.hxx>
+#include <basegfx/matrix/b3dhommatrix.hxx>
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <basegfx/curve/b2dbeziertools.hxx>
+#include <basegfx/matrix/b2dhommatrixtools.hxx>
+
+// #i37443#
+#define ANGLE_BOUND_START_VALUE     (2.25)
+#define ANGLE_BOUND_MINIMUM_VALUE   (0.1)
+#define STEPSPERQUARTER     (3)
+
+namespace basegfx::utils
+{
+        void openWithGeometryChange(B2DPolygon& rCandidate)
+        {
+            if(!rCandidate.isClosed())
+                return;
+
+            if(rCandidate.count())
+            {
+                rCandidate.append(rCandidate.getB2DPoint(0));
+
+                if(rCandidate.areControlPointsUsed() && rCandidate.isPrevControlPointUsed(0))
+                {
+                    rCandidate.setPrevControlPoint(rCandidate.count() - 1, rCandidate.getPrevControlPoint(0));
+                    rCandidate.resetPrevControlPoint(0);
+                }
+            }
+
+            rCandidate.setClosed(false);
+        }
+
+        void closeWithGeometryChange(B2DPolygon& rCandidate)
+        {
+            if(rCandidate.isClosed())
+                return;
+
+            while(rCandidate.count() > 1 && rCandidate.getB2DPoint(0) == rCandidate.getB2DPoint(rCandidate.count() - 1))
+            {
+                if(rCandidate.areControlPointsUsed() && rCandidate.isPrevControlPointUsed(rCandidate.count() - 1))
+                {
+                    rCandidate.setPrevControlPoint(0, rCandidate.getPrevControlPoint(rCandidate.count() - 1));
+                }
+
+                rCandidate.remove(rCandidate.count() - 1);
+            }
+
+            rCandidate.setClosed(true);
+        }
+
+        void checkClosed(B2DPolygon& rCandidate)
+        {
+            // #i80172# Removed unnecessary assertion
+            // OSL_ENSURE(!rCandidate.isClosed(), "checkClosed: already closed (!)");
+
+            if(rCandidate.count() > 1 && rCandidate.getB2DPoint(0) == rCandidate.getB2DPoint(rCandidate.count() - 1))
+            {
+                closeWithGeometryChange(rCandidate);
+            }
+        }
+
+        // Get successor and predecessor indices. Returning the same index means there
+        // is none. Same for successor.
+        sal_uInt32 getIndexOfPredecessor(sal_uInt32 nIndex, const B2DPolygon& rCandidate)
+        {
+            OSL_ENSURE(nIndex < rCandidate.count(), "getIndexOfPredecessor: Access to polygon out of range (!)");
+
+            if(nIndex)
+            {
+                return nIndex - 1;
+            }
+            else if(rCandidate.count())
+            {
+                return rCandidate.count() - 1;
+            }
+            else
+            {
+                return nIndex;
+            }
+        }
+
+        sal_uInt32 getIndexOfSuccessor(sal_uInt32 nIndex, const B2DPolygon& rCandidate)
+        {
+            OSL_ENSURE(nIndex < rCandidate.count(), "getIndexOfPredecessor: Access to polygon out of range (!)");
+
+            if(nIndex + 1 < rCandidate.count())
+            {
+                return nIndex + 1;
+            }
+            else if(nIndex + 1 == rCandidate.count())
+            {
+                return 0;
+            }
+            else
+            {
+                return nIndex;
+            }
+        }
+
+        B2VectorOrientation getOrientation(const B2DPolygon& rCandidate)
+        {
+            B2VectorOrientation eRetval(B2VectorOrientation::Neutral);
+
+            if(rCandidate.count() > 2 || rCandidate.areControlPointsUsed())
+            {
+                const double fSignedArea(getSignedArea(rCandidate));
+
+                if(fTools::equalZero(fSignedArea))
+                {
+                    // B2VectorOrientation::Neutral, already set
+                }
+                if(fSignedArea > 0.0)
+                {
+                    eRetval = B2VectorOrientation::Positive;
+                }
+                else if(fSignedArea < 0.0)
+                {
+                    eRetval = B2VectorOrientation::Negative;
+                }
+            }
+
+            return eRetval;
+        }
+
+        B2VectorContinuity getContinuityInPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndex)
+        {
+            return rCandidate.getContinuityInPoint(nIndex);
+        }
+
+        B2DPolygon adaptiveSubdivideByDistance(const B2DPolygon& rCandidate, double fDistanceBound)
+        {
+            if(rCandidate.areControlPointsUsed())
+            {
+                const sal_uInt32 nPointCount(rCandidate.count());
+                B2DPolygon aRetval;
+
+                if(nPointCount)
+                {
+                    // prepare edge-oriented loop
+                    const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                    B2DCubicBezier aBezier;
+                    aBezier.setStartPoint(rCandidate.getB2DPoint(0));
+
+                    // perf: try to avoid too many reallocations by guessing the result's pointcount
+                    aRetval.reserve(nPointCount*4);
+
+                    // add start point (always)
+                    aRetval.append(aBezier.getStartPoint());
+
+                    for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                    {
+                        // get next and control points
+                        const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                        aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+                        aBezier.setControlPointA(rCandidate.getNextControlPoint(a));
+                        aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+                        aBezier.testAndSolveTrivialBezier();
+
+                        if(aBezier.isBezier())
+                        {
+                            // add curved edge and generate DistanceBound
+                            double fBound(0.0);
+
+                            if(fDistanceBound == 0.0)
+                            {
+                                // If not set, use B2DCubicBezier functionality to guess a rough value
+                                const double fRoughLength((aBezier.getEdgeLength() + aBezier.getControlPolygonLength()) / 2.0);
+
+                                // take 1/100th of the rough curve length
+                                fBound = fRoughLength * 0.01;
+                            }
+                            else
+                            {
+                                // use given bound value
+                                fBound = fDistanceBound;
+                            }
+
+                            // make sure bound value is not too small. The base units are 1/100th mm, thus
+                            // just make sure it's not smaller then 1/100th of that
+                            if(fBound < 0.01)
+                            {
+                                fBound = 0.01;
+                            }
+
+                            // call adaptive subdivide which adds edges to aRetval accordingly
+                            aBezier.adaptiveSubdivideByDistance(aRetval, fBound);
+                        }
+                        else
+                        {
+                            // add non-curved edge
+                            aRetval.append(aBezier.getEndPoint());
+                        }
+
+                        // prepare next step
+                        aBezier.setStartPoint(aBezier.getEndPoint());
+                    }
+
+                    if(rCandidate.isClosed())
+                    {
+                        // set closed flag and correct last point (which is added double now).
+                        closeWithGeometryChange(aRetval);
+                    }
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DPolygon adaptiveSubdivideByAngle(const B2DPolygon& rCandidate, double fAngleBound)
+        {
+            if(rCandidate.areControlPointsUsed())
+            {
+                const sal_uInt32 nPointCount(rCandidate.count());
+                B2DPolygon aRetval;
+
+                if(nPointCount)
+                {
+                    // prepare edge-oriented loop
+                    const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                    B2DCubicBezier aBezier;
+                    aBezier.setStartPoint(rCandidate.getB2DPoint(0));
+
+                    // perf: try to avoid too many reallocations by guessing the result's pointcount
+                    aRetval.reserve(nPointCount*4);
+
+                    // add start point (always)
+                    aRetval.append(aBezier.getStartPoint());
+
+                    // #i37443# prepare convenient AngleBound if none was given
+                    if(fAngleBound == 0.0)
+                    {
+                        fAngleBound = ANGLE_BOUND_START_VALUE;
+                    }
+                    else if(fTools::less(fAngleBound, ANGLE_BOUND_MINIMUM_VALUE))
+                    {
+                        fAngleBound = 0.1;
+                    }
+
+                    for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                    {
+                        // get next and control points
+                        const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                        aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+                        aBezier.setControlPointA(rCandidate.getNextControlPoint(a));
+                        aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+                        aBezier.testAndSolveTrivialBezier();
+
+                        if(aBezier.isBezier())
+                        {
+                            // call adaptive subdivide
+                            aBezier.adaptiveSubdivideByAngle(aRetval, fAngleBound);
+                        }
+                        else
+                        {
+                            // add non-curved edge
+                            aRetval.append(aBezier.getEndPoint());
+                        }
+
+                        // prepare next step
+                        aBezier.setStartPoint(aBezier.getEndPoint());
+                    }
+
+                    if(rCandidate.isClosed())
+                    {
+                        // set closed flag and correct last point (which is added double now).
+                        closeWithGeometryChange(aRetval);
+                    }
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        bool isInside(const B2DPolygon& rCandidate, const B2DPoint& rPoint, bool bWithBorder)
+        {
+            const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate);
+
+            if(bWithBorder && isPointOnPolygon(aCandidate, rPoint))
+            {
+                return true;
+            }
+            else
+            {
+                bool bRetval(false);
+                const sal_uInt32 nPointCount(aCandidate.count());
+
+                if(nPointCount)
+                {
+                    B2DPoint aCurrentPoint(aCandidate.getB2DPoint(nPointCount - 1));
+
+                    for(sal_uInt32 a(0); a < nPointCount; a++)
+                    {
+                        const B2DPoint aPreviousPoint(aCurrentPoint);
+                        aCurrentPoint = aCandidate.getB2DPoint(a);
+
+                        // cross-over in Y? tdf#130150 use full precision, no need for epsilon
+                        const bool bCompYA(aPreviousPoint.getY() > rPoint.getY());
+                        const bool bCompYB(aCurrentPoint.getY() > rPoint.getY());
+
+                        if(bCompYA != bCompYB)
+                        {
+                            // cross-over in X? tdf#130150 use full precision, no need for epsilon
+                            const bool bCompXA(aPreviousPoint.getX() > rPoint.getX());
+                            const bool bCompXB(aCurrentPoint.getX() > rPoint.getX());
+
+                            if(bCompXA == bCompXB)
+                            {
+                                if(bCompXA)
+                                {
+                                    bRetval = !bRetval;
+                                }
+                            }
+                            else
+                            {
+                                const double fCompare(
+                                    aCurrentPoint.getX() - (aCurrentPoint.getY() - rPoint.getY()) *
+                                    (aPreviousPoint.getX() - aCurrentPoint.getX()) /
+                                    (aPreviousPoint.getY() - aCurrentPoint.getY()));
+
+                                // tdf#130150 use full precision, no need for epsilon
+                                if(fCompare > rPoint.getX())
+                                {
+                                    bRetval = !bRetval;
+                                }
+                            }
+                        }
+                    }
+                }
+
+                return bRetval;
+            }
+        }
+
+        bool isInside(const B2DPolygon& rCandidate, const B2DPolygon& rPolygon, bool bWithBorder)
+        {
+            const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate);
+            const B2DPolygon aPolygon(rPolygon.areControlPointsUsed() ? rPolygon.getDefaultAdaptiveSubdivision() : rPolygon);
+            const sal_uInt32 nPointCount(aPolygon.count());
+
+            for(sal_uInt32 a(0); a < nPointCount; a++)
+            {
+                const B2DPoint aTestPoint(aPolygon.getB2DPoint(a));
+
+                if(!isInside(aCandidate, aTestPoint, bWithBorder))
+                {
+                    return false;
+                }
+            }
+
+            return true;
+        }
+
+        B2DRange getRange(const B2DPolygon& rCandidate)
+        {
+            // changed to use internally buffered version at B2DPolygon
+            return rCandidate.getB2DRange();
+        }
+
+        double getSignedArea(const B2DPolygon& rCandidate)
+        {
+            const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate);
+            double fRetval(0.0);
+            const sal_uInt32 nPointCount(aCandidate.count());
+
+            if(nPointCount > 2)
+            {
+                for(sal_uInt32 a(0); a < nPointCount; a++)
+                {
+                    const B2DPoint aPreviousPoint(aCandidate.getB2DPoint((!a) ? nPointCount - 1 : a - 1));
+                    const B2DPoint aCurrentPoint(aCandidate.getB2DPoint(a));
+
+                    fRetval += aPreviousPoint.getX() * aCurrentPoint.getY();
+                    fRetval -= aPreviousPoint.getY() * aCurrentPoint.getX();
+                }
+
+                // correct to zero if small enough. Also test the quadratic
+                // of the result since the precision is near quadratic due to
+                // the algorithm
+                if(fTools::equalZero(fRetval) || fTools::equalZero(fRetval * fRetval))
+                {
+                    fRetval = 0.0;
+                }
+            }
+
+            return fRetval;
+        }
+
+        double getArea(const B2DPolygon& rCandidate)
+        {
+            double fRetval(0.0);
+
+            if(rCandidate.count() > 2 || rCandidate.areControlPointsUsed())
+            {
+                fRetval = getSignedArea(rCandidate);
+                const double fZero(0.0);
+
+                if(fTools::less(fRetval, fZero))
+                {
+                    fRetval = -fRetval;
+                }
+            }
+
+            return fRetval;
+        }
+
+        double getEdgeLength(const B2DPolygon& rCandidate, sal_uInt32 nIndex)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+            OSL_ENSURE(nIndex < nPointCount, "getEdgeLength: Access to polygon out of range (!)");
+            double fRetval(0.0);
+
+            if(nPointCount)
+            {
+                const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+
+                if(rCandidate.areControlPointsUsed())
+                {
+                    B2DCubicBezier aEdge;
+
+                    aEdge.setStartPoint(rCandidate.getB2DPoint(nIndex));
+                    aEdge.setControlPointA(rCandidate.getNextControlPoint(nIndex));
+                    aEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+                    aEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+
+                    fRetval = aEdge.getLength();
+                }
+                else
+                {
+                    const B2DPoint aCurrent(rCandidate.getB2DPoint(nIndex));
+                    const B2DPoint aNext(rCandidate.getB2DPoint(nNextIndex));
+
+                    fRetval = B2DVector(aNext - aCurrent).getLength();
+                }
+            }
+
+            return fRetval;
+        }
+
+        double getLength(const B2DPolygon& rCandidate)
+        {
+            double fRetval(0.0);
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount)
+            {
+                const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+
+                if(rCandidate.areControlPointsUsed())
+                {
+                    B2DCubicBezier aEdge;
+                    aEdge.setStartPoint(rCandidate.getB2DPoint(0));
+
+                    for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                    {
+                        const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                        aEdge.setControlPointA(rCandidate.getNextControlPoint(a));
+                        aEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+                        aEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+
+                        fRetval += aEdge.getLength();
+                        aEdge.setStartPoint(aEdge.getEndPoint());
+                    }
+                }
+                else
+                {
+                    B2DPoint aCurrent(rCandidate.getB2DPoint(0));
+
+                    for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                    {
+                        const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                        const B2DPoint aNext(rCandidate.getB2DPoint(nNextIndex));
+
+                        fRetval += B2DVector(aNext - aCurrent).getLength();
+                        aCurrent = aNext;
+                    }
+                }
+            }
+
+            return fRetval;
+        }
+
+        B2DPoint getPositionAbsolute(const B2DPolygon& rCandidate, double fDistance, double fLength)
+        {
+            B2DPoint aRetval;
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if( nPointCount == 1 )
+            {
+                // only one point (i.e. no edge) - simply take that point
+                aRetval = rCandidate.getB2DPoint(0);
+            }
+            else if(nPointCount > 1)
+            {
+                const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                sal_uInt32 nIndex(0);
+                bool bIndexDone(false);
+
+                // get length if not given
+                if(fTools::equalZero(fLength))
+                {
+                    fLength = getLength(rCandidate);
+                }
+
+                if(fTools::less(fDistance, 0.0))
+                {
+                    // handle fDistance < 0.0
+                    if(rCandidate.isClosed())
+                    {
+                        // if fDistance < 0.0 increment with multiple of fLength
+                        sal_uInt32 nCount(sal_uInt32(-fDistance / fLength));
+                        fDistance += double(nCount + 1) * fLength;
+                    }
+                    else
+                    {
+                        // crop to polygon start
+                        fDistance = 0.0;
+                        bIndexDone = true;
+                    }
+                }
+                else if(fTools::moreOrEqual(fDistance, fLength))
+                {
+                    // handle fDistance >= fLength
+                    if(rCandidate.isClosed())
+                    {
+                        // if fDistance >= fLength decrement with multiple of fLength
+                        sal_uInt32 nCount(sal_uInt32(fDistance / fLength));
+                        fDistance -= static_cast<double>(nCount) * fLength;
+                    }
+                    else
+                    {
+                        // crop to polygon end
+                        fDistance = 0.0;
+                        nIndex = nEdgeCount;
+                        bIndexDone = true;
+                    }
+                }
+
+                // look for correct index. fDistance is now [0.0 .. fLength[
+                double fEdgeLength(getEdgeLength(rCandidate, nIndex));
+
+                while(!bIndexDone)
+                {
+                    // edge found must be on the half-open range
+                    // [0,fEdgeLength).
+                    // Note that in theory, we cannot move beyond
+                    // the last polygon point, since fDistance>=fLength
+                    // is checked above. Unfortunately, with floating-
+                    // point calculations, this case might happen.
+                    // Handled by nIndex check below
+                    if (nIndex+1 < nEdgeCount && fTools::moreOrEqual(fDistance, fEdgeLength))
+                    {
+                        // go to next edge
+                        fDistance -= fEdgeLength;
+                        fEdgeLength = getEdgeLength(rCandidate, ++nIndex);
+                    }
+                    else
+                    {
+                        // it's on this edge, stop
+                        bIndexDone = true;
+                    }
+                }
+
+                // get the point using nIndex
+                aRetval = rCandidate.getB2DPoint(nIndex);
+
+                // if fDistance != 0.0, move that length on the edge. The edge
+                // length is in fEdgeLength.
+                if(!fTools::equalZero(fDistance))
+                {
+                    if(fTools::moreOrEqual(fDistance, fEdgeLength))
+                    {
+                        // end point of chosen edge
+                        const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+                        aRetval = rCandidate.getB2DPoint(nNextIndex);
+                    }
+                    else if(fTools::equalZero(fDistance))
+                    {
+                        // start point of chosen edge
+                    }
+                    else
+                    {
+                        // inside edge
+                        const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+                        const B2DPoint aNextPoint(rCandidate.getB2DPoint(nNextIndex));
+                        bool bDone(false);
+
+                        // add calculated average value to the return value
+                        if(rCandidate.areControlPointsUsed())
+                        {
+                            // get as bezier segment
+                            const B2DCubicBezier aBezierSegment(
+                                aRetval, rCandidate.getNextControlPoint(nIndex),
+                                rCandidate.getPrevControlPoint(nNextIndex), aNextPoint);
+
+                            if(aBezierSegment.isBezier())
+                            {
+                                // use B2DCubicBezierHelper to bridge the non-linear gap between
+                                // length and bezier distances
+                                const B2DCubicBezierHelper aBezierSegmentHelper(aBezierSegment);
+                                const double fBezierDistance(aBezierSegmentHelper.distanceToRelative(fDistance));
+
+                                aRetval = aBezierSegment.interpolatePoint(fBezierDistance);
+                                bDone = true;
+                            }
+                        }
+
+                        if(!bDone)
+                        {
+                            const double fRelativeInEdge(fDistance / fEdgeLength);
+                            aRetval = interpolate(aRetval, aNextPoint, fRelativeInEdge);
+                        }
+                    }
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DPoint getPositionRelative(const B2DPolygon& rCandidate, double fDistance, double fLength)
+        {
+            // get length if not given
+            if(fTools::equalZero(fLength))
+            {
+                fLength = getLength(rCandidate);
+            }
+
+            // multiply fDistance with real length to get absolute position and
+            // use getPositionAbsolute
+            return getPositionAbsolute(rCandidate, fDistance * fLength, fLength);
+        }
+
+        B2DPolygon getSnippetAbsolute(const B2DPolygon& rCandidate, double fFrom, double fTo, double fLength)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount)
+            {
+                // get length if not given
+                if(fTools::equalZero(fLength))
+                {
+                    fLength = getLength(rCandidate);
+                }
+
+                // test and correct fFrom
+                if(fTools::less(fFrom, 0.0))
+                {
+                    fFrom = 0.0;
+                }
+
+                // test and correct fTo
+                if(fTools::more(fTo, fLength))
+                {
+                    fTo = fLength;
+                }
+
+                // test and correct relationship of fFrom, fTo
+                if(fTools::more(fFrom, fTo))
+                {
+                    fFrom = fTo = (fFrom + fTo) / 2.0;
+                }
+
+                if(fTools::equalZero(fFrom) && fTools::equal(fTo, fLength))
+                {
+                    // no change, result is the whole polygon
+                    return rCandidate;
+                }
+                else
+                {
+                    B2DPolygon aRetval;
+                    const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                    double fPositionOfStart(0.0);
+                    bool bStartDone(false);
+                    bool bEndDone(false);
+
+                    for(sal_uInt32 a(0); !(bStartDone && bEndDone) && a < nEdgeCount; a++)
+                    {
+                        const double fEdgeLength(getEdgeLength(rCandidate, a));
+
+                        if(!bStartDone)
+                        {
+                            if(fTools::equalZero(fFrom))
+                            {
+                                aRetval.append(rCandidate.getB2DPoint(a));
+
+                                if(rCandidate.areControlPointsUsed())
+                                {
+                                    aRetval.setNextControlPoint(aRetval.count() - 1, rCandidate.getNextControlPoint(a));
+                                }
+
+                                bStartDone = true;
+                            }
+                            else if(fTools::moreOrEqual(fFrom, fPositionOfStart) && fTools::less(fFrom, fPositionOfStart + fEdgeLength))
+                            {
+                                // calculate and add start point
+                                if(fTools::equalZero(fEdgeLength))
+                                {
+                                    aRetval.append(rCandidate.getB2DPoint(a));
+
+                                    if(rCandidate.areControlPointsUsed())
+                                    {
+                                        aRetval.setNextControlPoint(aRetval.count() - 1, rCandidate.getNextControlPoint(a));
+                                    }
+                                }
+                                else
+                                {
+                                    const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                                    const B2DPoint aStart(rCandidate.getB2DPoint(a));
+                                    const B2DPoint aEnd(rCandidate.getB2DPoint(nNextIndex));
+                                    bool bDone(false);
+
+                                    if(rCandidate.areControlPointsUsed())
+                                    {
+                                        const B2DCubicBezier aBezierSegment(
+                                            aStart, rCandidate.getNextControlPoint(a),
+                                            rCandidate.getPrevControlPoint(nNextIndex), aEnd);
+
+                                        if(aBezierSegment.isBezier())
+                                        {
+                                            // use B2DCubicBezierHelper to bridge the non-linear gap between
+                                            // length and bezier distances
+                                            const B2DCubicBezierHelper aBezierSegmentHelper(aBezierSegment);
+                                            const double fBezierDistance(aBezierSegmentHelper.distanceToRelative(fFrom - fPositionOfStart));
+                                            B2DCubicBezier aRight;
+
+                                            aBezierSegment.split(fBezierDistance, nullptr, &aRight);
+                                            aRetval.append(aRight.getStartPoint());
+                                            aRetval.setNextControlPoint(aRetval.count() - 1, aRight.getControlPointA());
+                                            bDone = true;
+                                        }
+                                    }
+
+                                    if(!bDone)
+                                    {
+                                        const double fRelValue((fFrom - fPositionOfStart) / fEdgeLength);
+                                        aRetval.append(interpolate(aStart, aEnd, fRelValue));
+                                    }
+                                }
+
+                                bStartDone = true;
+
+                                // if same point, end is done, too.
+                                if(rtl::math::approxEqual(fFrom, fTo))
+                                {
+                                    bEndDone = true;
+                                }
+                            }
+                        }
+
+                        if(!bEndDone && fTools::moreOrEqual(fTo, fPositionOfStart) && fTools::less(fTo, fPositionOfStart + fEdgeLength))
+                        {
+                            // calculate and add end point
+                            if(fTools::equalZero(fEdgeLength))
+                            {
+                                const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                                aRetval.append(rCandidate.getB2DPoint(nNextIndex));
+
+                                if(rCandidate.areControlPointsUsed())
+                                {
+                                    aRetval.setPrevControlPoint(aRetval.count() - 1, rCandidate.getPrevControlPoint(nNextIndex));
+                                }
+                            }
+                            else
+                            {
+                                const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                                const B2DPoint aStart(rCandidate.getB2DPoint(a));
+                                const B2DPoint aEnd(rCandidate.getB2DPoint(nNextIndex));
+                                bool bDone(false);
+
+                                if(rCandidate.areControlPointsUsed())
+                                {
+                                    const B2DCubicBezier aBezierSegment(
+                                        aStart, rCandidate.getNextControlPoint(a),
+                                        rCandidate.getPrevControlPoint(nNextIndex), aEnd);
+
+                                    if(aBezierSegment.isBezier())
+                                    {
+                                        // use B2DCubicBezierHelper to bridge the non-linear gap between
+                                        // length and bezier distances
+                                        const B2DCubicBezierHelper aBezierSegmentHelper(aBezierSegment);
+                                        const double fBezierDistance(aBezierSegmentHelper.distanceToRelative(fTo - fPositionOfStart));
+                                        B2DCubicBezier aLeft;
+
+                                        aBezierSegment.split(fBezierDistance, &aLeft, nullptr);
+                                        aRetval.append(aLeft.getEndPoint());
+                                        aRetval.setPrevControlPoint(aRetval.count() - 1, aLeft.getControlPointB());
+                                        bDone = true;
+                                    }
+                                }
+
+                                if(!bDone)
+                                {
+                                    const double fRelValue((fTo - fPositionOfStart) / fEdgeLength);
+                                    aRetval.append(interpolate(aStart, aEnd, fRelValue));
+                                }
+                            }
+
+                            bEndDone = true;
+                        }
+
+                        if(!bEndDone)
+                        {
+                            if(bStartDone)
+                            {
+                                // add segments end point
+                                const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                                aRetval.append(rCandidate.getB2DPoint(nNextIndex));
+
+                                if(rCandidate.areControlPointsUsed())
+                                {
+                                    aRetval.setPrevControlPoint(aRetval.count() - 1, rCandidate.getPrevControlPoint(nNextIndex));
+                                    aRetval.setNextControlPoint(aRetval.count() - 1, rCandidate.getNextControlPoint(nNextIndex));
+                                }
+                            }
+
+                            // increment fPositionOfStart
+                            fPositionOfStart += fEdgeLength;
+                        }
+                    }
+                    return aRetval;
+                }
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        CutFlagValue findCut(
+            const B2DPoint& rEdge1Start, const B2DVector& rEdge1Delta,
+            const B2DPoint& rEdge2Start, const B2DVector& rEdge2Delta,
+            CutFlagValue aCutFlags,
+            double* pCut1, double* pCut2)
+        {
+            CutFlagValue aRetval(CutFlagValue::NONE);
+            double fCut1(0.0);
+            double fCut2(0.0);
+            bool bFinished(!static_cast<bool>(aCutFlags & CutFlagValue::ALL));
+
+            // test for same points?
+            if(!bFinished
+                && (aCutFlags & (CutFlagValue::START1|CutFlagValue::END1))
+                && (aCutFlags & (CutFlagValue::START2|CutFlagValue::END2)))
+            {
+                // same startpoint?
+                if((aCutFlags & (CutFlagValue::START1|CutFlagValue::START2)) == (CutFlagValue::START1|CutFlagValue::START2))
+                {
+                    if(rEdge1Start.equal(rEdge2Start))
+                    {
+                        bFinished = true;
+                        aRetval = (CutFlagValue::START1|CutFlagValue::START2);
+                    }
+                }
+
+                // same endpoint?
+                if(!bFinished && (aCutFlags & (CutFlagValue::END1|CutFlagValue::END2)) == (CutFlagValue::END1|CutFlagValue::END2))
+                {
+                    const B2DPoint aEnd1(rEdge1Start + rEdge1Delta);
+                    const B2DPoint aEnd2(rEdge2Start + rEdge2Delta);
+
+                    if(aEnd1.equal(aEnd2))
+                    {
+                        bFinished = true;
+                        aRetval = (CutFlagValue::END1|CutFlagValue::END2);
+                        fCut1 = fCut2 = 1.0;
+                    }
+                }
+
+                // startpoint1 == endpoint2?
+                if(!bFinished && (aCutFlags & (CutFlagValue::START1|CutFlagValue::END2)) == (CutFlagValue::START1|CutFlagValue::END2))
+                {
+                    const B2DPoint aEnd2(rEdge2Start + rEdge2Delta);
+
+                    if(rEdge1Start.equal(aEnd2))
+                    {
+                        bFinished = true;
+                        aRetval = (CutFlagValue::START1|CutFlagValue::END2);
+                        fCut1 = 0.0;
+                        fCut2 = 1.0;
+                    }
+                }
+
+                // startpoint2 == endpoint1?
+                if(!bFinished&& (aCutFlags & (CutFlagValue::START2|CutFlagValue::END1)) == (CutFlagValue::START2|CutFlagValue::END1))
+                {
+                    const B2DPoint aEnd1(rEdge1Start + rEdge1Delta);
+
+                    if(rEdge2Start.equal(aEnd1))
+                    {
+                        bFinished = true;
+                        aRetval = (CutFlagValue::START2|CutFlagValue::END1);
+                        fCut1 = 1.0;
+                        fCut2 = 0.0;
+                    }
+                }
+            }
+
+            if(!bFinished && (aCutFlags & CutFlagValue::LINE))
+            {
+                if(aCutFlags & CutFlagValue::START1)
+                {
+                    // start1 on line 2 ?
+                    if(isPointOnEdge(rEdge1Start, rEdge2Start, rEdge2Delta, &fCut2))
+                    {
+                        bFinished = true;
+                        aRetval = (CutFlagValue::LINE|CutFlagValue::START1);
+                    }
+                }
+
+                if(!bFinished && (aCutFlags & CutFlagValue::START2))
+                {
+                    // start2 on line 1 ?
+                    if(isPointOnEdge(rEdge2Start, rEdge1Start, rEdge1Delta, &fCut1))
+                    {
+                        bFinished = true;
+                        aRetval = (CutFlagValue::LINE|CutFlagValue::START2);
+                    }
+                }
+
+                if(!bFinished && (aCutFlags & CutFlagValue::END1))
+                {
+                    // end1 on line 2 ?
+                    const B2DPoint aEnd1(rEdge1Start + rEdge1Delta);
+
+                    if(isPointOnEdge(aEnd1, rEdge2Start, rEdge2Delta, &fCut2))
+                    {
+                        bFinished = true;
+                        aRetval = (CutFlagValue::LINE|CutFlagValue::END1);
+                    }
+                }
+
+                if(!bFinished && (aCutFlags & CutFlagValue::END2))
+                {
+                    // end2 on line 1 ?
+                    const B2DPoint aEnd2(rEdge2Start + rEdge2Delta);
+
+                    if(isPointOnEdge(aEnd2, rEdge1Start, rEdge1Delta, &fCut1))
+                    {
+                        bFinished = true;
+                        aRetval = (CutFlagValue::LINE|CutFlagValue::END2);
+                    }
+                }
+
+                if(!bFinished)
+                {
+                    // cut in line1, line2 ?
+                    fCut1 = (rEdge1Delta.getX() * rEdge2Delta.getY()) - (rEdge1Delta.getY() * rEdge2Delta.getX());
+
+                    if(!fTools::equalZero(fCut1))
+                    {
+                        fCut1 = (rEdge2Delta.getY() * (rEdge2Start.getX() - rEdge1Start.getX())
+                            + rEdge2Delta.getX() * (rEdge1Start.getY() - rEdge2Start.getY())) / fCut1;
+
+                        const double fZero(0.0);
+                        const double fOne(1.0);
+
+                        // inside parameter range edge1 AND fCut2 is calculable
+                        if(fTools::more(fCut1, fZero) && fTools::less(fCut1, fOne)
+                            && (!fTools::equalZero(rEdge2Delta.getX()) || !fTools::equalZero(rEdge2Delta.getY())))
+                        {
+                            // take the more precise calculation of the two possible
+                            if(fabs(rEdge2Delta.getX()) > fabs(rEdge2Delta.getY()))
+                            {
+                                fCut2 = (rEdge1Start.getX() + fCut1
+                                    * rEdge1Delta.getX() - rEdge2Start.getX()) / rEdge2Delta.getX();
+                            }
+                            else
+                            {
+                                fCut2 = (rEdge1Start.getY() + fCut1
+                                    * rEdge1Delta.getY() - rEdge2Start.getY()) / rEdge2Delta.getY();
+                            }
+
+                            // inside parameter range edge2, too
+                            if(fTools::more(fCut2, fZero) && fTools::less(fCut2, fOne))
+                            {
+                                aRetval = CutFlagValue::LINE;
+                            }
+                        }
+                    }
+                }
+            }
+
+            // copy values if wanted
+            if(pCut1)
+            {
+                *pCut1 = fCut1;
+            }
+
+            if(pCut2)
+            {
+                *pCut2 = fCut2;
+            }
+
+            return aRetval;
+        }
+
+        bool isPointOnEdge(
+            const B2DPoint& rPoint,
+            const B2DPoint& rEdgeStart,
+            const B2DVector& rEdgeDelta,
+            double* pCut)
+        {
+            bool bDeltaXIsZero(fTools::equalZero(rEdgeDelta.getX()));
+            bool bDeltaYIsZero(fTools::equalZero(rEdgeDelta.getY()));
+            const double fZero(0.0);
+            const double fOne(1.0);
+
+            if(bDeltaXIsZero && bDeltaYIsZero)
+            {
+                // no line, just a point
+                return false;
+            }
+            else if(bDeltaXIsZero)
+            {
+                // vertical line
+                if(fTools::equal(rPoint.getX(), rEdgeStart.getX()))
+                {
+                    double fValue = (rPoint.getY() - rEdgeStart.getY()) / rEdgeDelta.getY();
+
+                    if(fTools::more(fValue, fZero) && fTools::less(fValue, fOne))
+                    {
+                        if(pCut)
+                        {
+                            *pCut = fValue;
+                        }
+
+                        return true;
+                    }
+                }
+            }
+            else if(bDeltaYIsZero)
+            {
+                // horizontal line
+                if(fTools::equal(rPoint.getY(), rEdgeStart.getY()))
+                {
+                    double fValue = (rPoint.getX() - rEdgeStart.getX()) / rEdgeDelta.getX();
+
+                    if(fTools::more(fValue, fZero) && fTools::less(fValue, fOne))
+                    {
+                        if(pCut)
+                        {
+                            *pCut = fValue;
+                        }
+
+                        return true;
+                    }
+                }
+            }
+            else
+            {
+                // any angle line
+                double fTOne = (rPoint.getX() - rEdgeStart.getX()) / rEdgeDelta.getX();
+                double fTTwo = (rPoint.getY() - rEdgeStart.getY()) / rEdgeDelta.getY();
+
+                if(fTools::equal(fTOne, fTTwo))
+                {
+                    // same parameter representation, point is on line. Take
+                    // middle value for better results
+                    double fValue = (fTOne + fTTwo) / 2.0;
+
+                    if(fTools::more(fValue, fZero) && fTools::less(fValue, fOne))
+                    {
+                        // point is inside line bounds, too
+                        if(pCut)
+                        {
+                            *pCut = fValue;
+                        }
+
+                        return true;
+                    }
+                }
+            }
+
+            return false;
+        }
+
+        void applyLineDashing(
+            const B2DPolygon& rCandidate,
+            const std::vector<double>& rDotDashArray,
+            B2DPolyPolygon* pLineTarget,
+            B2DPolyPolygon* pGapTarget,
+            double fDotDashLength)
+        {
+            // clear targets in any case
+            if(pLineTarget)
+            {
+                pLineTarget->clear();
+            }
+
+            if(pGapTarget)
+            {
+                pGapTarget->clear();
+            }
+
+            // provide callbacks as lambdas
+            auto aLineCallback(
+                nullptr == pLineTarget
+                ? std::function<void(const basegfx::B2DPolygon&)>()
+                : [&pLineTarget](const basegfx::B2DPolygon& rSnippet){ pLineTarget->append(rSnippet); });
+            auto aGapCallback(
+                nullptr == pGapTarget
+                ? std::function<void(const basegfx::B2DPolygon&)>()
+                : [&pGapTarget](const basegfx::B2DPolygon& rSnippet){ pGapTarget->append(rSnippet); });
+
+            // call version that uses callbacks
+            applyLineDashing(
+                rCandidate,
+                rDotDashArray,
+                aLineCallback,
+                aGapCallback,
+                fDotDashLength);
+        }
+
+        static void implHandleSnippet(
+            const B2DPolygon& rSnippet,
+            const std::function<void(const basegfx::B2DPolygon& rSnippet)>& rTargetCallback,
+            B2DPolygon& rFirst,
+            B2DPolygon& rLast)
+        {
+            if(rSnippet.isClosed())
+            {
+                if(!rFirst.count())
+                {
+                    rFirst = rSnippet;
+                }
+                else
+                {
+                    if(rLast.count())
+                    {
+                        rTargetCallback(rLast);
+                    }
+
+                    rLast = rSnippet;
+                }
+            }
+            else
+            {
+                rTargetCallback(rSnippet);
+            }
+        }
+
+        static void implHandleFirstLast(
+            const std::function<void(const basegfx::B2DPolygon& rSnippet)>& rTargetCallback,
+            B2DPolygon& rFirst,
+            B2DPolygon& rLast)
+        {
+            if(rFirst.count() && rLast.count()
+                && rFirst.getB2DPoint(0).equal(rLast.getB2DPoint(rLast.count() - 1)))
+            {
+                // start of first and end of last are the same -> merge them
+                rLast.append(rFirst);
+                rLast.removeDoublePoints();
+                rFirst.clear();
+            }
+
+            if(rLast.count())
+            {
+                rTargetCallback(rLast);
+            }
+
+            if(rFirst.count())
+            {
+                rTargetCallback(rFirst);
+            }
+        }
+
+        void applyLineDashing(
+            const B2DPolygon& rCandidate,
+            const std::vector<double>& rDotDashArray,
+            std::function<void(const basegfx::B2DPolygon& rSnippet)> aLineTargetCallback,
+            std::function<void(const basegfx::B2DPolygon& rSnippet)> aGapTargetCallback,
+            double fDotDashLength)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+            const sal_uInt32 nDotDashCount(rDotDashArray.size());
+
+            if(fTools::lessOrEqual(fDotDashLength, 0.0))
+            {
+                fDotDashLength = std::accumulate(rDotDashArray.begin(), rDotDashArray.end(), 0.0);
+            }
+
+            if(fTools::lessOrEqual(fDotDashLength, 0.0) || (!aLineTargetCallback && !aGapTargetCallback) || !nPointCount)
+            {
+                // parameters make no sense, just add source to targets
+                if(aLineTargetCallback)
+                {
+                    aLineTargetCallback(rCandidate);
+                }
+
+                if(aGapTargetCallback)
+                {
+                    aGapTargetCallback(rCandidate);
+                }
+
+                return;
+            }
+
+            // precalculate maximal acceptable length of candidate polygon assuming
+            // we want to create a maximum of fNumberOfAllowedSnippets. For
+            // fNumberOfAllowedSnippets use ca. 65536, double due to line & gap.
+            static const double fNumberOfAllowedSnippets(65535.0 * 2.0);
+            const double fAllowedLength((fNumberOfAllowedSnippets * fDotDashLength) / double(rDotDashArray.size()));
+            const double fCandidateLength(basegfx::utils::getLength(rCandidate));
+            std::vector<double> aDotDashArray(rDotDashArray);
+
+            if(fCandidateLength > fAllowedLength)
+            {
+                // we would produce more than fNumberOfAllowedSnippets, so
+                // adapt aDotDashArray to exactly produce assumed number. Also
+                // assert this to let the caller know about it.
+                // If this asserts: Please think about checking your DotDashArray
+                // before calling this function or evtl. use the callback version
+                // to *not* produce that much of data. Even then, you may still
+                // think about producing too much runtime (!)
+                assert(true && "applyLineDashing: potentially too expensive to do the requested dismantle - please consider stretched LineDash pattern (!)");
+
+                // calculate correcting factor, apply to aDotDashArray and fDotDashLength
+                // to enlarge these as needed
+                const double fFactor(fCandidateLength / fAllowedLength);
+                std::for_each(aDotDashArray.begin(), aDotDashArray.end(), [&fFactor](double &f){ f *= fFactor; });
+                fDotDashLength *= fFactor;
+            }
+
+            // prepare current edge's start
+            B2DCubicBezier aCurrentEdge;
+            const bool bIsClosed(rCandidate.isClosed());
+            const sal_uInt32 nEdgeCount(bIsClosed ? nPointCount : nPointCount - 1);
+            aCurrentEdge.setStartPoint(rCandidate.getB2DPoint(0));
+
+            // prepare DotDashArray iteration and the line/gap switching bool
+            sal_uInt32 nDotDashIndex(0);
+            bool bIsLine(true);
+            double fDotDashMovingLength(aDotDashArray[0]);
+            B2DPolygon aSnippet;
+
+            // remember 1st and last snippets to try to merge after execution
+            // is complete and hand to callback
+            B2DPolygon aFirstLine, aLastLine;
+            B2DPolygon aFirstGap, aLastGap;
+
+            // iterate over all edges
+            for(sal_uInt32 a(0); a < nEdgeCount; a++)
+            {
+                // update current edge (fill in C1, C2 and end point)
+                double fLastDotDashMovingLength(0.0);
+                const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                aCurrentEdge.setControlPointA(rCandidate.getNextControlPoint(a));
+                aCurrentEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+                aCurrentEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+
+                // check if we have a trivial bezier segment -> possible fallback to edge
+                aCurrentEdge.testAndSolveTrivialBezier();
+
+                if(aCurrentEdge.isBezier())
+                {
+                    // bezier segment
+                    const B2DCubicBezierHelper aCubicBezierHelper(aCurrentEdge);
+                    const double fEdgeLength(aCubicBezierHelper.getLength());
+
+                    if(!fTools::equalZero(fEdgeLength))
+                    {
+                        while(fTools::less(fDotDashMovingLength, fEdgeLength))
+                        {
+                            // new split is inside edge, create and append snippet [fLastDotDashMovingLength, fDotDashMovingLength]
+                            const bool bHandleLine(bIsLine && aLineTargetCallback);
+                            const bool bHandleGap(!bIsLine && aGapTargetCallback);
+
+                            if(bHandleLine || bHandleGap)
+                            {
+                                const double fBezierSplitStart(aCubicBezierHelper.distanceToRelative(fLastDotDashMovingLength));
+                                const double fBezierSplitEnd(aCubicBezierHelper.distanceToRelative(fDotDashMovingLength));
+                                B2DCubicBezier aBezierSnippet(aCurrentEdge.snippet(fBezierSplitStart, fBezierSplitEnd));
+
+                                if(!aSnippet.count())
+                                {
+                                    aSnippet.append(aBezierSnippet.getStartPoint());
+                                }
+
+                                aSnippet.appendBezierSegment(aBezierSnippet.getControlPointA(), aBezierSnippet.getControlPointB(), aBezierSnippet.getEndPoint());
+
+                                if(bHandleLine)
+                                {
+                                    implHandleSnippet(aSnippet, aLineTargetCallback, aFirstLine, aLastLine);
+                                }
+
+                                if(bHandleGap)
+                                {
+                                    implHandleSnippet(aSnippet, aGapTargetCallback, aFirstGap, aLastGap);
+                                }
+
+                                aSnippet.clear();
+                            }
+
+                            // prepare next DotDashArray step and flip line/gap flag
+                            fLastDotDashMovingLength = fDotDashMovingLength;
+                            fDotDashMovingLength += aDotDashArray[(++nDotDashIndex) % nDotDashCount];
+                            bIsLine = !bIsLine;
+                        }
+
+                        // append closing snippet [fLastDotDashMovingLength, fEdgeLength]
+                        const bool bHandleLine(bIsLine && aLineTargetCallback);
+                        const bool bHandleGap(!bIsLine && aGapTargetCallback);
+
+                        if(bHandleLine || bHandleGap)
+                        {
+                            B2DCubicBezier aRight;
+                            const double fBezierSplit(aCubicBezierHelper.distanceToRelative(fLastDotDashMovingLength));
+
+                            aCurrentEdge.split(fBezierSplit, nullptr, &aRight);
+
+                            if(!aSnippet.count())
+                            {
+                                aSnippet.append(aRight.getStartPoint());
+                            }
+
+                            aSnippet.appendBezierSegment(aRight.getControlPointA(), aRight.getControlPointB(), aRight.getEndPoint());
+                        }
+
+                        // prepare move to next edge
+                        fDotDashMovingLength -= fEdgeLength;
+                    }
+                }
+                else
+                {
+                    // simple edge
+                    const double fEdgeLength(aCurrentEdge.getEdgeLength());
+
+                    if(!fTools::equalZero(fEdgeLength))
+                    {
+                        while(fTools::less(fDotDashMovingLength, fEdgeLength))
+                        {
+                            // new split is inside edge, create and append snippet [fLastDotDashMovingLength, fDotDashMovingLength]
+                            const bool bHandleLine(bIsLine && aLineTargetCallback);
+                            const bool bHandleGap(!bIsLine && aGapTargetCallback);
+
+                            if(bHandleLine || bHandleGap)
+                            {
+                                if(!aSnippet.count())
+                                {
+                                    aSnippet.append(interpolate(aCurrentEdge.getStartPoint(), aCurrentEdge.getEndPoint(), fLastDotDashMovingLength / fEdgeLength));
+                                }
+
+                                aSnippet.append(interpolate(aCurrentEdge.getStartPoint(), aCurrentEdge.getEndPoint(), fDotDashMovingLength / fEdgeLength));
+
+                                if(bHandleLine)
+                                {
+                                    implHandleSnippet(aSnippet, aLineTargetCallback, aFirstLine, aLastLine);
+                                }
+
+                                if(bHandleGap)
+                                {
+                                    implHandleSnippet(aSnippet, aGapTargetCallback, aFirstGap, aLastGap);
+                                }
+
+                                aSnippet.clear();
+                            }
+
+                            // prepare next DotDashArray step and flip line/gap flag
+                            fLastDotDashMovingLength = fDotDashMovingLength;
+                            fDotDashMovingLength += aDotDashArray[(++nDotDashIndex) % nDotDashCount];
+                            bIsLine = !bIsLine;
+                        }
+
+                        // append snippet [fLastDotDashMovingLength, fEdgeLength]
+                        const bool bHandleLine(bIsLine && aLineTargetCallback);
+                        const bool bHandleGap(!bIsLine && aGapTargetCallback);
+
+                        if(bHandleLine || bHandleGap)
+                        {
+                            if(!aSnippet.count())
+                            {
+                                aSnippet.append(interpolate(aCurrentEdge.getStartPoint(), aCurrentEdge.getEndPoint(), fLastDotDashMovingLength / fEdgeLength));
+                            }
+
+                            aSnippet.append(aCurrentEdge.getEndPoint());
+                        }
+
+                        // prepare move to next edge
+                        fDotDashMovingLength -= fEdgeLength;
+                    }
+                }
+
+                // prepare next edge step (end point gets new start point)
+                aCurrentEdge.setStartPoint(aCurrentEdge.getEndPoint());
+            }
+
+            // append last intermediate results (if exists)
+            if(aSnippet.count())
+            {
+                const bool bHandleLine(bIsLine && aLineTargetCallback);
+                const bool bHandleGap(!bIsLine && aGapTargetCallback);
+
+                if(bHandleLine)
+                {
+                    implHandleSnippet(aSnippet, aLineTargetCallback, aFirstLine, aLastLine);
+                }
+
+                if(bHandleGap)
+                {
+                    implHandleSnippet(aSnippet, aGapTargetCallback, aFirstGap, aLastGap);
+                }
+            }
+
+            if(bIsClosed && aLineTargetCallback)
+            {
+                implHandleFirstLast(aLineTargetCallback, aFirstLine, aLastLine);
+            }
+
+            if(bIsClosed && aGapTargetCallback)
+            {
+                implHandleFirstLast(aGapTargetCallback, aFirstGap, aLastGap);
+            }
+        }
+
+        // test if point is inside epsilon-range around an edge defined
+        // by the two given points. Can be used for HitTesting. The epsilon-range
+        // is defined to be the rectangle centered to the given edge, using height
+        // 2 x fDistance, and the circle around both points with radius fDistance.
+        bool isInEpsilonRange(const B2DPoint& rEdgeStart, const B2DPoint& rEdgeEnd, const B2DPoint& rTestPosition, double fDistance)
+        {
+            // build edge vector
+            const B2DVector aEdge(rEdgeEnd - rEdgeStart);
+            bool bDoDistanceTestStart(false);
+            bool bDoDistanceTestEnd(false);
+
+            if(aEdge.equalZero())
+            {
+                // no edge, just a point. Do one of the distance tests.
+                bDoDistanceTestStart = true;
+            }
+            else
+            {
+                // edge has a length. Create perpendicular vector.
+                const B2DVector aPerpend(getPerpendicular(aEdge));
+                double fCut(
+                    (aPerpend.getY() * (rTestPosition.getX() - rEdgeStart.getX())
+                    + aPerpend.getX() * (rEdgeStart.getY() - rTestPosition.getY())) /
+                    (aEdge.getX() * aEdge.getX() + aEdge.getY() * aEdge.getY()));
+                const double fZero(0.0);
+                const double fOne(1.0);
+
+                if(fTools::less(fCut, fZero))
+                {
+                    // left of rEdgeStart
+                    bDoDistanceTestStart = true;
+                }
+                else if(fTools::more(fCut, fOne))
+                {
+                    // right of rEdgeEnd
+                    bDoDistanceTestEnd = true;
+                }
+                else
+                {
+                    // inside line [0.0 .. 1.0]
+                    const B2DPoint aCutPoint(interpolate(rEdgeStart, rEdgeEnd, fCut));
+                    const B2DVector aDelta(rTestPosition - aCutPoint);
+                    const double fDistanceSquare(aDelta.scalar(aDelta));
+
+                    return fDistanceSquare <= fDistance * fDistance;
+                }
+            }
+
+            if(bDoDistanceTestStart)
+            {
+                const B2DVector aDelta(rTestPosition - rEdgeStart);
+                const double fDistanceSquare(aDelta.scalar(aDelta));
+
+                if(fDistanceSquare <= fDistance * fDistance)
+                {
+                    return true;
+                }
+            }
+            else if(bDoDistanceTestEnd)
+            {
+                const B2DVector aDelta(rTestPosition - rEdgeEnd);
+                const double fDistanceSquare(aDelta.scalar(aDelta));
+
+                if(fDistanceSquare <= fDistance * fDistance)
+                {
+                    return true;
+                }
+            }
+
+            return false;
+        }
+
+        // test if point is inside epsilon-range around the given Polygon. Can be used
+        // for HitTesting. The epsilon-range is defined to be the tube around the polygon
+        // with distance fDistance and rounded edges (start and end point).
+        bool isInEpsilonRange(const B2DPolygon& rCandidate, const B2DPoint& rTestPosition, double fDistance)
+        {
+            // force to non-bezier polygon
+            const B2DPolygon& aCandidate(rCandidate.getDefaultAdaptiveSubdivision());
+            const sal_uInt32 nPointCount(aCandidate.count());
+
+            if(!nPointCount)
+                return false;
+
+            const sal_uInt32 nEdgeCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1);
+            B2DPoint aCurrent(aCandidate.getB2DPoint(0));
+
+            if(nEdgeCount)
+            {
+                // edges
+                for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                {
+                    const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                    const B2DPoint aNext(aCandidate.getB2DPoint(nNextIndex));
+
+                    if(isInEpsilonRange(aCurrent, aNext, rTestPosition, fDistance))
+                    {
+                        return true;
+                    }
+
+                    // prepare next step
+                    aCurrent = aNext;
+                }
+            }
+            else
+            {
+                // no edges, but points -> not closed. Check single point. Just
+                // use isInEpsilonRange with twice the same point, it handles those well
+                if(isInEpsilonRange(aCurrent, aCurrent, rTestPosition, fDistance))
+                {
+                    return true;
+                }
+            }
+
+            return false;
+        }
+
+        // Calculates distance of curve point to its control point for a Bézier curve, that
+        // approximates a unit circle arc. fAngle is the center angle of the circle arc. The
+        // constrain 0<=fAngle<=pi/2 must not be violated to give a useful accuracy. For details
+        // and alternatives read document "ApproxCircleInfo.odt", attachment of bug tdf#121425.
+        static double impDistanceBezierPointToControl(double fAngle)
+        {
+            SAL_WARN_IF(fAngle < 0 || fAngle > M_PI_2,"basegfx","angle not suitable for approximate circle");
+            if (0 <= fAngle && fAngle <= M_PI_2)
+            {
+                return 4.0/3.0 * ( tan(fAngle/4.0));
+            }
+            else
+                return 0;
+        }
+
+        B2DPolygon createPolygonFromRect( const B2DRectangle& rRect, double fRadiusX, double fRadiusY )
+        {
+            const double fZero(0.0);
+            const double fOne(1.0);
+
+            fRadiusX = std::clamp(fRadiusX, 0.0, 1.0);
+            fRadiusY = std::clamp(fRadiusY, 0.0, 1.0);
+
+            if(rtl::math::approxEqual(fZero, fRadiusX) || rtl::math::approxEqual(fZero, fRadiusY))
+            {
+                // at least in one direction no radius, use rectangle.
+                // Do not use createPolygonFromRect() here since original
+                // creator (historical reasons) still creates a start point at the
+                // bottom center, so do the same here to get the same line patterns.
+                // Due to this the order of points is different, too.
+                const B2DPoint aBottomCenter(rRect.getCenter().getX(), rRect.getMaxY());
+                B2DPolygon aPolygon {
+                    aBottomCenter,
+                    { rRect.getMinX(), rRect.getMaxY() },
+                    { rRect.getMinX(), rRect.getMinY() },
+                    { rRect.getMaxX(), rRect.getMinY() },
+                    { rRect.getMaxX(), rRect.getMaxY() }
+                };
+
+                // close
+                aPolygon.setClosed( true );
+
+                return aPolygon;
+            }
+            else if(rtl::math::approxEqual(fOne, fRadiusX) && rtl::math::approxEqual(fOne, fRadiusY))
+            {
+                // in both directions full radius, use ellipse
+                const B2DPoint aCenter(rRect.getCenter());
+                const double fRectRadiusX(rRect.getWidth() / 2.0);
+                const double fRectRadiusY(rRect.getHeight() / 2.0);
+
+                return createPolygonFromEllipse( aCenter, fRectRadiusX, fRectRadiusY );
+            }
+            else
+            {
+                B2DPolygon aRetval;
+                const double fBowX((rRect.getWidth() / 2.0) * fRadiusX);
+                const double fBowY((rRect.getHeight() / 2.0) * fRadiusY);
+                const double fKappa(impDistanceBezierPointToControl(M_PI_2));
+
+                // create start point at bottom center
+                if(!rtl::math::approxEqual(fOne, fRadiusX))
+                {
+                    const B2DPoint aBottomCenter(rRect.getCenter().getX(), rRect.getMaxY());
+                    aRetval.append(aBottomCenter);
+                }
+
+                // create first bow
+                {
+                    const B2DPoint aBottomRight(rRect.getMaxX(), rRect.getMaxY());
+                    const B2DPoint aStart(aBottomRight + B2DPoint(-fBowX, 0.0));
+                    const B2DPoint aStop(aBottomRight + B2DPoint(0.0, -fBowY));
+                    aRetval.append(aStart);
+                    aRetval.appendBezierSegment(interpolate(aStart, aBottomRight, fKappa), interpolate(aStop, aBottomRight, fKappa), aStop);
+                }
+
+                // create second bow
+                {
+                    const B2DPoint aTopRight(rRect.getMaxX(), rRect.getMinY());
+                    const B2DPoint aStart(aTopRight + B2DPoint(0.0, fBowY));
+                    const B2DPoint aStop(aTopRight + B2DPoint(-fBowX, 0.0));
+                    aRetval.append(aStart);
+                    aRetval.appendBezierSegment(interpolate(aStart, aTopRight, fKappa), interpolate(aStop, aTopRight, fKappa), aStop);
+                }
+
+                // create third bow
+                {
+                    const B2DPoint aTopLeft(rRect.getMinX(), rRect.getMinY());
+                    const B2DPoint aStart(aTopLeft + B2DPoint(fBowX, 0.0));
+                    const B2DPoint aStop(aTopLeft + B2DPoint(0.0, fBowY));
+                    aRetval.append(aStart);
+                    aRetval.appendBezierSegment(interpolate(aStart, aTopLeft, fKappa), interpolate(aStop, aTopLeft, fKappa), aStop);
+                }
+
+                // create forth bow
+                {
+                    const B2DPoint aBottomLeft(rRect.getMinX(), rRect.getMaxY());
+                    const B2DPoint aStart(aBottomLeft + B2DPoint(0.0, -fBowY));
+                    const B2DPoint aStop(aBottomLeft + B2DPoint(fBowX, 0.0));
+                    aRetval.append(aStart);
+                    aRetval.appendBezierSegment(interpolate(aStart, aBottomLeft, fKappa), interpolate(aStop, aBottomLeft, fKappa), aStop);
+                }
+
+                // close
+                aRetval.setClosed( true );
+
+                // remove double created points if there are extreme radii involved
+                if(rtl::math::approxEqual(fOne, fRadiusX) || rtl::math::approxEqual(fOne, fRadiusY))
+                {
+                    aRetval.removeDoublePoints();
+                }
+
+                return aRetval;
+            }
+        }
+
+        B2DPolygon createPolygonFromRect( const B2DRectangle& rRect )
+        {
+            B2DPolygon aPolygon {
+                { rRect.getMinX(), rRect.getMinY() },
+                { rRect.getMaxX(), rRect.getMinY() },
+                { rRect.getMaxX(), rRect.getMaxY() },
+                { rRect.getMinX(), rRect.getMaxY() }
+            };
+
+            // close
+            aPolygon.setClosed( true );
+
+            return aPolygon;
+        }
+
+        B2DPolygon const & createUnitPolygon()
+        {
+            static auto const singleton = [] {
+                    B2DPolygon aPolygon {
+                        { 0.0, 0.0 },
+                        { 1.0, 0.0 },
+                        { 1.0, 1.0 },
+                        { 0.0, 1.0 }
+                    };
+
+                    // close
+                    aPolygon.setClosed( true );
+
+                    return aPolygon;
+            }();
+            return singleton;
+        }
+
+        B2DPolygon createPolygonFromCircle( const B2DPoint& rCenter, double fRadius )
+        {
+            return createPolygonFromEllipse( rCenter, fRadius, fRadius );
+        }
+
+        static B2DPolygon impCreateUnitCircle(sal_uInt32 nStartQuadrant)
+        {
+            B2DPolygon aUnitCircle;
+            const double fSegmentKappa = impDistanceBezierPointToControl(M_PI_2 / STEPSPERQUARTER);
+            const B2DHomMatrix aRotateMatrix(createRotateB2DHomMatrix(M_PI_2 / STEPSPERQUARTER));
+
+            B2DPoint aPoint(1.0, 0.0);
+            B2DPoint aForward(1.0, fSegmentKappa);
+            B2DPoint aBackward(1.0, -fSegmentKappa);
+
+            if(nStartQuadrant != 0)
+            {
+                const B2DHomMatrix aQuadrantMatrix(createRotateB2DHomMatrix(M_PI_2 * (nStartQuadrant % 4)));
+                aPoint *= aQuadrantMatrix;
+                aBackward *= aQuadrantMatrix;
+                aForward *= aQuadrantMatrix;
+            }
+
+            aUnitCircle.append(aPoint);
+
+            for(sal_uInt32 a(0); a < STEPSPERQUARTER * 4; a++)
+            {
+                aPoint *= aRotateMatrix;
+                aBackward *= aRotateMatrix;
+                aUnitCircle.appendBezierSegment(aForward, aBackward, aPoint);
+                aForward *= aRotateMatrix;
+            }
+
+            aUnitCircle.setClosed(true);
+            aUnitCircle.removeDoublePoints();
+
+            return aUnitCircle;
+        }
+
+        B2DPolygon const & createHalfUnitCircle()
+        {
+            static auto const singleton = [] {
+                    B2DPolygon aUnitHalfCircle;
+                    const double fSegmentKappa(impDistanceBezierPointToControl(M_PI_2 / STEPSPERQUARTER));
+                    const B2DHomMatrix aRotateMatrix(createRotateB2DHomMatrix(M_PI_2 / STEPSPERQUARTER));
+                    B2DPoint aPoint(1.0, 0.0);
+                    B2DPoint aForward(1.0, fSegmentKappa);
+                    B2DPoint aBackward(1.0, -fSegmentKappa);
+
+                    aUnitHalfCircle.append(aPoint);
+
+                    for(sal_uInt32 a(0); a < STEPSPERQUARTER * 2; a++)
+                    {
+                        aPoint *= aRotateMatrix;
+                        aBackward *= aRotateMatrix;
+                        aUnitHalfCircle.appendBezierSegment(aForward, aBackward, aPoint);
+                        aForward *= aRotateMatrix;
+                    }
+                    return aUnitHalfCircle;
+                }();
+            return singleton;
+        }
+
+        B2DPolygon const & createPolygonFromUnitCircle(sal_uInt32 nStartQuadrant)
+        {
+            switch(nStartQuadrant % 4)
+            {
+                case 1 :
+                    {
+                        static auto const singleton = impCreateUnitCircle(1);
+                        return singleton;
+                    }
+
+                case 2 :
+                    {
+                        static auto const singleton = impCreateUnitCircle(2);
+                        return singleton;
+                    }
+
+                case 3 :
+                    {
+                        static auto const singleton = impCreateUnitCircle(3);
+                        return singleton;
+                    }
+
+                default : // case 0 :
+                    {
+                        static auto const singleton = impCreateUnitCircle(0);
+                        return singleton;
+                    }
+            }
+        }
+
+        B2DPolygon createPolygonFromEllipse( const B2DPoint& rCenter, double fRadiusX, double fRadiusY, sal_uInt32 nStartQuadrant)
+        {
+            B2DPolygon aRetval(createPolygonFromUnitCircle(nStartQuadrant));
+            const B2DHomMatrix aMatrix(createScaleTranslateB2DHomMatrix(fRadiusX, fRadiusY, rCenter.getX(), rCenter.getY()));
+
+            aRetval.transform(aMatrix);
+
+            return aRetval;
+        }
+
+        B2DPolygon createPolygonFromUnitEllipseSegment( double fStart, double fEnd )
+        {
+            B2DPolygon aRetval;
+
+            // truncate fStart, fEnd to a range of [0.0 .. 2PI[ where 2PI
+            // falls back to 0.0 to ensure a unique definition
+            if(fTools::less(fStart, 0.0))
+            {
+                fStart = 0.0;
+            }
+
+            if(fTools::moreOrEqual(fStart, 2 * M_PI))
+            {
+                fStart = 0.0;
+            }
+
+            if(fTools::less(fEnd, 0.0))
+            {
+                fEnd = 0.0;
+            }
+
+            if(fTools::moreOrEqual(fEnd, 2 * M_PI))
+            {
+                fEnd = 0.0;
+            }
+
+            if(fTools::equal(fStart, fEnd))
+            {
+                // same start and end angle, add single point
+                aRetval.append(B2DPoint(cos(fStart), sin(fStart)));
+            }
+            else
+            {
+                const sal_uInt32 nSegments(STEPSPERQUARTER * 4);
+                const double fAnglePerSegment(M_PI_2 / STEPSPERQUARTER);
+                const sal_uInt32 nStartSegment(sal_uInt32(fStart / fAnglePerSegment) % nSegments);
+                const sal_uInt32 nEndSegment(sal_uInt32(fEnd / fAnglePerSegment) % nSegments);
+                const double fSegmentKappa(impDistanceBezierPointToControl(fAnglePerSegment));
+
+                B2DPoint aSegStart(cos(fStart), sin(fStart));
+                aRetval.append(aSegStart);
+
+                if(nStartSegment == nEndSegment && fTools::more(fEnd, fStart))
+                {
+                    // start and end in one sector and in the right order, create in one segment
+                    const B2DPoint aSegEnd(cos(fEnd), sin(fEnd));
+                    const double fFactor(impDistanceBezierPointToControl(fEnd - fStart));
+
+                    aRetval.appendBezierSegment(
+                        aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fFactor),
+                        aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fFactor),
+                        aSegEnd);
+                }
+                else
+                {
+                    double fSegEndRad((nStartSegment + 1) * fAnglePerSegment);
+                    double fFactor(impDistanceBezierPointToControl(fSegEndRad - fStart));
+                    B2DPoint aSegEnd(cos(fSegEndRad), sin(fSegEndRad));
+
+                    aRetval.appendBezierSegment(
+                        aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fFactor),
+                        aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fFactor),
+                        aSegEnd);
+
+                    sal_uInt32 nSegment((nStartSegment + 1) % nSegments);
+                    aSegStart = aSegEnd;
+
+                    while(nSegment != nEndSegment)
+                    {
+                        // No end in this sector, add full sector.
+                        fSegEndRad = (nSegment + 1) * fAnglePerSegment;
+                        aSegEnd = B2DPoint(cos(fSegEndRad), sin(fSegEndRad));
+
+                        aRetval.appendBezierSegment(
+                            aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fSegmentKappa),
+                            aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fSegmentKappa),
+                            aSegEnd);
+
+                        nSegment = (nSegment + 1) % nSegments;
+                        aSegStart = aSegEnd;
+                    }
+
+                    // End in this sector
+                    const double fSegStartRad(nSegment * fAnglePerSegment);
+                    fFactor= impDistanceBezierPointToControl(fEnd - fSegStartRad);
+                    aSegEnd = B2DPoint(cos(fEnd), sin(fEnd));
+
+                    aRetval.appendBezierSegment(
+                        aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fFactor),
+                        aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fFactor),
+                        aSegEnd);
+                }
+            }
+
+            // remove double points between segments created by segmented creation
+            aRetval.removeDoublePoints();
+
+            return aRetval;
+        }
+
+        B2DPolygon createPolygonFromEllipseSegment( const B2DPoint& rCenter, double fRadiusX, double fRadiusY, double fStart, double fEnd )
+        {
+            B2DPolygon aRetval(createPolygonFromUnitEllipseSegment(fStart, fEnd));
+            const B2DHomMatrix aMatrix(createScaleTranslateB2DHomMatrix(fRadiusX, fRadiusY, rCenter.getX(), rCenter.getY()));
+
+            aRetval.transform(aMatrix);
+
+            return aRetval;
+        }
+
+        bool hasNeutralPoints(const B2DPolygon& rCandidate)
+        {
+            OSL_ENSURE(!rCandidate.areControlPointsUsed(), "hasNeutralPoints: ATM works not for curves (!)");
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount <= 2)
+                return false;
+
+            B2DPoint aPrevPoint(rCandidate.getB2DPoint(nPointCount - 1));
+            B2DPoint aCurrPoint(rCandidate.getB2DPoint(0));
+
+            for(sal_uInt32 a(0); a < nPointCount; a++)
+            {
+                const B2DPoint aNextPoint(rCandidate.getB2DPoint((a + 1) % nPointCount));
+                const B2DVector aPrevVec(aPrevPoint - aCurrPoint);
+                const B2DVector aNextVec(aNextPoint - aCurrPoint);
+                const B2VectorOrientation aOrientation(getOrientation(aNextVec, aPrevVec));
+
+                if(aOrientation == B2VectorOrientation::Neutral)
+                {
+                    // current has neutral orientation
+                    return true;
+                }
+                else
+                {
+                    // prepare next
+                    aPrevPoint = aCurrPoint;
+                    aCurrPoint = aNextPoint;
+                }
+            }
+
+            return false;
+        }
+
+        B2DPolygon removeNeutralPoints(const B2DPolygon& rCandidate)
+        {
+            if(hasNeutralPoints(rCandidate))
+            {
+                const sal_uInt32 nPointCount(rCandidate.count());
+                B2DPolygon aRetval;
+                B2DPoint aPrevPoint(rCandidate.getB2DPoint(nPointCount - 1));
+                B2DPoint aCurrPoint(rCandidate.getB2DPoint(0));
+
+                for(sal_uInt32 a(0); a < nPointCount; a++)
+                {
+                    const B2DPoint aNextPoint(rCandidate.getB2DPoint((a + 1) % nPointCount));
+                    const B2DVector aPrevVec(aPrevPoint - aCurrPoint);
+                    const B2DVector aNextVec(aNextPoint - aCurrPoint);
+                    const B2VectorOrientation aOrientation(getOrientation(aNextVec, aPrevVec));
+
+                    if(aOrientation == B2VectorOrientation::Neutral)
+                    {
+                        // current has neutral orientation, leave it out and prepare next
+                        aCurrPoint = aNextPoint;
+                    }
+                    else
+                    {
+                        // add current point
+                        aRetval.append(aCurrPoint);
+
+                        // prepare next
+                        aPrevPoint = aCurrPoint;
+                        aCurrPoint = aNextPoint;
+                    }
+                }
+
+                while(aRetval.count() && getOrientationForIndex(aRetval, 0) == B2VectorOrientation::Neutral)
+                {
+                    aRetval.remove(0);
+                }
+
+                // copy closed state
+                aRetval.setClosed(rCandidate.isClosed());
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        bool isConvex(const B2DPolygon& rCandidate)
+        {
+            OSL_ENSURE(!rCandidate.areControlPointsUsed(), "isConvex: ATM works not for curves (!)");
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount <= 2)
+                return true;
+
+            const B2DPoint aPrevPoint(rCandidate.getB2DPoint(nPointCount - 1));
+            B2DPoint aCurrPoint(rCandidate.getB2DPoint(0));
+            B2DVector aCurrVec(aPrevPoint - aCurrPoint);
+            B2VectorOrientation aOrientation(B2VectorOrientation::Neutral);
+
+            for(sal_uInt32 a(0); a < nPointCount; a++)
+            {
+                const B2DPoint aNextPoint(rCandidate.getB2DPoint((a + 1) % nPointCount));
+                const B2DVector aNextVec(aNextPoint - aCurrPoint);
+                const B2VectorOrientation aCurrentOrientation(getOrientation(aNextVec, aCurrVec));
+
+                if(aOrientation == B2VectorOrientation::Neutral)
+                {
+                    // set start value, maybe neutral again
+                    aOrientation = aCurrentOrientation;
+                }
+                else
+                {
+                    if(aCurrentOrientation != B2VectorOrientation::Neutral && aCurrentOrientation != aOrientation)
+                    {
+                        // different orientations found, that's it
+                        return false;
+                    }
+                }
+
+                // prepare next
+                aCurrPoint = aNextPoint;
+                aCurrVec = -aNextVec;
+            }
+
+            return true;
+        }
+
+        B2VectorOrientation getOrientationForIndex(const B2DPolygon& rCandidate, sal_uInt32 nIndex)
+        {
+            OSL_ENSURE(nIndex < rCandidate.count(), "getOrientationForIndex: index out of range (!)");
+            const B2DPoint aPrev(rCandidate.getB2DPoint(getIndexOfPredecessor(nIndex, rCandidate)));
+            const B2DPoint aCurr(rCandidate.getB2DPoint(nIndex));
+            const B2DPoint aNext(rCandidate.getB2DPoint(getIndexOfSuccessor(nIndex, rCandidate)));
+            const B2DVector aBack(aPrev - aCurr);
+            const B2DVector aForw(aNext - aCurr);
+
+            return getOrientation(aForw, aBack);
+        }
+
+        bool isPointOnLine(const B2DPoint& rStart, const B2DPoint& rEnd, const B2DPoint& rCandidate, bool bWithPoints)
+        {
+            if(rCandidate.equal(rStart) || rCandidate.equal(rEnd))
+            {
+                // candidate is in epsilon around start or end -> inside
+                return bWithPoints;
+            }
+            else if(rStart.equal(rEnd))
+            {
+                // start and end are equal, but candidate is outside their epsilon -> outside
+                return false;
+            }
+            else
+            {
+                const B2DVector aEdgeVector(rEnd - rStart);
+                const B2DVector aTestVector(rCandidate - rStart);
+
+                if(areParallel(aEdgeVector, aTestVector))
+                {
+                    const double fZero(0.0);
+                    const double fOne(1.0);
+                    const double fParamTestOnCurr(fabs(aEdgeVector.getX()) > fabs(aEdgeVector.getY())
+                        ? aTestVector.getX() / aEdgeVector.getX()
+                        : aTestVector.getY() / aEdgeVector.getY());
+
+                    if(fTools::more(fParamTestOnCurr, fZero) && fTools::less(fParamTestOnCurr, fOne))
+                    {
+                        return true;
+                    }
+                }
+
+                return false;
+            }
+        }
+
+        bool isPointOnPolygon(const B2DPolygon& rCandidate, const B2DPoint& rPoint, bool bWithPoints)
+        {
+            const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate);
+            const sal_uInt32 nPointCount(aCandidate.count());
+
+            if(nPointCount > 1)
+            {
+                const sal_uInt32 nLoopCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                B2DPoint aCurrentPoint(aCandidate.getB2DPoint(0));
+
+                for(sal_uInt32 a(0); a < nLoopCount; a++)
+                {
+                    const B2DPoint aNextPoint(aCandidate.getB2DPoint((a + 1) % nPointCount));
+
+                    if(isPointOnLine(aCurrentPoint, aNextPoint, rPoint, bWithPoints))
+                    {
+                        return true;
+                    }
+
+                    aCurrentPoint = aNextPoint;
+                }
+            }
+            else if(nPointCount && bWithPoints)
+            {
+                return rPoint.equal(aCandidate.getB2DPoint(0));
+            }
+
+            return false;
+        }
+
+        bool isPointInTriangle(const B2DPoint& rA, const B2DPoint& rB, const B2DPoint& rC, const B2DPoint& rCandidate, bool bWithBorder)
+        {
+            if(arePointsOnSameSideOfLine(rA, rB, rC, rCandidate, bWithBorder))
+            {
+                if(arePointsOnSameSideOfLine(rB, rC, rA, rCandidate, bWithBorder))
+                {
+                    if(arePointsOnSameSideOfLine(rC, rA, rB, rCandidate, bWithBorder))
+                    {
+                        return true;
+                    }
+                }
+            }
+
+            return false;
+        }
+
+        bool arePointsOnSameSideOfLine(const B2DPoint& rStart, const B2DPoint& rEnd, const B2DPoint& rCandidateA, const B2DPoint& rCandidateB, bool bWithLine)
+        {
+            const B2DVector aLineVector(rEnd - rStart);
+            const B2DVector aVectorToA(rEnd - rCandidateA);
+            const double fCrossA(aLineVector.cross(aVectorToA));
+
+            // tdf#88352 increase numerical correctness and use rtl::math::approxEqual
+            // instead of fTools::equalZero which compares with a fixed small value
+            if(fCrossA == 0.0)
+            {
+                // one point on the line
+                return bWithLine;
+            }
+
+            const B2DVector aVectorToB(rEnd - rCandidateB);
+            const double fCrossB(aLineVector.cross(aVectorToB));
+
+            // increase numerical correctness
+            if(fCrossB == 0.0)
+            {
+                // one point on the line
+                return bWithLine;
+            }
+
+            // return true if they both have the same sign
+            return ((fCrossA > 0.0) == (fCrossB > 0.0));
+        }
+
+        void addTriangleFan(
+            const B2DPolygon& rCandidate,
+            triangulator::B2DTriangleVector& rTarget)
+        {
+            const sal_uInt32 nCount(rCandidate.count());
+
+            if(nCount <= 2)
+                return;
+
+            const B2DPoint aStart(rCandidate.getB2DPoint(0));
+            B2DPoint aLast(rCandidate.getB2DPoint(1));
+
+            for(sal_uInt32 a(2); a < nCount; a++)
+            {
+                const B2DPoint aCurrent(rCandidate.getB2DPoint(a));
+                rTarget.emplace_back(
+                    aStart,
+                    aLast,
+                    aCurrent);
+
+                // prepare next
+                aLast = aCurrent;
+            }
+        }
+
+        namespace
+        {
+            /// return 0 for input of 0, -1 for negative and 1 for positive input
+            int lcl_sgn( const double n )
+            {
+                return n == 0.0 ? 0 : 1 - 2*int(std::signbit(n));
+            }
+        }
+
+        bool isRectangle( const B2DPolygon& rPoly )
+        {
+            // polygon must be closed to resemble a rect, and contain
+            // at least four points.
+            if( !rPoly.isClosed() ||
+                rPoly.count() < 4 ||
+                rPoly.areControlPointsUsed() )
+            {
+                return false;
+            }
+
+            // number of 90 degree turns the polygon has taken
+            int nNumTurns(0);
+
+            int  nVerticalEdgeType=0;
+            int  nHorizontalEdgeType=0;
+            bool bNullVertex(true);
+            bool bCWPolygon(false);  // when true, polygon is CW
+                                     // oriented, when false, CCW
+            bool bOrientationSet(false); // when false, polygon
+                                         // orientation has not yet
+                                         // been determined.
+
+            // scan all _edges_ (which involves coming back to point 0
+            // for the last edge - thus the modulo operation below)
+            const sal_Int32 nCount( rPoly.count() );
+            for( sal_Int32 i=0; i<nCount; ++i )
+            {
+                const B2DPoint& rPoint0( rPoly.getB2DPoint(i % nCount) );
+                const B2DPoint& rPoint1( rPoly.getB2DPoint((i+1) % nCount) );
+
+                // is 0 for zero direction vector, 1 for south edge and -1
+                // for north edge (standard screen coordinate system)
+                int nCurrVerticalEdgeType( lcl_sgn( rPoint1.getY() - rPoint0.getY() ) );
+
+                // is 0 for zero direction vector, 1 for east edge and -1
+                // for west edge (standard screen coordinate system)
+                int nCurrHorizontalEdgeType( lcl_sgn(rPoint1.getX() - rPoint0.getX()) );
+
+                if( nCurrVerticalEdgeType && nCurrHorizontalEdgeType )
+                    return false; // oblique edge - for sure no rect
+
+                const bool bCurrNullVertex( !nCurrVerticalEdgeType && !nCurrHorizontalEdgeType );
+
+                // current vertex is equal to previous - just skip,
+                // until we have a real edge
+                if( bCurrNullVertex )
+                    continue;
+
+                // if previous edge has two identical points, because
+                // no previous edge direction was available, simply
+                // take this first non-null edge as the start
+                // direction. That's what will happen here, if
+                // bNullVertex is false
+                if( !bNullVertex )
+                {
+                    // 2D cross product - is 1 for CW and -1 for CCW turns
+                    const int nCrossProduct( nHorizontalEdgeType*nCurrVerticalEdgeType -
+                                             nVerticalEdgeType*nCurrHorizontalEdgeType );
+
+                    if( !nCrossProduct )
+                        continue; // no change in orientation -
+                                  // collinear edges - just go on
+
+                    // if polygon orientation is not set, we'll
+                    // determine it now
+                    if( !bOrientationSet )
+                    {
+                        bCWPolygon = nCrossProduct == 1;
+                        bOrientationSet = true;
+                    }
+                    else
+                    {
+                        // if current turn orientation is not equal
+                        // initial orientation, this is not a
+                        // rectangle (as rectangles have consistent
+                        // orientation).
+                        if( (nCrossProduct == 1) != bCWPolygon )
+                            return false;
+                    }
+
+                    ++nNumTurns;
+
+                    // More than four 90 degree turns are an
+                    // indication that this must not be a rectangle.
+                    if( nNumTurns > 4 )
+                        return false;
+                }
+
+                // store current state for the next turn
+                nVerticalEdgeType   = nCurrVerticalEdgeType;
+                nHorizontalEdgeType = nCurrHorizontalEdgeType;
+                bNullVertex         = false; // won't reach this line,
+                                             // if bCurrNullVertex is
+                                             // true - see above
+            }
+
+            return true;
+        }
+
+        B3DPolygon createB3DPolygonFromB2DPolygon(const B2DPolygon& rCandidate, double fZCoordinate)
+        {
+            if(rCandidate.areControlPointsUsed())
+            {
+                // call myself recursively with subdivided input
+                const B2DPolygon aCandidate(adaptiveSubdivideByAngle(rCandidate));
+                return createB3DPolygonFromB2DPolygon(aCandidate, fZCoordinate);
+            }
+            else
+            {
+                B3DPolygon aRetval;
+
+                for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+                {
+                    B2DPoint aPoint(rCandidate.getB2DPoint(a));
+                    aRetval.append(B3DPoint(aPoint.getX(), aPoint.getY(), fZCoordinate));
+                }
+
+                // copy closed state
+                aRetval.setClosed(rCandidate.isClosed());
+
+                return aRetval;
+            }
+        }
+
+        B2DPolygon createB2DPolygonFromB3DPolygon(const B3DPolygon& rCandidate, const B3DHomMatrix& rMat)
+        {
+            B2DPolygon aRetval;
+            const sal_uInt32 nCount(rCandidate.count());
+            const bool bIsIdentity(rMat.isIdentity());
+
+            for(sal_uInt32 a(0); a < nCount; a++)
+            {
+                B3DPoint aCandidate(rCandidate.getB3DPoint(a));
+
+                if(!bIsIdentity)
+                {
+                    aCandidate *= rMat;
+                }
+
+                aRetval.append(B2DPoint(aCandidate.getX(), aCandidate.getY()));
+            }
+
+            // copy closed state
+            aRetval.setClosed(rCandidate.isClosed());
+
+            return aRetval;
+        }
+
+        double getSmallestDistancePointToEdge(const B2DPoint& rPointA, const B2DPoint& rPointB, const B2DPoint& rTestPoint, double& rCut)
+        {
+            if(rPointA.equal(rPointB))
+            {
+                rCut = 0.0;
+                const B2DVector aVector(rTestPoint - rPointA);
+                return aVector.getLength();
+            }
+            else
+            {
+                // get the relative cut value on line vector (Vector1) for cut with perpendicular through TestPoint
+                const B2DVector aVector1(rPointB - rPointA);
+                const B2DVector aVector2(rTestPoint - rPointA);
+                const double fDividend((aVector2.getX() * aVector1.getX()) + (aVector2.getY() * aVector1.getY()));
+                const double fDivisor((aVector1.getX() * aVector1.getX()) + (aVector1.getY() * aVector1.getY()));
+                const double fCut(fDividend / fDivisor);
+
+                if(fCut < 0.0)
+                {
+                    // not in line range, get distance to PointA
+                    rCut = 0.0;
+                    return aVector2.getLength();
+                }
+                else if(fCut > 1.0)
+                {
+                    // not in line range, get distance to PointB
+                    rCut = 1.0;
+                    const B2DVector aVector(rTestPoint - rPointB);
+                    return aVector.getLength();
+                }
+                else
+                {
+                    // in line range
+                    const B2DPoint aCutPoint(rPointA + fCut * aVector1);
+                    const B2DVector aVector(rTestPoint - aCutPoint);
+                    rCut = fCut;
+                    return aVector.getLength();
+                }
+            }
+        }
+
+        double getSmallestDistancePointToPolygon(const B2DPolygon& rCandidate, const B2DPoint& rTestPoint, sal_uInt32& rEdgeIndex, double& rCut)
+        {
+            double fRetval(DBL_MAX);
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount > 1)
+            {
+                const double fZero(0.0);
+                const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                B2DCubicBezier aBezier;
+                aBezier.setStartPoint(rCandidate.getB2DPoint(0));
+
+                for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                {
+                    const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                    aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+                    double fEdgeDist;
+                    double fNewCut(0.0);
+                    bool bEdgeIsCurve(false);
+
+                    if(rCandidate.areControlPointsUsed())
+                    {
+                        aBezier.setControlPointA(rCandidate.getNextControlPoint(a));
+                        aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+                        aBezier.testAndSolveTrivialBezier();
+                        bEdgeIsCurve = aBezier.isBezier();
+                    }
+
+                    if(bEdgeIsCurve)
+                    {
+                        fEdgeDist = aBezier.getSmallestDistancePointToBezierSegment(rTestPoint, fNewCut);
+                    }
+                    else
+                    {
+                        fEdgeDist = getSmallestDistancePointToEdge(aBezier.getStartPoint(), aBezier.getEndPoint(), rTestPoint, fNewCut);
+                    }
+
+                    if(fRetval == DBL_MAX || fEdgeDist < fRetval)
+                    {
+                        fRetval = fEdgeDist;
+                        rEdgeIndex = a;
+                        rCut = fNewCut;
+
+                        if(fTools::equal(fRetval, fZero))
+                        {
+                            // already found zero distance, cannot get better. Ensure numerical zero value and end loop.
+                            fRetval = 0.0;
+                            break;
+                        }
+                    }
+
+                    // prepare next step
+                    aBezier.setStartPoint(aBezier.getEndPoint());
+                }
+
+                if(rtl::math::approxEqual(1.0, rCut))
+                {
+                    // correct rEdgeIndex when not last point
+                    if(rCandidate.isClosed())
+                    {
+                        rEdgeIndex = getIndexOfSuccessor(rEdgeIndex, rCandidate);
+                        rCut = 0.0;
+                    }
+                    else
+                    {
+                        if(rEdgeIndex != nEdgeCount - 1)
+                        {
+                            rEdgeIndex++;
+                            rCut = 0.0;
+                        }
+                    }
+                }
+            }
+
+            return fRetval;
+        }
+
+        B2DPoint distort(const B2DPoint& rCandidate, const B2DRange& rOriginal, const B2DPoint& rTopLeft, const B2DPoint& rTopRight, const B2DPoint& rBottomLeft, const B2DPoint& rBottomRight)
+        {
+            if(fTools::equalZero(rOriginal.getWidth()) || fTools::equalZero(rOriginal.getHeight()))
+            {
+                return rCandidate;
+            }
+            else
+            {
+                const double fRelativeX((rCandidate.getX() - rOriginal.getMinX()) / rOriginal.getWidth());
+                const double fRelativeY((rCandidate.getY() - rOriginal.getMinY()) / rOriginal.getHeight());
+                const double fOneMinusRelativeX(1.0 - fRelativeX);
+                const double fOneMinusRelativeY(1.0 - fRelativeY);
+                const double fNewX(fOneMinusRelativeY * (fOneMinusRelativeX * rTopLeft.getX() + fRelativeX * rTopRight.getX()) +
+                    fRelativeY * (fOneMinusRelativeX * rBottomLeft.getX() + fRelativeX * rBottomRight.getX()));
+                const double fNewY(fOneMinusRelativeX * (fOneMinusRelativeY * rTopLeft.getY() + fRelativeY * rBottomLeft.getY()) +
+                    fRelativeX * (fOneMinusRelativeY * rTopRight.getY() + fRelativeY * rBottomRight.getY()));
+
+                return B2DPoint(fNewX, fNewY);
+            }
+        }
+
+        B2DPolygon distort(const B2DPolygon& rCandidate, const B2DRange& rOriginal, const B2DPoint& rTopLeft, const B2DPoint& rTopRight, const B2DPoint& rBottomLeft, const B2DPoint& rBottomRight)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount && rOriginal.getWidth() != 0.0 && rOriginal.getHeight() != 0.0)
+            {
+                B2DPolygon aRetval;
+
+                for(sal_uInt32 a(0); a < nPointCount; a++)
+                {
+                    aRetval.append(distort(rCandidate.getB2DPoint(a), rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight));
+
+                    if(rCandidate.areControlPointsUsed())
+                    {
+                        if(!rCandidate.getPrevControlPoint(a).equalZero())
+                        {
+                            aRetval.setPrevControlPoint(a, distort(rCandidate.getPrevControlPoint(a), rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight));
+                        }
+
+                        if(!rCandidate.getNextControlPoint(a).equalZero())
+                        {
+                            aRetval.setNextControlPoint(a, distort(rCandidate.getNextControlPoint(a), rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight));
+                        }
+                    }
+                }
+
+                aRetval.setClosed(rCandidate.isClosed());
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DPolygon expandToCurve(const B2DPolygon& rCandidate)
+        {
+            B2DPolygon aRetval(rCandidate);
+
+            for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+            {
+                expandToCurveInPoint(aRetval, a);
+            }
+
+            return aRetval;
+        }
+
+        bool expandToCurveInPoint(B2DPolygon& rCandidate, sal_uInt32 nIndex)
+        {
+            OSL_ENSURE(nIndex < rCandidate.count(), "expandToCurveInPoint: Access to polygon out of range (!)");
+            bool bRetval(false);
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount)
+            {
+                // predecessor
+                if(!rCandidate.isPrevControlPointUsed(nIndex))
+                {
+                    if(!rCandidate.isClosed() && nIndex == 0)
+                    {
+                        // do not create previous vector for start point of open polygon
+                    }
+                    else
+                    {
+                        const sal_uInt32 nPrevIndex((nIndex + (nPointCount - 1)) % nPointCount);
+                        rCandidate.setPrevControlPoint(nIndex, interpolate(rCandidate.getB2DPoint(nIndex), rCandidate.getB2DPoint(nPrevIndex), 1.0 / 3.0));
+                        bRetval = true;
+                    }
+                }
+
+                // successor
+                if(!rCandidate.isNextControlPointUsed(nIndex))
+                {
+                    if(!rCandidate.isClosed() && nIndex + 1 == nPointCount)
+                    {
+                        // do not create next vector for end point of open polygon
+                    }
+                    else
+                    {
+                        const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+                        rCandidate.setNextControlPoint(nIndex, interpolate(rCandidate.getB2DPoint(nIndex), rCandidate.getB2DPoint(nNextIndex), 1.0 / 3.0));
+                        bRetval = true;
+                    }
+                }
+            }
+
+            return bRetval;
+        }
+
+        bool setContinuityInPoint(B2DPolygon& rCandidate, sal_uInt32 nIndex, B2VectorContinuity eContinuity)
+        {
+            OSL_ENSURE(nIndex < rCandidate.count(), "setContinuityInPoint: Access to polygon out of range (!)");
+            bool bRetval(false);
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount)
+            {
+                const B2DPoint aCurrentPoint(rCandidate.getB2DPoint(nIndex));
+
+                switch(eContinuity)
+                {
+                    case B2VectorContinuity::NONE :
+                    {
+                        if(rCandidate.isPrevControlPointUsed(nIndex))
+                        {
+                            if(!rCandidate.isClosed() && nIndex == 0)
+                            {
+                                // remove existing previous vector for start point of open polygon
+                                rCandidate.resetPrevControlPoint(nIndex);
+                            }
+                            else
+                            {
+                                const sal_uInt32 nPrevIndex((nIndex + (nPointCount - 1)) % nPointCount);
+                                rCandidate.setPrevControlPoint(nIndex, interpolate(aCurrentPoint, rCandidate.getB2DPoint(nPrevIndex), 1.0 / 3.0));
+                            }
+
+                            bRetval = true;
+                        }
+
+                        if(rCandidate.isNextControlPointUsed(nIndex))
+                        {
+                            if(!rCandidate.isClosed() && nIndex == nPointCount + 1)
+                            {
+                                // remove next vector for end point of open polygon
+                                rCandidate.resetNextControlPoint(nIndex);
+                            }
+                            else
+                            {
+                                const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+                                rCandidate.setNextControlPoint(nIndex, interpolate(aCurrentPoint, rCandidate.getB2DPoint(nNextIndex), 1.0 / 3.0));
+                            }
+
+                            bRetval = true;
+                        }
+
+                        break;
+                    }
+                    case B2VectorContinuity::C1 :
+                    {
+                        if(rCandidate.isPrevControlPointUsed(nIndex) && rCandidate.isNextControlPointUsed(nIndex))
+                        {
+                            // lengths both exist since both are used
+                            B2DVector aVectorPrev(rCandidate.getPrevControlPoint(nIndex) - aCurrentPoint);
+                            B2DVector aVectorNext(rCandidate.getNextControlPoint(nIndex) - aCurrentPoint);
+                            const double fLenPrev(aVectorPrev.getLength());
+                            const double fLenNext(aVectorNext.getLength());
+                            aVectorPrev.normalize();
+                            aVectorNext.normalize();
+                            const B2VectorOrientation aOrientation(getOrientation(aVectorPrev, aVectorNext));
+
+                            if(aOrientation == B2VectorOrientation::Neutral && aVectorPrev.scalar(aVectorNext) < 0.0)
+                            {
+                                // parallel and opposite direction; check length
+                                if(fTools::equal(fLenPrev, fLenNext))
+                                {
+                                    // this would be even C2, but we want C1. Use the lengths of the corresponding edges.
+                                    const sal_uInt32 nPrevIndex((nIndex + (nPointCount - 1)) % nPointCount);
+                                    const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+                                    const double fLenPrevEdge(B2DVector(rCandidate.getB2DPoint(nPrevIndex) - aCurrentPoint).getLength() * (1.0 / 3.0));
+                                    const double fLenNextEdge(B2DVector(rCandidate.getB2DPoint(nNextIndex) - aCurrentPoint).getLength() * (1.0 / 3.0));
+
+                                    rCandidate.setControlPoints(nIndex,
+                                        aCurrentPoint + (aVectorPrev * fLenPrevEdge),
+                                        aCurrentPoint + (aVectorNext * fLenNextEdge));
+                                    bRetval = true;
+                                }
+                            }
+                            else
+                            {
+                                // not parallel or same direction, set vectors and length
+                                const B2DVector aNormalizedPerpendicular(getNormalizedPerpendicular(aVectorPrev + aVectorNext));
+
+                                if(aOrientation == B2VectorOrientation::Positive)
+                                {
+                                    rCandidate.setControlPoints(nIndex,
+                                        aCurrentPoint - (aNormalizedPerpendicular * fLenPrev),
+                                        aCurrentPoint + (aNormalizedPerpendicular * fLenNext));
+                                }
+                                else
+                                {
+                                    rCandidate.setControlPoints(nIndex,
+                                        aCurrentPoint + (aNormalizedPerpendicular * fLenPrev),
+                                        aCurrentPoint - (aNormalizedPerpendicular * fLenNext));
+                                }
+
+                                bRetval = true;
+                            }
+                        }
+                        break;
+                    }
+                    case B2VectorContinuity::C2 :
+                    {
+                        if(rCandidate.isPrevControlPointUsed(nIndex) && rCandidate.isNextControlPointUsed(nIndex))
+                        {
+                            // lengths both exist since both are used
+                            B2DVector aVectorPrev(rCandidate.getPrevControlPoint(nIndex) - aCurrentPoint);
+                            B2DVector aVectorNext(rCandidate.getNextControlPoint(nIndex) - aCurrentPoint);
+                            const double fCommonLength((aVectorPrev.getLength() + aVectorNext.getLength()) / 2.0);
+                            aVectorPrev.normalize();
+                            aVectorNext.normalize();
+                            const B2VectorOrientation aOrientation(getOrientation(aVectorPrev, aVectorNext));
+
+                            if(aOrientation == B2VectorOrientation::Neutral && aVectorPrev.scalar(aVectorNext) < 0.0)
+                            {
+                                // parallel and opposite direction; set length. Use one direction for better numerical correctness
+                                const B2DVector aScaledDirection(aVectorPrev * fCommonLength);
+
+                                rCandidate.setControlPoints(nIndex,
+                                    aCurrentPoint + aScaledDirection,
+                                    aCurrentPoint - aScaledDirection);
+                            }
+                            else
+                            {
+                                // not parallel or same direction, set vectors and length
+                                const B2DVector aNormalizedPerpendicular(getNormalizedPerpendicular(aVectorPrev + aVectorNext));
+                                const B2DVector aPerpendicular(aNormalizedPerpendicular * fCommonLength);
+
+                                if(aOrientation == B2VectorOrientation::Positive)
+                                {
+                                    rCandidate.setControlPoints(nIndex,
+                                        aCurrentPoint - aPerpendicular,
+                                        aCurrentPoint + aPerpendicular);
+                                }
+                                else
+                                {
+                                    rCandidate.setControlPoints(nIndex,
+                                        aCurrentPoint + aPerpendicular,
+                                        aCurrentPoint - aPerpendicular);
+                                }
+                            }
+
+                            bRetval = true;
+                        }
+                        break;
+                    }
+                }
+            }
+
+            return bRetval;
+        }
+
+        B2DPolygon growInNormalDirection(const B2DPolygon& rCandidate, double fValue)
+        {
+            if(fValue != 0.0)
+            {
+                if(rCandidate.areControlPointsUsed())
+                {
+                    // call myself recursively with subdivided input
+                    const B2DPolygon aCandidate(adaptiveSubdivideByAngle(rCandidate));
+                    return growInNormalDirection(aCandidate, fValue);
+                }
+                else
+                {
+                    B2DPolygon aRetval;
+                    const sal_uInt32 nPointCount(rCandidate.count());
+
+                    if(nPointCount)
+                    {
+                        B2DPoint aPrev(rCandidate.getB2DPoint(nPointCount - 1));
+                        B2DPoint aCurrent(rCandidate.getB2DPoint(0));
+
+                        for(sal_uInt32 a(0); a < nPointCount; a++)
+                        {
+                            const B2DPoint aNext(rCandidate.getB2DPoint(a + 1 == nPointCount ? 0 : a + 1));
+                            const B2DVector aBack(aPrev - aCurrent);
+                            const B2DVector aForw(aNext - aCurrent);
+                            const B2DVector aPerpBack(getNormalizedPerpendicular(aBack));
+                            const B2DVector aPerpForw(getNormalizedPerpendicular(aForw));
+                            B2DVector aDirection(aPerpBack - aPerpForw);
+                            aDirection.normalize();
+                            aDirection *= fValue;
+                            aRetval.append(aCurrent + aDirection);
+
+                            // prepare next step
+                            aPrev = aCurrent;
+                            aCurrent = aNext;
+                        }
+                    }
+
+                    // copy closed state
+                    aRetval.setClosed(rCandidate.isClosed());
+
+                    return aRetval;
+                }
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DPolygon reSegmentPolygon(const B2DPolygon& rCandidate, sal_uInt32 nSegments)
+        {
+            B2DPolygon aRetval;
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount && nSegments)
+            {
+                // get current segment count
+                const sal_uInt32 nSegmentCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+
+                if(nSegmentCount == nSegments)
+                {
+                    aRetval = rCandidate;
+                }
+                else
+                {
+                    const double fLength(getLength(rCandidate));
+                    const sal_uInt32 nLoopCount(rCandidate.isClosed() ? nSegments : nSegments + 1);
+
+                    for(sal_uInt32 a(0); a < nLoopCount; a++)
+                    {
+                        const double fRelativePos(static_cast<double>(a) / static_cast<double>(nSegments)); // 0.0 .. 1.0
+                        const B2DPoint aNewPoint(getPositionRelative(rCandidate, fRelativePos, fLength));
+                        aRetval.append(aNewPoint);
+                    }
+
+                    // copy closed flag
+                    aRetval.setClosed(rCandidate.isClosed());
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DPolygon interpolate(const B2DPolygon& rOld1, const B2DPolygon& rOld2, double t)
+        {
+            OSL_ENSURE(rOld1.count() == rOld2.count(), "B2DPolygon interpolate: Different geometry (!)");
+
+            if(fTools::lessOrEqual(t, 0.0) || rOld1 == rOld2)
+            {
+                return rOld1;
+            }
+            else if(fTools::moreOrEqual(t, 1.0))
+            {
+                return rOld2;
+            }
+            else
+            {
+                B2DPolygon aRetval;
+                const bool bInterpolateVectors(rOld1.areControlPointsUsed() || rOld2.areControlPointsUsed());
+                aRetval.setClosed(rOld1.isClosed() && rOld2.isClosed());
+
+                for(sal_uInt32 a(0); a < rOld1.count(); a++)
+                {
+                    aRetval.append(interpolate(rOld1.getB2DPoint(a), rOld2.getB2DPoint(a), t));
+
+                    if(bInterpolateVectors)
+                    {
+                        aRetval.setPrevControlPoint(a, interpolate(rOld1.getPrevControlPoint(a), rOld2.getPrevControlPoint(a), t));
+                        aRetval.setNextControlPoint(a, interpolate(rOld1.getNextControlPoint(a), rOld2.getNextControlPoint(a), t));
+                    }
+                }
+
+                return aRetval;
+            }
+        }
+
+        // #i76891#
+        B2DPolygon simplifyCurveSegments(const B2DPolygon& rCandidate)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount && rCandidate.areControlPointsUsed())
+            {
+                // prepare loop
+                const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                B2DPolygon aRetval;
+                B2DCubicBezier aBezier;
+                aBezier.setStartPoint(rCandidate.getB2DPoint(0));
+
+                // try to avoid costly reallocations
+                aRetval.reserve( nEdgeCount+1);
+
+                // add start point
+                aRetval.append(aBezier.getStartPoint());
+
+                for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                {
+                    // get values for edge
+                    const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                    aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+                    aBezier.setControlPointA(rCandidate.getNextControlPoint(a));
+                    aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+                    aBezier.testAndSolveTrivialBezier();
+
+                    // still bezier?
+                    if(aBezier.isBezier())
+                    {
+                        // add edge with control vectors
+                        aRetval.appendBezierSegment(aBezier.getControlPointA(), aBezier.getControlPointB(), aBezier.getEndPoint());
+                    }
+                    else
+                    {
+                        // add edge
+                        aRetval.append(aBezier.getEndPoint());
+                    }
+
+                    // next point
+                    aBezier.setStartPoint(aBezier.getEndPoint());
+                }
+
+                if(rCandidate.isClosed())
+                {
+                    // set closed flag, rescue control point and correct last double point
+                    closeWithGeometryChange(aRetval);
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        // makes the given indexed point the new polygon start point. To do that, the points in the
+        // polygon will be rotated. This is only valid for closed polygons, for non-closed ones
+        // an assertion will be triggered
+        B2DPolygon makeStartPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndexOfNewStatPoint)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount > 2 && nIndexOfNewStatPoint != 0 && nIndexOfNewStatPoint < nPointCount)
+            {
+                OSL_ENSURE(rCandidate.isClosed(), "makeStartPoint: only valid for closed polygons (!)");
+                B2DPolygon aRetval;
+
+                for(sal_uInt32 a(0); a < nPointCount; a++)
+                {
+                    const sal_uInt32 nSourceIndex((a + nIndexOfNewStatPoint) % nPointCount);
+                    aRetval.append(rCandidate.getB2DPoint(nSourceIndex));
+
+                    if(rCandidate.areControlPointsUsed())
+                    {
+                        aRetval.setPrevControlPoint(a, rCandidate.getPrevControlPoint(nSourceIndex));
+                        aRetval.setNextControlPoint(a, rCandidate.getNextControlPoint(nSourceIndex));
+                    }
+                }
+
+                return aRetval;
+            }
+
+            return rCandidate;
+        }
+
+        B2DPolygon createEdgesOfGivenLength(const B2DPolygon& rCandidate, double fLength, double fStart, double fEnd)
+        {
+            B2DPolygon aRetval;
+
+            if(fLength < 0.0)
+            {
+                fLength = 0.0;
+            }
+
+            if(!fTools::equalZero(fLength))
+            {
+                if(fStart < 0.0)
+                {
+                    fStart = 0.0;
+                }
+
+                if(fEnd < 0.0)
+                {
+                    fEnd = 0.0;
+                }
+
+                if(fEnd < fStart)
+                {
+                    fEnd = fStart;
+                }
+
+                // iterate and consume pieces with fLength. First subdivide to reduce input to line segments
+                const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate);
+                const sal_uInt32 nPointCount(aCandidate.count());
+
+                if(nPointCount > 1)
+                {
+                    const bool bEndActive(!fTools::equalZero(fEnd));
+                    const sal_uInt32 nEdgeCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                    B2DPoint aCurrent(aCandidate.getB2DPoint(0));
+                    double fPositionInEdge(fStart);
+                    double fAbsolutePosition(fStart);
+
+                    for(sal_uInt32 a(0); a < nEdgeCount; a++)
+                    {
+                        const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                        const B2DPoint aNext(aCandidate.getB2DPoint(nNextIndex));
+                        const B2DVector aEdge(aNext - aCurrent);
+                        double fEdgeLength(aEdge.getLength());
+
+                        if(!fTools::equalZero(fEdgeLength))
+                        {
+                            while(fTools::less(fPositionInEdge, fEdgeLength))
+                            {
+                                // move position on edge forward as long as on edge
+                                const double fScalar(fPositionInEdge / fEdgeLength);
+                                aRetval.append(aCurrent + (aEdge * fScalar));
+                                fPositionInEdge += fLength;
+
+                                if(bEndActive)
+                                {
+                                    fAbsolutePosition += fLength;
+
+                                    if(fTools::more(fAbsolutePosition, fEnd))
+                                    {
+                                        break;
+                                    }
+                                }
+                            }
+
+                            // subtract length of current edge
+                            fPositionInEdge -= fEdgeLength;
+                        }
+
+                        if(bEndActive && fTools::more(fAbsolutePosition, fEnd))
+                        {
+                            break;
+                        }
+
+                        // prepare next step
+                        aCurrent = aNext;
+                    }
+
+                    // keep closed state
+                    aRetval.setClosed(aCandidate.isClosed());
+                }
+                else
+                {
+                    // source polygon has only one point, return unchanged
+                    aRetval = aCandidate;
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DPolygon createWaveline(const B2DPolygon& rCandidate, double fWaveWidth, double fWaveHeight)
+        {
+            B2DPolygon aRetval;
+
+            if(fWaveWidth < 0.0)
+            {
+                fWaveWidth = 0.0;
+            }
+
+            if(fWaveHeight < 0.0)
+            {
+                fWaveHeight = 0.0;
+            }
+
+            const bool bHasWidth(!fTools::equalZero(fWaveWidth));
+
+            if(bHasWidth)
+            {
+                const bool bHasHeight(!fTools::equalZero(fWaveHeight));
+                if(bHasHeight)
+                {
+                    // width and height, create waveline. First subdivide to reduce input to line segments
+                    // of WaveWidth. Last segment may be missing. If this turns out to be a problem, it
+                    // may be added here again using the original last point from rCandidate. It may
+                    // also be the case that rCandidate was closed. To simplify things it is handled here
+                    // as if it was opened.
+                    // Result from createEdgesOfGivenLength contains no curved segments, handle as straight
+                    // edges.
+                    const B2DPolygon aEqualLenghEdges(createEdgesOfGivenLength(rCandidate, fWaveWidth));
+                    const sal_uInt32 nPointCount(aEqualLenghEdges.count());
+
+                    if(nPointCount > 1)
+                    {
+                        // iterate over straight edges, add start point
+                        B2DPoint aCurrent(aEqualLenghEdges.getB2DPoint(0));
+                        aRetval.append(aCurrent);
+
+                        for(sal_uInt32 a(0); a < nPointCount - 1; a++)
+                        {
+                            const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                            const B2DPoint aNext(aEqualLenghEdges.getB2DPoint(nNextIndex));
+                            const B2DVector aEdge(aNext - aCurrent);
+                            const B2DVector aPerpendicular(getNormalizedPerpendicular(aEdge));
+                            const B2DVector aControlOffset((aEdge * 0.467308) - (aPerpendicular * fWaveHeight));
+
+                            // add curve segment
+                            aRetval.appendBezierSegment(
+                                aCurrent + aControlOffset,
+                                aNext - aControlOffset,
+                                aNext);
+
+                            // prepare next step
+                            aCurrent = aNext;
+                        }
+                    }
+                }
+                else
+                {
+                    // width but no height -> return original polygon
+                    aRetval = rCandidate;
+                }
+            }
+            else
+            {
+                // no width -> no waveline, stay empty and return
+            }
+
+            return aRetval;
+        }
+
+        // snap points of horizontal or vertical edges to discrete values
+        B2DPolygon snapPointsOfHorizontalOrVerticalEdges(const B2DPolygon& rCandidate)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount > 1)
+            {
+                // Start by copying the source polygon to get a writeable copy. The closed state is
+                // copied by aRetval's initialisation, too, so no need to copy it in this method
+                B2DPolygon aRetval(rCandidate);
+
+                // prepare geometry data. Get rounded from original
+                B2ITuple aPrevTuple(basegfx::fround(rCandidate.getB2DPoint(nPointCount - 1)));
+                B2DPoint aCurrPoint(rCandidate.getB2DPoint(0));
+                B2ITuple aCurrTuple(basegfx::fround(aCurrPoint));
+
+                // loop over all points. This will also snap the implicit closing edge
+                // even when not closed, but that's no problem here
+                for(sal_uInt32 a(0); a < nPointCount; a++)
+                {
+                    // get next point. Get rounded from original
+                    const bool bLastRun(a + 1 == nPointCount);
+                    const sal_uInt32 nNextIndex(bLastRun ? 0 : a + 1);
+                    const B2DPoint aNextPoint(rCandidate.getB2DPoint(nNextIndex));
+                    const B2ITuple aNextTuple(basegfx::fround(aNextPoint));
+
+                    // get the states
+                    const bool bPrevVertical(aPrevTuple.getX() == aCurrTuple.getX());
+                    const bool bNextVertical(aNextTuple.getX() == aCurrTuple.getX());
+                    const bool bPrevHorizontal(aPrevTuple.getY() == aCurrTuple.getY());
+                    const bool bNextHorizontal(aNextTuple.getY() == aCurrTuple.getY());
+                    const bool bSnapX(bPrevVertical || bNextVertical);
+                    const bool bSnapY(bPrevHorizontal || bNextHorizontal);
+
+                    if(bSnapX || bSnapY)
+                    {
+                        const B2DPoint aSnappedPoint(
+                            bSnapX ? aCurrTuple.getX() : aCurrPoint.getX(),
+                            bSnapY ? aCurrTuple.getY() : aCurrPoint.getY());
+
+                        aRetval.setB2DPoint(a, aSnappedPoint);
+                    }
+
+                    // prepare next point
+                    if(!bLastRun)
+                    {
+                        aPrevTuple = aCurrTuple;
+                        aCurrPoint = aNextPoint;
+                        aCurrTuple = aNextTuple;
+                    }
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DVector getTangentEnteringPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndex)
+        {
+            B2DVector aRetval(0.0, 0.0);
+            const sal_uInt32 nCount(rCandidate.count());
+
+            if(nIndex >= nCount)
+            {
+                // out of range
+                return aRetval;
+            }
+
+            // start immediately at prev point compared to nIndex
+            const bool bClosed(rCandidate.isClosed());
+            sal_uInt32 nPrev(bClosed ? (nIndex + nCount - 1) % nCount : nIndex ? nIndex - 1 : nIndex);
+
+            if(nPrev == nIndex)
+            {
+                // no previous, done
+                return aRetval;
+            }
+
+            B2DCubicBezier aSegment;
+
+            // go backward in the polygon; if closed, maximal back to start index (nIndex); if not closed,
+            // until zero. Use nIndex as stop criteria
+            while(nPrev != nIndex)
+            {
+                // get BezierSegment and tangent at the *end* of segment
+                rCandidate.getBezierSegment(nPrev, aSegment);
+                aRetval = aSegment.getTangent(1.0);
+
+                if(!aRetval.equalZero())
+                {
+                    // if we have a tangent, return it
+                    return aRetval;
+                }
+
+                // prepare index before checked one
+                nPrev = bClosed ? (nPrev + nCount - 1) % nCount : nPrev ? nPrev - 1 : nIndex;
+            }
+
+            return aRetval;
+        }
+
+        B2DVector getTangentLeavingPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndex)
+        {
+            B2DVector aRetval(0.0, 0.0);
+            const sal_uInt32 nCount(rCandidate.count());
+
+            if(nIndex >= nCount)
+            {
+                // out of range
+                return aRetval;
+            }
+
+            // start at nIndex
+            const bool bClosed(rCandidate.isClosed());
+            sal_uInt32 nCurrent(nIndex);
+            B2DCubicBezier aSegment;
+
+            // go forward; if closed, do this until once around and back at start index (nIndex); if not
+            // closed, until last point (nCount - 1). Use nIndex as stop criteria
+            do
+            {
+                // get BezierSegment and tangent at the *beginning* of segment
+                rCandidate.getBezierSegment(nCurrent, aSegment);
+                aRetval = aSegment.getTangent(0.0);
+
+                if(!aRetval.equalZero())
+                {
+                    // if we have a tangent, return it
+                    return aRetval;
+                }
+
+                // prepare next index
+                nCurrent = bClosed ? (nCurrent + 1) % nCount : nCurrent + 1 < nCount ? nCurrent + 1 : nIndex;
+            }
+            while(nCurrent != nIndex);
+
+            return aRetval;
+        }
+
+        // converters for css::drawing::PointSequence
+
+        B2DPolygon UnoPointSequenceToB2DPolygon(
+            const css::drawing::PointSequence& rPointSequenceSource)
+        {
+            B2DPolygon aRetval;
+            const sal_uInt32 nLength(rPointSequenceSource.getLength());
+
+            if(nLength)
+            {
+                aRetval.reserve(nLength);
+                const css::awt::Point* pArray = rPointSequenceSource.getConstArray();
+                const css::awt::Point* pArrayEnd = pArray + rPointSequenceSource.getLength();
+
+                for(;pArray != pArrayEnd; pArray++)
+                {
+                    aRetval.append(B2DPoint(pArray->X, pArray->Y));
+                }
+
+                // check for closed state flag
+                utils::checkClosed(aRetval);
+            }
+
+            return aRetval;
+        }
+
+        void B2DPolygonToUnoPointSequence(
+            const B2DPolygon& rPolygon,
+            css::drawing::PointSequence& rPointSequenceRetval)
+        {
+            B2DPolygon aPolygon(rPolygon);
+
+            if(aPolygon.areControlPointsUsed())
+            {
+                OSL_ENSURE(false, "B2DPolygonToUnoPointSequence: Source contains bezier segments, wrong UNO API data type may be used (!)");
+                aPolygon = aPolygon.getDefaultAdaptiveSubdivision();
+            }
+
+            const sal_uInt32 nPointCount(aPolygon.count());
+
+            if(nPointCount)
+            {
+                // Take closed state into account, the API polygon still uses the old closed definition
+                // with last/first point are identical (cannot hold information about open polygons with identical
+                // first and last point, though)
+                const bool bIsClosed(aPolygon.isClosed());
+
+                rPointSequenceRetval.realloc(bIsClosed ? nPointCount + 1 : nPointCount);
+                css::awt::Point* pSequence = rPointSequenceRetval.getArray();
+
+                for(sal_uInt32 b(0); b < nPointCount; b++)
+                {
+                    const B2DPoint aPoint(aPolygon.getB2DPoint(b));
+                    const css::awt::Point aAPIPoint(fround(aPoint.getX()), fround(aPoint.getY()));
+
+                    *pSequence = aAPIPoint;
+                    pSequence++;
+                }
+
+                // copy first point if closed
+                if(bIsClosed)
+                {
+                    *pSequence = *rPointSequenceRetval.getConstArray();
+                }
+            }
+            else
+            {
+                rPointSequenceRetval.realloc(0);
+            }
+        }
+
+        // converters for css::drawing::PointSequence and
+        // css::drawing::FlagSequence to B2DPolygon (curved polygons)
+
+        B2DPolygon UnoPolygonBezierCoordsToB2DPolygon(
+            const css::drawing::PointSequence& rPointSequenceSource,
+            const css::drawing::FlagSequence& rFlagSequenceSource)
+        {
+            const sal_uInt32 nCount(static_cast<sal_uInt32>(rPointSequenceSource.getLength()));
+            OSL_ENSURE(nCount == static_cast<sal_uInt32>(rFlagSequenceSource.getLength()),
+                "UnoPolygonBezierCoordsToB2DPolygon: Unequal count of Points and Flags (!)");
+
+            // prepare new polygon
+            B2DPolygon aRetval;
+
+            if(0 != nCount)
+            {
+                const css::awt::Point* pPointSequence = rPointSequenceSource.getConstArray();
+                const css::drawing::PolygonFlags* pFlagSequence = rFlagSequenceSource.getConstArray();
+
+                // get first point and flag
+                B2DPoint aNewCoordinatePair(pPointSequence->X, pPointSequence->Y); pPointSequence++;
+                css::drawing::PolygonFlags ePolygonFlag(*pFlagSequence); pFlagSequence++;
+                B2DPoint aControlA;
+                B2DPoint aControlB;
+
+                // first point is not allowed to be a control point
+                OSL_ENSURE(ePolygonFlag != css::drawing::PolygonFlags_CONTROL,
+                    "UnoPolygonBezierCoordsToB2DPolygon: Start point is a control point, illegal input polygon (!)");
+
+                // add first point as start point
+                aRetval.append(aNewCoordinatePair);
+
+                for(sal_uInt32 b(1); b < nCount;)
+                {
+                    // prepare loop
+                    bool bControlA(false);
+                    bool bControlB(false);
+
+                    // get next point and flag
+                    aNewCoordinatePair = B2DPoint(pPointSequence->X, pPointSequence->Y);
+                    ePolygonFlag = *pFlagSequence;
+                    pPointSequence++; pFlagSequence++; b++;
+
+                    if(b < nCount && ePolygonFlag == css::drawing::PolygonFlags_CONTROL)
+                    {
+                        aControlA = aNewCoordinatePair;
+                        bControlA = true;
+
+                        // get next point and flag
+                        aNewCoordinatePair = B2DPoint(pPointSequence->X, pPointSequence->Y);
+                        ePolygonFlag = *pFlagSequence;
+                        pPointSequence++; pFlagSequence++; b++;
+                    }
+
+                    if(b < nCount && ePolygonFlag == css::drawing::PolygonFlags_CONTROL)
+                    {
+                        aControlB = aNewCoordinatePair;
+                        bControlB = true;
+
+                        // get next point and flag
+                        aNewCoordinatePair = B2DPoint(pPointSequence->X, pPointSequence->Y);
+                        ePolygonFlag = *pFlagSequence;
+                        pPointSequence++; pFlagSequence++; b++;
+                    }
+
+                    // two or no control points are consumed, another one would be an error.
+                    // It's also an error if only one control point was read
+                    SAL_WARN_IF(ePolygonFlag == css::drawing::PolygonFlags_CONTROL || bControlA != bControlB,
+                        "basegfx", "UnoPolygonBezierCoordsToB2DPolygon: Illegal source polygon (!)");
+
+                    // the previous writes used the B2DPolyPolygon -> utils::PolyPolygon converter
+                    // which did not create minimal PolyPolygons, but created all control points
+                    // as null vectors (identical points). Because of the former P(CA)(CB)-norm of
+                    // B2DPolygon and it's unused sign of being the zero-vector and CA and CB being
+                    // relative to P, an empty edge was exported as P == CA == CB. Luckily, the new
+                    // export format can be read without errors by the old OOo-versions, so we need only
+                    // to correct here at read and do not need to export a wrong but compatible version
+                    // for the future.
+                    if(bControlA
+                        && aControlA.equal(aControlB)
+                        && aControlA.equal(aRetval.getB2DPoint(aRetval.count() - 1)))
+                    {
+                        bControlA = false;
+                    }
+
+                    if(bControlA)
+                    {
+                        // add bezier edge
+                        aRetval.appendBezierSegment(aControlA, aControlB, aNewCoordinatePair);
+                    }
+                    else
+                    {
+                        // add edge
+                        aRetval.append(aNewCoordinatePair);
+                    }
+                }
+
+                // #i72807# API import uses old line start/end-equal definition for closed,
+                // so we need to correct this to closed state here
+                checkClosed(aRetval);
+            }
+
+            return aRetval;
+        }
+
+        void B2DPolygonToUnoPolygonBezierCoords(
+            const B2DPolygon& rPolygon,
+            css::drawing::PointSequence& rPointSequenceRetval,
+            css::drawing::FlagSequence& rFlagSequenceRetval)
+        {
+            const sal_uInt32 nPointCount(rPolygon.count());
+
+            if(nPointCount)
+            {
+                const bool bCurve(rPolygon.areControlPointsUsed());
+                const bool bClosed(rPolygon.isClosed());
+
+                if(bCurve)
+                {
+                    // calculate target point count
+                    const sal_uInt32 nLoopCount(bClosed ? nPointCount : nPointCount - 1);
+
+                    if(nLoopCount)
+                    {
+                        // prepare target data. The real needed number of target points (and flags)
+                        // could only be calculated by using two loops, so use dynamic memory
+                        std::vector< css::awt::Point > aCollectPoints;
+                        std::vector< css::drawing::PolygonFlags > aCollectFlags;
+
+                        // reserve maximum creatable points
+                        const sal_uInt32 nMaxTargetCount((nLoopCount * 3) + 1);
+                        aCollectPoints.reserve(nMaxTargetCount);
+                        aCollectFlags.reserve(nMaxTargetCount);
+
+                        // prepare current bezier segment by setting start point
+                        B2DCubicBezier aBezierSegment;
+                        aBezierSegment.setStartPoint(rPolygon.getB2DPoint(0));
+
+                        for(sal_uInt32 a(0); a < nLoopCount; a++)
+                        {
+                            // add current point (always) and remember StartPointIndex for evtl. later corrections
+                            const sal_uInt32 nStartPointIndex(aCollectPoints.size());
+                            aCollectPoints.emplace_back(
+                                    fround(aBezierSegment.getStartPoint().getX()),
+                                    fround(aBezierSegment.getStartPoint().getY()));
+                            aCollectFlags.push_back(css::drawing::PolygonFlags_NORMAL);
+
+                            // prepare next segment
+                            const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                            aBezierSegment.setEndPoint(rPolygon.getB2DPoint(nNextIndex));
+                            aBezierSegment.setControlPointA(rPolygon.getNextControlPoint(a));
+                            aBezierSegment.setControlPointB(rPolygon.getPrevControlPoint(nNextIndex));
+
+                            if(aBezierSegment.isBezier())
+                            {
+                                // if bezier is used, add always two control points due to the old schema
+                                aCollectPoints.emplace_back(
+                                        fround(aBezierSegment.getControlPointA().getX()),
+                                        fround(aBezierSegment.getControlPointA().getY()));
+                                aCollectFlags.push_back(css::drawing::PolygonFlags_CONTROL);
+
+                                aCollectPoints.emplace_back(
+                                        fround(aBezierSegment.getControlPointB().getX()),
+                                        fround(aBezierSegment.getControlPointB().getY()));
+                                aCollectFlags.push_back(css::drawing::PolygonFlags_CONTROL);
+                            }
+
+                            // test continuity with previous control point to set flag value
+                            if(aBezierSegment.getControlPointA() != aBezierSegment.getStartPoint() && (bClosed || a))
+                            {
+                                const B2VectorContinuity eCont(rPolygon.getContinuityInPoint(a));
+
+                                if(eCont == B2VectorContinuity::C1)
+                                {
+                                    aCollectFlags[nStartPointIndex] = css::drawing::PolygonFlags_SMOOTH;
+                                }
+                                else if(eCont == B2VectorContinuity::C2)
+                                {
+                                    aCollectFlags[nStartPointIndex] = css::drawing::PolygonFlags_SYMMETRIC;
+                                }
+                            }
+
+                            // prepare next loop
+                            aBezierSegment.setStartPoint(aBezierSegment.getEndPoint());
+                        }
+
+                        if(bClosed)
+                        {
+                            // add first point again as closing point due to old definition
+                            aCollectPoints.push_back(aCollectPoints[0]);
+                            aCollectFlags.push_back(css::drawing::PolygonFlags_NORMAL);
+                        }
+                        else
+                        {
+                            // add last point as closing point
+                            const B2DPoint aClosingPoint(rPolygon.getB2DPoint(nPointCount - 1));
+                            aCollectPoints.emplace_back(
+                                    fround(aClosingPoint.getX()),
+                                    fround(aClosingPoint.getY()));
+                            aCollectFlags.push_back(css::drawing::PolygonFlags_NORMAL);
+                        }
+
+                        // copy collected data to target arrays
+                        const sal_uInt32 nTargetCount(aCollectPoints.size());
+                        OSL_ENSURE(nTargetCount == aCollectFlags.size(), "Unequal Point and Flag count (!)");
+
+                        rPointSequenceRetval.realloc(static_cast<sal_Int32>(nTargetCount));
+                        rFlagSequenceRetval.realloc(static_cast<sal_Int32>(nTargetCount));
+                        css::awt::Point* pPointSequence = rPointSequenceRetval.getArray();
+                        css::drawing::PolygonFlags* pFlagSequence = rFlagSequenceRetval.getArray();
+
+                        for(sal_uInt32 a(0); a < nTargetCount; a++)
+                        {
+                            *pPointSequence = aCollectPoints[a];
+                            *pFlagSequence = aCollectFlags[a];
+                            pPointSequence++;
+                            pFlagSequence++;
+                        }
+                    }
+                }
+                else
+                {
+                    // straightforward point list creation
+                    const sal_uInt32 nTargetCount(nPointCount + (bClosed ? 1 : 0));
+
+                    rPointSequenceRetval.realloc(static_cast<sal_Int32>(nTargetCount));
+                    rFlagSequenceRetval.realloc(static_cast<sal_Int32>(nTargetCount));
+
+                    css::awt::Point* pPointSequence = rPointSequenceRetval.getArray();
+                    css::drawing::PolygonFlags* pFlagSequence = rFlagSequenceRetval.getArray();
+
+                    for(sal_uInt32 a(0); a < nPointCount; a++)
+                    {
+                        const B2DPoint aB2DPoint(rPolygon.getB2DPoint(a));
+                        const css::awt::Point aAPIPoint(
+                            fround(aB2DPoint.getX()),
+                            fround(aB2DPoint.getY()));
+
+                        *pPointSequence = aAPIPoint;
+                        *pFlagSequence = css::drawing::PolygonFlags_NORMAL;
+                        pPointSequence++;
+                        pFlagSequence++;
+                    }
+
+                    if(bClosed)
+                    {
+                        // add first point as closing point
+                        *pPointSequence = *rPointSequenceRetval.getConstArray();
+                        *pFlagSequence = css::drawing::PolygonFlags_NORMAL;
+                    }
+                }
+            }
+            else
+            {
+                rPointSequenceRetval.realloc(0);
+                rFlagSequenceRetval.realloc(0);
+            }
+        }
+
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dpolygontriangulator.cxx b/basegfx/source/polygon/b2dpolygontriangulator.cxx
new file mode 100644
index 000000000..5fbd3960e
--- /dev/null
+++ b/basegfx/source/polygon/b2dpolygontriangulator.cxx
@@ -0,0 +1,435 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <basegfx/polygon/b2dpolygontriangulator.hxx>
+#include <basegfx/point/b2dpoint.hxx>
+#include <basegfx/polygon/b2dpolygon.hxx>
+#include <basegfx/polygon/b2dpolypolygon.hxx>
+#include <basegfx/vector/b2dvector.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <basegfx/polygon/b2dpolypolygontools.hxx>
+#include <basegfx/range/b2drange.hxx>
+#include <basegfx/numeric/ftools.hxx>
+
+#include <algorithm>
+
+namespace basegfx
+{
+    namespace
+    {
+        class EdgeEntry
+        {
+            EdgeEntry*                              mpNext;
+            B2DPoint                                maStart;
+            B2DPoint                                maEnd;
+            double                                  mfAtan2;
+
+        public:
+            EdgeEntry(const B2DPoint& rStart, const B2DPoint& rEnd)
+            :   mpNext(nullptr),
+                maStart(rStart),
+                maEnd(rEnd),
+                mfAtan2(0.0)
+            {
+                // make sure edge goes down. If horizontal, let it go to the right (left-handed).
+                bool bSwap(false);
+
+                if(::basegfx::fTools::equal(maStart.getY(), maEnd.getY()))
+                {
+                    if(maStart.getX() > maEnd.getX())
+                    {
+                        bSwap = true;
+                    }
+                }
+                else if(maStart.getY() > maEnd.getY())
+                {
+                    bSwap = true;
+                }
+
+                if(bSwap)
+                {
+                    maStart = rEnd;
+                    maEnd = rStart;
+                }
+
+                mfAtan2 = atan2(maEnd.getY() - maStart.getY(), maEnd.getX() - maStart.getX());
+            }
+
+            bool operator<(const EdgeEntry& rComp) const
+            {
+                if(::basegfx::fTools::equal(maStart.getY(), rComp.maStart.getY()))
+                {
+                    if(::basegfx::fTools::equal(maStart.getX(), rComp.maStart.getX()))
+                    {
+                        // same in x and y -> same start point. Sort emitting vectors from left to right.
+                        return (mfAtan2 > rComp.mfAtan2);
+                    }
+
+                    return (maStart.getX() < rComp.maStart.getX());
+                }
+
+                return (maStart.getY() < rComp.maStart.getY());
+            }
+
+            bool operator==(const EdgeEntry& rComp) const
+            {
+                return (maStart.equal(rComp.maStart) && maEnd.equal(rComp.maEnd));
+            }
+
+            bool operator!=(const EdgeEntry& rComp) const
+            {
+                return !(*this == rComp);
+            }
+
+            const B2DPoint& getStart() const { return maStart; }
+            const B2DPoint& getEnd() const { return maEnd; }
+
+            EdgeEntry* getNext() const { return mpNext; }
+            void setNext(EdgeEntry* pNext) { mpNext = pNext; }
+        };
+
+        typedef std::vector< EdgeEntry > EdgeEntries;
+
+        class Triangulator
+        {
+            EdgeEntry*                                      mpList;
+            EdgeEntries                                     maStartEntries;
+            std::vector< std::unique_ptr<EdgeEntry> >       maNewEdgeEntries;
+            triangulator::B2DTriangleVector                 maResult;
+
+            void handleClosingEdge(const B2DPoint& rStart, const B2DPoint& rEnd);
+            bool CheckPointInTriangle(EdgeEntry* pEdgeA, EdgeEntry const * pEdgeB, const B2DPoint& rTestPoint);
+            void createTriangle(const B2DPoint& rA, const B2DPoint& rB, const B2DPoint& rC);
+
+        public:
+            explicit Triangulator(const B2DPolyPolygon& rCandidate);
+
+            const triangulator::B2DTriangleVector& getResult() const { return maResult; }
+        };
+
+        void Triangulator::handleClosingEdge(const B2DPoint& rStart, const B2DPoint& rEnd)
+        {
+            // create an entry, else the comparison might use the wrong edges
+            EdgeEntry aNew(rStart, rEnd);
+            EdgeEntry* pCurr = mpList;
+            EdgeEntry* pPrev = nullptr;
+
+            while(pCurr
+                && pCurr->getStart().getY() <= aNew.getStart().getY()
+                && *pCurr != aNew)
+            {
+                pPrev = pCurr;
+                pCurr = pCurr->getNext();
+            }
+
+            if(pCurr && *pCurr == aNew)
+            {
+                // found closing edge, remove
+                if(pPrev)
+                {
+                    pPrev->setNext(pCurr->getNext());
+                }
+                else
+                {
+                    mpList = pCurr->getNext();
+                }
+            }
+            else
+            {
+                // insert closing edge
+                EdgeEntry* pNew = new EdgeEntry(aNew);
+                maNewEdgeEntries.emplace_back(pNew);
+                pCurr = mpList;
+                pPrev = nullptr;
+
+                while(pCurr && *pCurr < *pNew)
+                {
+                    pPrev = pCurr;
+                    pCurr = pCurr->getNext();
+                }
+
+                if(pPrev)
+                {
+                    pNew->setNext(pPrev->getNext());
+                    pPrev->setNext(pNew);
+                }
+                else
+                {
+                    pNew->setNext(mpList);
+                    mpList = pNew;
+                }
+            }
+        }
+
+        bool Triangulator::CheckPointInTriangle(EdgeEntry* pEdgeA, EdgeEntry const * pEdgeB, const B2DPoint& rTestPoint)
+        {
+            // inside triangle or on edge?
+            if(!utils::isPointInTriangle(pEdgeA->getStart(), pEdgeA->getEnd(), pEdgeB->getEnd(), rTestPoint, true))
+                return true;
+
+            // but not on point
+            if(!rTestPoint.equal(pEdgeA->getEnd()) && !rTestPoint.equal(pEdgeB->getEnd()))
+            {
+                // found point in triangle -> split triangle inserting two edges
+                EdgeEntry* pStart = new EdgeEntry(pEdgeA->getStart(), rTestPoint);
+                EdgeEntry* pEnd = new EdgeEntry(*pStart);
+                maNewEdgeEntries.emplace_back(pStart);
+                maNewEdgeEntries.emplace_back(pEnd);
+
+                pStart->setNext(pEnd);
+                pEnd->setNext(pEdgeA->getNext());
+                pEdgeA->setNext(pStart);
+
+                return false;
+            }
+
+            return true;
+        }
+
+        void Triangulator::createTriangle(const B2DPoint& rA, const B2DPoint& rB, const B2DPoint& rC)
+        {
+            maResult.emplace_back(
+                rA,
+                rB,
+                rC);
+        }
+
+        // consume as long as there are edges
+        Triangulator::Triangulator(const B2DPolyPolygon& rCandidate)
+        :   mpList(nullptr)
+        {
+            // add all available edges to the single linked local list which will be sorted
+            // by Y,X,atan2 when adding nodes
+            if(rCandidate.count())
+            {
+                for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+                {
+                    const B2DPolygon& aPolygonCandidate(rCandidate.getB2DPolygon(a));
+                    const sal_uInt32 nCount(aPolygonCandidate.count());
+
+                    if(nCount > 2)
+                    {
+                        B2DPoint aPrevPnt(aPolygonCandidate.getB2DPoint(nCount - 1));
+
+                        for(sal_uInt32 b(0); b < nCount; b++)
+                        {
+                            B2DPoint aNextPnt(aPolygonCandidate.getB2DPoint(b));
+
+                            if( !aPrevPnt.equal(aNextPnt) )
+                            {
+                                maStartEntries.emplace_back(aPrevPnt, aNextPnt);
+                            }
+
+                            aPrevPnt = aNextPnt;
+                        }
+                    }
+                }
+
+                if(!maStartEntries.empty())
+                {
+                    // sort initial list
+                    std::sort(maStartEntries.begin(), maStartEntries.end());
+
+                    // insert to own simply linked list
+                    EdgeEntries::iterator aPos(maStartEntries.begin());
+                    mpList = &(*aPos++);
+                    EdgeEntry* pLast = mpList;
+
+                    while(aPos != maStartEntries.end())
+                    {
+                        EdgeEntry* pEntry = &(*aPos++);
+                        pLast->setNext(pEntry);
+                        pLast = pEntry;
+                    }
+                }
+            }
+
+            while(mpList)
+            {
+                if(mpList->getNext() && mpList->getNext()->getStart().equal(mpList->getStart()))
+                {
+                    // next candidate. There are two edges and start point is equal.
+                    // Length is not zero.
+                    EdgeEntry* pEdgeA = mpList;
+                    EdgeEntry* pEdgeB = pEdgeA->getNext();
+
+                    if( pEdgeA->getEnd().equal(pEdgeB->getEnd()) )
+                    {
+                        // start and end equal -> neutral triangle, delete both
+                        mpList = pEdgeB->getNext();
+                    }
+                    else
+                    {
+                        const B2DVector aLeft(pEdgeA->getEnd() - pEdgeA->getStart());
+                        const B2DVector aRight(pEdgeB->getEnd() - pEdgeA->getStart());
+
+                        if(getOrientation(aLeft, aRight) == B2VectorOrientation::Neutral)
+                        {
+                            // edges are parallel and have different length -> neutral triangle,
+                            // delete both edges and handle closing edge
+                            mpList = pEdgeB->getNext();
+                            handleClosingEdge(pEdgeA->getEnd(), pEdgeB->getEnd());
+                        }
+                        else
+                        {
+                            // not parallel, look for points inside
+                            B2DRange aRange(pEdgeA->getStart(), pEdgeA->getEnd());
+                            aRange.expand(pEdgeB->getEnd());
+                            EdgeEntry* pTestEdge = pEdgeB->getNext();
+                            bool bNoPointInTriangle(true);
+
+                            // look for start point in triangle
+                            while(bNoPointInTriangle && pTestEdge)
+                            {
+                                if(aRange.getMaxY() < pTestEdge->getStart().getY())
+                                {
+                                    // edge is below test range and edges are sorted -> stop looking
+                                    break;
+                                }
+                                else
+                                {
+                                    // do not look for edges with same start point, they are sorted and cannot end inside.
+                                    if(!pTestEdge->getStart().equal(pEdgeA->getStart()))
+                                    {
+                                        if(aRange.isInside(pTestEdge->getStart()))
+                                        {
+                                            bNoPointInTriangle = CheckPointInTriangle(pEdgeA, pEdgeB, pTestEdge->getStart());
+                                        }
+                                    }
+                                }
+
+                                // next candidate
+                                pTestEdge = pTestEdge->getNext();
+                            }
+
+                            if(bNoPointInTriangle)
+                            {
+                                // look for end point in triangle
+                                pTestEdge = pEdgeB->getNext();
+
+                                while(bNoPointInTriangle && pTestEdge)
+                                {
+                                    if(aRange.getMaxY() < pTestEdge->getStart().getY())
+                                    {
+                                        // edge is below test range and edges are sorted -> stop looking
+                                        break;
+                                    }
+                                    else
+                                    {
+                                        // do not look for edges with same end point, they are sorted and cannot end inside.
+                                        if(!pTestEdge->getEnd().equal(pEdgeA->getStart()))
+                                        {
+                                            if(aRange.isInside(pTestEdge->getEnd()))
+                                            {
+                                                bNoPointInTriangle = CheckPointInTriangle(pEdgeA, pEdgeB, pTestEdge->getEnd());
+                                            }
+                                        }
+                                    }
+
+                                    // next candidate
+                                    pTestEdge = pTestEdge->getNext();
+                                }
+                            }
+
+                            if(bNoPointInTriangle)
+                            {
+                                // create triangle, remove edges, handle closing edge
+                                mpList = pEdgeB->getNext();
+                                createTriangle(pEdgeA->getStart(), pEdgeB->getEnd(), pEdgeA->getEnd());
+                                handleClosingEdge(pEdgeA->getEnd(), pEdgeB->getEnd());
+                            }
+                        }
+                    }
+                }
+                else
+                {
+                    // only one entry at start point, delete it
+                    mpList = mpList->getNext();
+                }
+            }
+        }
+
+    } // end of anonymous namespace
+} // end of namespace basegfx
+
+namespace basegfx::triangulator
+{
+        B2DTriangleVector triangulate(const B2DPolygon& rCandidate)
+        {
+            B2DTriangleVector aRetval;
+
+            // subdivide locally (triangulate does not work with beziers), remove double and neutral points
+            B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? utils::adaptiveSubdivideByAngle(rCandidate) : rCandidate);
+            aCandidate.removeDoublePoints();
+            aCandidate = utils::removeNeutralPoints(aCandidate);
+
+            if(aCandidate.count() == 2)
+            {
+                // candidate IS a triangle, just append
+                aRetval.emplace_back(
+                    aCandidate.getB2DPoint(0),
+                    aCandidate.getB2DPoint(1),
+                    aCandidate.getB2DPoint(2));
+            }
+            else if(aCandidate.count() > 2)
+            {
+                if(utils::isConvex(aCandidate))
+                {
+                    // polygon is convex, just use a triangle fan
+                    utils::addTriangleFan(aCandidate, aRetval);
+                }
+                else
+                {
+                    // polygon is concave.
+                    const B2DPolyPolygon aCandPolyPoly(aCandidate);
+                    Triangulator aTriangulator(aCandPolyPoly);
+
+                    aRetval = aTriangulator.getResult();
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DTriangleVector triangulate(const B2DPolyPolygon& rCandidate)
+        {
+            B2DTriangleVector aRetval;
+
+            // subdivide locally (triangulate does not work with beziers)
+            B2DPolyPolygon aCandidate(rCandidate.areControlPointsUsed() ? utils::adaptiveSubdivideByAngle(rCandidate) : rCandidate);
+
+            if(aCandidate.count() == 1)
+            {
+                // single polygon -> single polygon triangulation
+                const B2DPolygon& aSinglePolygon(aCandidate.getB2DPolygon(0));
+
+                aRetval = triangulate(aSinglePolygon);
+            }
+            else
+            {
+                Triangulator aTriangulator(aCandidate);
+
+                aRetval = aTriangulator.getResult();
+            }
+
+            return aRetval;
+        }
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dpolypolygon.cxx b/basegfx/source/polygon/b2dpolypolygon.cxx
new file mode 100644
index 000000000..4a81a82c4
--- /dev/null
+++ b/basegfx/source/polygon/b2dpolypolygon.cxx
@@ -0,0 +1,441 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <sal/config.h>
+
+#include <utility>
+
+#include <basegfx/polygon/b2dpolypolygon.hxx>
+#include <osl/diagnose.h>
+#include <basegfx/polygon/b2dpolygon.hxx>
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <basegfx/utils/systemdependentdata.hxx>
+
+namespace basegfx
+{
+
+class ImplB2DPolyPolygon
+{
+    basegfx::B2DPolygonVector                               maPolygons;
+    std::unique_ptr< basegfx::SystemDependentDataHolder >   mpSystemDependentDataHolder;
+
+public:
+    ImplB2DPolyPolygon()
+    {
+    }
+
+    explicit ImplB2DPolyPolygon(const ImplB2DPolyPolygon& rSource)
+    :   maPolygons(rSource.maPolygons)
+    {
+    }
+
+    explicit ImplB2DPolyPolygon(const basegfx::B2DPolygon& rToBeCopied)
+    :   maPolygons(1,rToBeCopied)
+    {
+    }
+
+    ImplB2DPolyPolygon& operator=(const ImplB2DPolyPolygon& rSource)
+    {
+        if (this != &rSource)
+        {
+            maPolygons = rSource.maPolygons;
+            mpSystemDependentDataHolder.reset();
+        }
+
+        return *this;
+    }
+
+    void addOrReplaceSystemDependentData(basegfx::SystemDependentData_SharedPtr& rData)
+    {
+        if(!mpSystemDependentDataHolder)
+        {
+            mpSystemDependentDataHolder.reset(new basegfx::SystemDependentDataHolder());
+        }
+
+        mpSystemDependentDataHolder->addOrReplaceSystemDependentData(rData);
+    }
+
+    basegfx::SystemDependentData_SharedPtr getSystemDependentData(size_t hash_code) const
+    {
+        if(!mpSystemDependentDataHolder)
+        {
+            return basegfx::SystemDependentData_SharedPtr();
+        }
+
+        return mpSystemDependentDataHolder->getSystemDependentData(hash_code);
+    }
+
+    bool operator==(const ImplB2DPolyPolygon& rPolygonList) const
+    {
+        return maPolygons == rPolygonList.maPolygons;
+    }
+
+    const basegfx::B2DPolygon& getB2DPolygon(sal_uInt32 nIndex) const
+    {
+        return maPolygons[nIndex];
+    }
+
+    void setB2DPolygon(sal_uInt32 nIndex, const basegfx::B2DPolygon& rPolygon)
+    {
+        maPolygons[nIndex] = rPolygon;
+    }
+
+    void insert(sal_uInt32 nIndex, const basegfx::B2DPolygon& rPolygon, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // add nCount copies of rPolygon
+            basegfx::B2DPolygonVector::iterator aIndex(maPolygons.begin());
+            if( nIndex )
+                aIndex += nIndex;
+            maPolygons.insert(aIndex, nCount, rPolygon);
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const basegfx::B2DPolyPolygon& rPolyPolygon)
+    {
+        // add nCount polygons from rPolyPolygon
+        basegfx::B2DPolygonVector::iterator aIndex(maPolygons.begin());
+        if( nIndex )
+            aIndex += nIndex;
+        maPolygons.insert(aIndex, rPolyPolygon.begin(), rPolyPolygon.end());
+    }
+
+    void remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // remove polygon data
+            basegfx::B2DPolygonVector::iterator aStart(maPolygons.begin());
+            aStart += nIndex;
+            const basegfx::B2DPolygonVector::iterator aEnd(aStart + nCount);
+
+            maPolygons.erase(aStart, aEnd);
+        }
+    }
+
+    sal_uInt32 count() const
+    {
+        return maPolygons.size();
+    }
+
+    void setClosed(bool bNew)
+    {
+        for(basegfx::B2DPolygon & rPolygon : maPolygons)
+        {
+            rPolygon.setClosed(bNew);
+        }
+    }
+
+    void flip()
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.flip();
+    }
+
+    void removeDoublePoints()
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.removeDoublePoints();
+    }
+
+    void transform(const basegfx::B2DHomMatrix& rMatrix)
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.transform(rMatrix);
+    }
+
+    void makeUnique()
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.makeUnique();
+    }
+
+    const basegfx::B2DPolygon* begin() const
+    {
+        if (maPolygons.empty())
+            return nullptr;
+        else
+            return maPolygons.data();
+    }
+
+    const basegfx::B2DPolygon* end() const
+    {
+        if (maPolygons.empty())
+            return nullptr;
+        else
+            return maPolygons.data() + maPolygons.size();
+    }
+
+    basegfx::B2DPolygon* begin()
+    {
+        if (maPolygons.empty())
+            return nullptr;
+        else
+            return maPolygons.data();
+    }
+
+    basegfx::B2DPolygon* end()
+    {
+        if (maPolygons.empty())
+            return nullptr;
+        else
+            return maPolygons.data() + maPolygons.size();
+    }
+};
+
+    static o3tl::cow_wrapper<ImplB2DPolyPolygon> DEFAULT;
+
+    B2DPolyPolygon::B2DPolyPolygon() :
+        mpPolyPolygon(DEFAULT) {}
+
+    B2DPolyPolygon::B2DPolyPolygon(const B2DPolyPolygon&) = default;
+
+    B2DPolyPolygon::B2DPolyPolygon(B2DPolyPolygon&&) = default;
+
+    B2DPolyPolygon::B2DPolyPolygon(const B2DPolygon& rPolygon) :
+        mpPolyPolygon( ImplB2DPolyPolygon(rPolygon) )
+    {
+    }
+
+    B2DPolyPolygon::~B2DPolyPolygon() = default;
+
+    B2DPolyPolygon& B2DPolyPolygon::operator=(const B2DPolyPolygon&) = default;
+
+    B2DPolyPolygon& B2DPolyPolygon::operator=(B2DPolyPolygon&&) = default;
+
+    void B2DPolyPolygon::makeUnique()
+    {
+        mpPolyPolygon.make_unique();
+        mpPolyPolygon->makeUnique();
+    }
+
+    bool B2DPolyPolygon::operator==(const B2DPolyPolygon& rPolyPolygon) const
+    {
+        if(mpPolyPolygon.same_object(rPolyPolygon.mpPolyPolygon))
+            return true;
+
+        return ((*mpPolyPolygon) == (*rPolyPolygon.mpPolyPolygon));
+    }
+
+    bool B2DPolyPolygon::operator!=(const B2DPolyPolygon& rPolyPolygon) const
+    {
+        return !((*this) == rPolyPolygon);
+    }
+
+    sal_uInt32 B2DPolyPolygon::count() const
+    {
+        return mpPolyPolygon->count();
+    }
+
+    B2DPolygon const & B2DPolyPolygon::getB2DPolygon(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolyPolygon->count(), "B2DPolyPolygon access outside range (!)");
+
+        return mpPolyPolygon->getB2DPolygon(nIndex);
+    }
+
+    void B2DPolyPolygon::setB2DPolygon(sal_uInt32 nIndex, const B2DPolygon& rPolygon)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolyPolygon)->count(), "B2DPolyPolygon access outside range (!)");
+
+        if(getB2DPolygon(nIndex) != rPolygon)
+            mpPolyPolygon->setB2DPolygon(nIndex, rPolygon);
+    }
+
+    bool B2DPolyPolygon::areControlPointsUsed() const
+    {
+        for(sal_uInt32 a(0); a < mpPolyPolygon->count(); a++)
+        {
+            const B2DPolygon& rPolygon = mpPolyPolygon->getB2DPolygon(a);
+
+            if(rPolygon.areControlPointsUsed())
+            {
+                return true;
+            }
+        }
+
+        return false;
+    }
+
+    void B2DPolyPolygon::insert(sal_uInt32 nIndex, const B2DPolygon& rPolygon, sal_uInt32 nCount)
+    {
+        OSL_ENSURE(nIndex <= std::as_const(mpPolyPolygon)->count(), "B2DPolyPolygon Insert outside range (!)");
+
+        if(nCount)
+            mpPolyPolygon->insert(nIndex, rPolygon, nCount);
+    }
+
+    void B2DPolyPolygon::append(const B2DPolygon& rPolygon, sal_uInt32 nCount)
+    {
+        if(nCount)
+            mpPolyPolygon->insert(std::as_const(mpPolyPolygon)->count(), rPolygon, nCount);
+    }
+
+    B2DPolyPolygon B2DPolyPolygon::getDefaultAdaptiveSubdivision() const
+    {
+        B2DPolyPolygon aRetval;
+
+        for(sal_uInt32 a(0); a < mpPolyPolygon->count(); a++)
+        {
+            aRetval.append(mpPolyPolygon->getB2DPolygon(a).getDefaultAdaptiveSubdivision());
+        }
+
+        return aRetval;
+    }
+
+    B2DRange B2DPolyPolygon::getB2DRange() const
+    {
+        B2DRange aRetval;
+
+        for(sal_uInt32 a(0); a < mpPolyPolygon->count(); a++)
+        {
+            aRetval.expand(mpPolyPolygon->getB2DPolygon(a).getB2DRange());
+        }
+
+        return aRetval;
+    }
+
+    void B2DPolyPolygon::insert(sal_uInt32 nIndex, const B2DPolyPolygon& rPolyPolygon)
+    {
+        OSL_ENSURE(nIndex <= std::as_const(mpPolyPolygon)->count(), "B2DPolyPolygon Insert outside range (!)");
+
+        if(rPolyPolygon.count())
+            mpPolyPolygon->insert(nIndex, rPolyPolygon);
+    }
+
+    void B2DPolyPolygon::append(const B2DPolyPolygon& rPolyPolygon)
+    {
+        if(rPolyPolygon.count())
+            mpPolyPolygon->insert(std::as_const(mpPolyPolygon)->count(), rPolyPolygon);
+    }
+
+    void B2DPolyPolygon::remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        OSL_ENSURE(nIndex + nCount <= std::as_const(mpPolyPolygon)->count(), "B2DPolyPolygon Remove outside range (!)");
+
+        if(nCount)
+            mpPolyPolygon->remove(nIndex, nCount);
+    }
+
+    void B2DPolyPolygon::clear()
+    {
+        *mpPolyPolygon = ImplB2DPolyPolygon();
+    }
+
+    bool B2DPolyPolygon::isClosed() const
+    {
+        bool bRetval(true);
+
+        // PolyPOlygon is closed when all contained Polygons are closed or
+        // no Polygon exists.
+        for(sal_uInt32 a(0); bRetval && a < mpPolyPolygon->count(); a++)
+        {
+            if(!mpPolyPolygon->getB2DPolygon(a).isClosed())
+            {
+                bRetval = false;
+            }
+        }
+
+        return bRetval;
+    }
+
+    void B2DPolyPolygon::setClosed(bool bNew)
+    {
+        if(bNew != isClosed())
+            mpPolyPolygon->setClosed(bNew);
+    }
+
+    void B2DPolyPolygon::flip()
+    {
+        if(std::as_const(mpPolyPolygon)->count())
+        {
+            mpPolyPolygon->flip();
+        }
+    }
+
+    bool B2DPolyPolygon::hasDoublePoints() const
+    {
+        bool bRetval(false);
+
+        for(sal_uInt32 a(0); !bRetval && a < mpPolyPolygon->count(); a++)
+        {
+            if(mpPolyPolygon->getB2DPolygon(a).hasDoublePoints())
+            {
+                bRetval = true;
+            }
+        }
+
+        return bRetval;
+    }
+
+    void B2DPolyPolygon::removeDoublePoints()
+    {
+        if(hasDoublePoints())
+            mpPolyPolygon->removeDoublePoints();
+    }
+
+    void B2DPolyPolygon::transform(const B2DHomMatrix& rMatrix)
+    {
+        if(std::as_const(mpPolyPolygon)->count() && !rMatrix.isIdentity())
+        {
+            mpPolyPolygon->transform(rMatrix);
+        }
+    }
+
+    const B2DPolygon* B2DPolyPolygon::begin() const
+    {
+        return mpPolyPolygon->begin();
+    }
+
+    const B2DPolygon* B2DPolyPolygon::end() const
+    {
+        return mpPolyPolygon->end();
+    }
+
+    B2DPolygon* B2DPolyPolygon::begin()
+    {
+        return mpPolyPolygon->begin();
+    }
+
+    B2DPolygon* B2DPolyPolygon::end()
+    {
+        return mpPolyPolygon->end();
+    }
+
+    void B2DPolyPolygon::addOrReplaceSystemDependentDataInternal(SystemDependentData_SharedPtr& rData) const
+    {
+        // Need to get ImplB2DPolyPolygon* from cow_wrapper *without*
+        // calling make_unique() here - we do not want to
+        // 'modify' the ImplB2DPolyPolygon, but add buffered data that
+        // is valid for all referencing instances
+        const B2DPolyPolygon* pMe(this);
+        const ImplB2DPolyPolygon* pMyImpl(pMe->mpPolyPolygon.get());
+
+        const_cast<ImplB2DPolyPolygon*>(pMyImpl)->addOrReplaceSystemDependentData(rData);
+    }
+
+    SystemDependentData_SharedPtr B2DPolyPolygon::getSystemDependantDataInternal(size_t hash_code) const
+    {
+        return mpPolyPolygon->getSystemDependentData(hash_code);
+    }
+
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dpolypolygoncutter.cxx b/basegfx/source/polygon/b2dpolypolygoncutter.cxx
new file mode 100644
index 000000000..b548939f3
--- /dev/null
+++ b/basegfx/source/polygon/b2dpolypolygoncutter.cxx
@@ -0,0 +1,1149 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <basegfx/numeric/ftools.hxx>
+#include <basegfx/polygon/b2dpolypolygoncutter.hxx>
+#include <basegfx/point/b2dpoint.hxx>
+#include <basegfx/vector/b2dvector.hxx>
+#include <basegfx/polygon/b2dpolygon.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <basegfx/polygon/b2dpolygoncutandtouch.hxx>
+#include <basegfx/range/b2drange.hxx>
+#include <basegfx/polygon/b2dpolypolygontools.hxx>
+#include <basegfx/curve/b2dcubicbezier.hxx>
+#include <sal/log.hxx>
+#include <utility>
+#include <vector>
+#include <algorithm>
+
+namespace basegfx
+{
+    namespace
+    {
+
+        struct StripHelper
+        {
+            B2DRange                                maRange;
+            sal_Int32                               mnDepth;
+            B2VectorOrientation                     meOrinetation;
+        };
+
+        struct PN
+        {
+        public:
+            B2DPoint                maPoint;
+            sal_uInt32              mnI;
+            sal_uInt32              mnIP;
+            sal_uInt32              mnIN;
+        };
+
+        struct VN
+        {
+        public:
+            B2DVector               maPrev;
+            B2DVector               maNext;
+
+            // to have the correct curve segments in the crossover checks,
+            // it is necessary to keep the original next vectors, too. Else,
+            // it may happen to use an already switched next vector which
+            // would interpolate the wrong comparison point
+            B2DVector               maOriginalNext;
+        };
+
+        struct SN
+        {
+        public:
+            PN*                     mpPN;
+
+            bool operator<(const SN& rComp) const
+            {
+                if(fTools::equal(mpPN->maPoint.getX(), rComp.mpPN->maPoint.getX()))
+                {
+                    if(fTools::equal(mpPN->maPoint.getY(), rComp.mpPN->maPoint.getY()))
+                    {
+                        return (mpPN->mnI < rComp.mpPN->mnI);
+                    }
+                    else
+                    {
+                        return fTools::less(mpPN->maPoint.getY(), rComp.mpPN->maPoint.getY());
+                    }
+                }
+                else
+                {
+                    return fTools::less(mpPN->maPoint.getX(), rComp.mpPN->maPoint.getX());
+                }
+            }
+        };
+
+        typedef std::vector< PN > PNV;
+        typedef std::vector< VN > VNV;
+        typedef std::vector< SN > SNV;
+        typedef std::pair< basegfx::B2DPoint /*orig*/, basegfx::B2DPoint /*repl*/ > CorrectionPair;
+
+        class solver
+        {
+        private:
+            const B2DPolyPolygon    maOriginal;
+            PNV                     maPNV;
+            VNV                     maVNV;
+            SNV                     maSNV;
+            std::vector< CorrectionPair >
+                                    maCorrectionTable;
+
+            bool                    mbIsCurve : 1;
+            bool                    mbChanged : 1;
+
+            void impAddPolygon(const sal_uInt32 aPos, const B2DPolygon& rGeometry)
+            {
+                const sal_uInt32 nCount(rGeometry.count());
+                PN aNewPN;
+                VN aNewVN;
+                SN aNewSN;
+
+                for(sal_uInt32 a(0); a < nCount; a++)
+                {
+                    const B2DPoint aPoint(rGeometry.getB2DPoint(a));
+                    aNewPN.maPoint = aPoint;
+                    aNewPN.mnI = aPos + a;
+                    aNewPN.mnIP = aPos + ((a != 0) ? a - 1 : nCount - 1);
+                    aNewPN.mnIN = aPos + ((a + 1 == nCount) ? 0 : a + 1);
+                    maPNV.push_back(aNewPN);
+
+                    if(mbIsCurve)
+                    {
+                        aNewVN.maPrev = rGeometry.getPrevControlPoint(a) - aPoint;
+                        aNewVN.maNext = rGeometry.getNextControlPoint(a) - aPoint;
+                        aNewVN.maOriginalNext = aNewVN.maNext;
+                        maVNV.push_back(aNewVN);
+                    }
+
+                    aNewSN.mpPN = &maPNV[maPNV.size() - 1];
+                    maSNV.push_back(aNewSN);
+                }
+            }
+
+            static bool impLeftOfEdges(const B2DVector& rVecA, const B2DVector& rVecB, const B2DVector& rTest)
+            {
+                // tests if rTest is left of both directed line segments along the line -rVecA, rVecB. Test is
+                // with border.
+                if(rVecA.cross(rVecB) > 0.0)
+                {
+                    // b is left turn seen from a, test if Test is left of both and so inside (left is seen as inside)
+                    const bool bBoolA(fTools::moreOrEqual(rVecA.cross(rTest), 0.0));
+                    const bool bBoolB(fTools::lessOrEqual(rVecB.cross(rTest), 0.0));
+
+                    return (bBoolA && bBoolB);
+                }
+                else
+                {
+                    // b is right turn seen from a, test if Test is right of both and so outside (left is seen as inside)
+                    const bool bBoolA(fTools::lessOrEqual(rVecA.cross(rTest), 0.0));
+                    const bool bBoolB(fTools::moreOrEqual(rVecB.cross(rTest), 0.0));
+
+                    return (!(bBoolA && bBoolB));
+                }
+            }
+
+            void impSwitchNext(PN& rPNa, PN& rPNb)
+            {
+                std::swap(rPNa.mnIN, rPNb.mnIN);
+
+                if(mbIsCurve)
+                {
+                    VN& rVNa = maVNV[rPNa.mnI];
+                    VN& rVNb = maVNV[rPNb.mnI];
+
+                    std::swap(rVNa.maNext, rVNb.maNext);
+                }
+
+                if(!mbChanged)
+                {
+                    mbChanged = true;
+                }
+            }
+
+            B2DCubicBezier createSegment(const PN& rPN, bool bPrev) const
+            {
+                const B2DPoint& rStart(rPN.maPoint);
+                const B2DPoint& rEnd(maPNV[bPrev ? rPN.mnIP : rPN.mnIN].maPoint);
+                const B2DVector& rCPA(bPrev ? maVNV[rPN.mnI].maPrev : maVNV[rPN.mnI].maNext);
+                // Use maOriginalNext, not maNext to create the original (yet unchanged)
+                // curve segment. Otherwise, this segment would NOT ne correct.
+                const B2DVector& rCPB(bPrev ? maVNV[maPNV[rPN.mnIP].mnI].maOriginalNext : maVNV[maPNV[rPN.mnIN].mnI].maPrev);
+
+                return B2DCubicBezier(rStart, rStart + rCPA, rEnd + rCPB, rEnd);
+            }
+
+            void impHandleCommon(PN& rPNa, PN& rPNb)
+            {
+                if(mbIsCurve)
+                {
+                    const B2DCubicBezier aNextA(createSegment(rPNa, false));
+                    const B2DCubicBezier aPrevA(createSegment(rPNa, true));
+
+                    if(aNextA.equal(aPrevA))
+                    {
+                        // deadend on A (identical edge)
+                        return;
+                    }
+
+                    const B2DCubicBezier aNextB(createSegment(rPNb, false));
+                    const B2DCubicBezier aPrevB(createSegment(rPNb, true));
+
+                    if(aNextB.equal(aPrevB))
+                    {
+                        // deadend on B (identical edge)
+                        return;
+                    }
+
+                    if(aPrevA.equal(aPrevB))
+                    {
+                        // common edge in same direction
+                        return;
+                    }
+                    else if(aPrevA.equal(aNextB))
+                    {
+                        // common edge in opposite direction
+                        if(aNextA.equal(aPrevB))
+                        {
+                            // common edge in opposite direction continues
+                            return;
+                        }
+                        else
+                        {
+                            // common edge in opposite direction leave
+                            impSwitchNext(rPNa, rPNb);
+                        }
+                    }
+                    else if(aNextA.equal(aNextB))
+                    {
+                        // common edge in same direction enter
+                        // search leave edge
+                        PN* pPNa2 = &maPNV[rPNa.mnIN];
+                        PN* pPNb2 = &maPNV[rPNb.mnIN];
+                        bool bOnEdge(true);
+
+                        do
+                        {
+                            const B2DCubicBezier aNextA2(createSegment(*pPNa2, false));
+                            const B2DCubicBezier aNextB2(createSegment(*pPNb2, false));
+
+                            if(aNextA2.equal(aNextB2))
+                            {
+                                pPNa2 = &maPNV[pPNa2->mnIN];
+                                pPNb2 = &maPNV[pPNb2->mnIN];
+                            }
+                            else
+                            {
+                                bOnEdge = false;
+                            }
+                        }
+                        while(bOnEdge && pPNa2 != &rPNa && pPNb2 != &rPNb);
+
+                        if(bOnEdge)
+                        {
+                            // loop over two identical polygon paths
+                            return;
+                        }
+                        else
+                        {
+                            // enter at rPNa, rPNb; leave at pPNa2, pPNb2. No common edges
+                            // at enter/leave. Check for crossover.
+                            const B2DVector aPrevCA(aPrevA.interpolatePoint(0.5) - aPrevA.getStartPoint());
+                            const B2DVector aNextCA(aNextA.interpolatePoint(0.5) - aNextA.getStartPoint());
+                            const B2DVector aPrevCB(aPrevB.interpolatePoint(0.5) - aPrevB.getStartPoint());
+                            const bool bEnter(impLeftOfEdges(aPrevCA, aNextCA, aPrevCB));
+
+                            const B2DCubicBezier aNextA2(createSegment(*pPNa2, false));
+                            const B2DCubicBezier aPrevA2(createSegment(*pPNa2, true));
+                            const B2DCubicBezier aNextB2(createSegment(*pPNb2, false));
+                            const B2DVector aPrevCA2(aPrevA2.interpolatePoint(0.5) - aPrevA2.getStartPoint());
+                            const B2DVector aNextCA2(aNextA2.interpolatePoint(0.5) - aNextA2.getStartPoint());
+                            const B2DVector aNextCB2(aNextB2.interpolatePoint(0.5) - aNextB2.getStartPoint());
+                            const bool bLeave(impLeftOfEdges(aPrevCA2, aNextCA2, aNextCB2));
+
+                            if(bEnter != bLeave)
+                            {
+                                // crossover
+                                impSwitchNext(rPNa, rPNb);
+                            }
+                        }
+                    }
+                    else if(aNextA.equal(aPrevB))
+                    {
+                        // common edge in opposite direction enter
+                        impSwitchNext(rPNa, rPNb);
+                    }
+                    else
+                    {
+                        // no common edges, check for crossover
+                        const B2DVector aPrevCA(aPrevA.interpolatePoint(0.5) - aPrevA.getStartPoint());
+                        const B2DVector aNextCA(aNextA.interpolatePoint(0.5) - aNextA.getStartPoint());
+                        const B2DVector aPrevCB(aPrevB.interpolatePoint(0.5) - aPrevB.getStartPoint());
+                        const B2DVector aNextCB(aNextB.interpolatePoint(0.5) - aNextB.getStartPoint());
+
+                        const bool bEnter(impLeftOfEdges(aPrevCA, aNextCA, aPrevCB));
+                        const bool bLeave(impLeftOfEdges(aPrevCA, aNextCA, aNextCB));
+
+                        if(bEnter != bLeave)
+                        {
+                            // crossover
+                            impSwitchNext(rPNa, rPNb);
+                        }
+                    }
+                }
+                else
+                {
+                    const B2DPoint& rNextA(maPNV[rPNa.mnIN].maPoint);
+                    const B2DPoint& rPrevA(maPNV[rPNa.mnIP].maPoint);
+
+                    if(rNextA.equal(rPrevA))
+                    {
+                        // deadend on A
+                        return;
+                    }
+
+                    const B2DPoint& rNextB(maPNV[rPNb.mnIN].maPoint);
+                    const B2DPoint& rPrevB(maPNV[rPNb.mnIP].maPoint);
+
+                    if(rNextB.equal(rPrevB))
+                    {
+                        // deadend on B
+                        return;
+                    }
+
+                    if(rPrevA.equal(rPrevB))
+                    {
+                        // common edge in same direction
+                        return;
+                    }
+                    else if(rPrevA.equal(rNextB))
+                    {
+                        // common edge in opposite direction
+                        if(rNextA.equal(rPrevB))
+                        {
+                            // common edge in opposite direction continues
+                            return;
+                        }
+                        else
+                        {
+                            // common edge in opposite direction leave
+                            impSwitchNext(rPNa, rPNb);
+                        }
+                    }
+                    else if(rNextA.equal(rNextB))
+                    {
+                        // common edge in same direction enter
+                        // search leave edge
+                        PN* pPNa2 = &maPNV[rPNa.mnIN];
+                        PN* pPNb2 = &maPNV[rPNb.mnIN];
+                        bool bOnEdge(true);
+
+                        do
+                        {
+                            const B2DPoint& rNextA2(maPNV[pPNa2->mnIN].maPoint);
+                            const B2DPoint& rNextB2(maPNV[pPNb2->mnIN].maPoint);
+
+                            if(rNextA2.equal(rNextB2))
+                            {
+                                pPNa2 = &maPNV[pPNa2->mnIN];
+                                pPNb2 = &maPNV[pPNb2->mnIN];
+                            }
+                            else
+                            {
+                                bOnEdge = false;
+                            }
+                        }
+                        while(bOnEdge && pPNa2 != &rPNa && pPNb2 != &rPNb);
+
+                        if(bOnEdge)
+                        {
+                            // loop over two identical polygon paths
+                            return;
+                        }
+                        else
+                        {
+                            // enter at rPNa, rPNb; leave at pPNa2, pPNb2. No common edges
+                            // at enter/leave. Check for crossover.
+                            const B2DPoint& aPointE(rPNa.maPoint);
+                            const B2DVector aPrevAE(rPrevA - aPointE);
+                            const B2DVector aNextAE(rNextA - aPointE);
+                            const B2DVector aPrevBE(rPrevB - aPointE);
+
+                            const B2DPoint& aPointL(pPNa2->maPoint);
+                            const B2DVector aPrevAL(maPNV[pPNa2->mnIP].maPoint - aPointL);
+                            const B2DVector aNextAL(maPNV[pPNa2->mnIN].maPoint - aPointL);
+                            const B2DVector aNextBL(maPNV[pPNb2->mnIN].maPoint - aPointL);
+
+                            const bool bEnter(impLeftOfEdges(aPrevAE, aNextAE, aPrevBE));
+                            const bool bLeave(impLeftOfEdges(aPrevAL, aNextAL, aNextBL));
+
+                            if(bEnter != bLeave)
+                            {
+                                // crossover; switch start or end
+                                impSwitchNext(rPNa, rPNb);
+                            }
+                        }
+                    }
+                    else if(rNextA.equal(rPrevB))
+                    {
+                        // common edge in opposite direction enter
+                        impSwitchNext(rPNa, rPNb);
+                    }
+                    else
+                    {
+                        // no common edges, check for crossover
+                        const B2DPoint& aPoint(rPNa.maPoint);
+                        const B2DVector aPrevA(rPrevA - aPoint);
+                        const B2DVector aNextA(rNextA - aPoint);
+                        const B2DVector aPrevB(rPrevB - aPoint);
+                        const B2DVector aNextB(rNextB - aPoint);
+
+                        const bool bEnter(impLeftOfEdges(aPrevA, aNextA, aPrevB));
+                        const bool bLeave(impLeftOfEdges(aPrevA, aNextA, aNextB));
+
+                        if(bEnter != bLeave)
+                        {
+                            // crossover
+                            impSwitchNext(rPNa, rPNb);
+                        }
+                    }
+                }
+            }
+
+            void impSolve()
+            {
+                // sort by point to identify common nodes easier
+                std::sort(maSNV.begin(), maSNV.end());
+
+                // handle common nodes
+                const sal_uInt32 nNodeCount(maSNV.size());
+                sal_uInt32 a(0);
+
+                // snap unsharp-equal points
+                if(nNodeCount)
+                {
+                    basegfx::B2DPoint* pLast(&maSNV[0].mpPN->maPoint);
+
+                    for(a = 1; a < nNodeCount; a++)
+                    {
+                        basegfx::B2DPoint* pCurrent(&maSNV[a].mpPN->maPoint);
+
+                        if(pLast->equal(*pCurrent) && (pLast->getX() != pCurrent->getX() || pLast->getY() != pCurrent->getY()))
+                        {
+                            const basegfx::B2DPoint aMiddle((*pLast + *pCurrent) * 0.5);
+
+                            if(pLast->getX() != aMiddle.getX() || pLast->getY() != aMiddle.getY())
+                            {
+                                maCorrectionTable.emplace_back(*pLast, aMiddle);
+                                *pLast = aMiddle;
+                            }
+
+                            if(pCurrent->getX() != aMiddle.getX() || pCurrent->getY() != aMiddle.getY())
+                            {
+                                maCorrectionTable.emplace_back(*pCurrent, aMiddle);
+                                *pCurrent = aMiddle;
+                            }
+                        }
+
+                        pLast = pCurrent;
+                    }
+                }
+
+                for(a = 0; a < nNodeCount - 1; a++)
+                {
+                    // test a before using it, not after. Also use nPointCount instead of aSortNodes.size()
+                    PN& rPNb = *(maSNV[a].mpPN);
+
+                    for(sal_uInt32 b(a + 1); b < nNodeCount && rPNb.maPoint.equal(maSNV[b].mpPN->maPoint); b++)
+                    {
+                        impHandleCommon(rPNb, *maSNV[b].mpPN);
+                    }
+                }
+            }
+
+        public:
+            explicit solver(const B2DPolygon& rOriginal)
+            :   maOriginal(B2DPolyPolygon(rOriginal)),
+                mbIsCurve(false),
+                mbChanged(false)
+            {
+                const sal_uInt32 nOriginalCount(rOriginal.count());
+
+                if(!nOriginalCount)
+                    return;
+
+                B2DPolygon aGeometry(utils::addPointsAtCutsAndTouches(rOriginal));
+                aGeometry.removeDoublePoints();
+                aGeometry = utils::simplifyCurveSegments(aGeometry);
+                mbIsCurve = aGeometry.areControlPointsUsed();
+
+                const sal_uInt32 nPointCount(aGeometry.count());
+
+                // If it's not a bezier polygon, at least four points are needed to create
+                // a self-intersection. If it's a bezier polygon, the minimum point number
+                // is two, since with a single point You get a curve, but no self-intersection
+                if(!(nPointCount > 3 || (nPointCount > 1 && mbIsCurve)))
+                    return;
+
+                // reserve space in point, control and sort vector.
+                maSNV.reserve(nPointCount);
+                maPNV.reserve(nPointCount);
+                maVNV.reserve(mbIsCurve ? nPointCount : 0);
+
+                // fill data
+                impAddPolygon(0, aGeometry);
+
+                // solve common nodes
+                impSolve();
+            }
+
+            explicit solver(B2DPolyPolygon aOriginal, size_t* pPointLimit = nullptr)
+            :   maOriginal(std::move(aOriginal)),
+                mbIsCurve(false),
+                mbChanged(false)
+            {
+                sal_uInt32 nOriginalCount(maOriginal.count());
+
+                if(!nOriginalCount)
+                    return;
+
+                B2DPolyPolygon aGeometry(utils::addPointsAtCutsAndTouches(maOriginal, pPointLimit));
+                aGeometry.removeDoublePoints();
+                aGeometry = utils::simplifyCurveSegments(aGeometry);
+                mbIsCurve = aGeometry.areControlPointsUsed();
+                nOriginalCount = aGeometry.count();
+
+                if(!nOriginalCount)
+                    return;
+
+                sal_uInt32 nPointCount(0);
+                sal_uInt32 a(0);
+
+                // count points
+                for(a = 0; a < nOriginalCount; a++)
+                {
+                    const B2DPolygon& aCandidate(aGeometry.getB2DPolygon(a));
+                    const sal_uInt32 nCandCount(aCandidate.count());
+
+                    // If it's not a bezier curve, at least three points would be needed to have a
+                    // topological relevant (not empty) polygon. Since it's not known here if trivial
+                    // edges (dead ends) will be kept or sorted out, add non-bezier polygons with
+                    // more than one point.
+                    // For bezier curves, the minimum for defining an area is also one.
+                    if(nCandCount)
+                    {
+                        nPointCount += nCandCount;
+                    }
+                }
+
+                if(!nPointCount)
+                    return;
+
+                // reserve space in point, control and sort vector.
+                maSNV.reserve(nPointCount);
+                maPNV.reserve(nPointCount);
+                maVNV.reserve(mbIsCurve ? nPointCount : 0);
+
+                // fill data
+                sal_uInt32 nInsertIndex(0);
+
+                for(a = 0; a < nOriginalCount; a++)
+                {
+                    const B2DPolygon& aCandidate(aGeometry.getB2DPolygon(a));
+                    const sal_uInt32 nCandCount(aCandidate.count());
+
+                    // use same condition as above, the data vector is
+                    // pre-allocated
+                    if(nCandCount)
+                    {
+                        impAddPolygon(nInsertIndex, aCandidate);
+                        nInsertIndex += nCandCount;
+                    }
+                }
+
+                // solve common nodes
+                impSolve();
+            }
+
+            B2DPolyPolygon getB2DPolyPolygon()
+            {
+                if(mbChanged)
+                {
+                    B2DPolyPolygon aRetval;
+                    const sal_uInt32 nCount(maPNV.size());
+                    sal_uInt32 nCountdown(nCount);
+
+                    for(sal_uInt32 a(0); nCountdown && a < nCount; a++)
+                    {
+                        PN& rPN = maPNV[a];
+
+                        if(rPN.mnI != SAL_MAX_UINT32)
+                        {
+                            // unused node, start new part polygon
+                            B2DPolygon aNewPart;
+                            PN* pPNCurr = &rPN;
+
+                            do
+                            {
+                                const B2DPoint& rPoint = pPNCurr->maPoint;
+                                aNewPart.append(rPoint);
+
+                                if(mbIsCurve)
+                                {
+                                    const VN& rVNCurr = maVNV[pPNCurr->mnI];
+
+                                    if(!rVNCurr.maPrev.equalZero())
+                                    {
+                                        aNewPart.setPrevControlPoint(aNewPart.count() - 1, rPoint + rVNCurr.maPrev);
+                                    }
+
+                                    if(!rVNCurr.maNext.equalZero())
+                                    {
+                                        aNewPart.setNextControlPoint(aNewPart.count() - 1, rPoint + rVNCurr.maNext);
+                                    }
+                                }
+
+                                pPNCurr->mnI = SAL_MAX_UINT32;
+                                nCountdown--;
+                                pPNCurr = &(maPNV[pPNCurr->mnIN]);
+                            }
+                            while(pPNCurr != &rPN && pPNCurr->mnI != SAL_MAX_UINT32);
+
+                            // close and add
+                            aNewPart.setClosed(true);
+                            aRetval.append(aNewPart);
+                        }
+                    }
+
+                    return aRetval;
+                }
+                else
+                {
+                    const sal_uInt32 nCorrectionSize(maCorrectionTable.size());
+
+                    // no change, return original
+                    if(!nCorrectionSize)
+                    {
+                        return maOriginal;
+                    }
+
+                    // apply coordinate corrections to ensure inside/outside correctness after solving
+                    const sal_uInt32 nPolygonCount(maOriginal.count());
+                    basegfx::B2DPolyPolygon aRetval(maOriginal);
+
+                    for(sal_uInt32 a(0); a < nPolygonCount; a++)
+                    {
+                        basegfx::B2DPolygon aTemp(aRetval.getB2DPolygon(a));
+                        const sal_uInt32 nPointCount(aTemp.count());
+                        bool bChanged(false);
+
+                        for(sal_uInt32 b(0); b < nPointCount; b++)
+                        {
+                            const basegfx::B2DPoint aCandidate(aTemp.getB2DPoint(b));
+
+                            for(sal_uInt32 c(0); c < nCorrectionSize; c++)
+                            {
+                                if(maCorrectionTable[c].first.getX() == aCandidate.getX() && maCorrectionTable[c].first.getY() == aCandidate.getY())
+                                {
+                                    aTemp.setB2DPoint(b, maCorrectionTable[c].second);
+                                    bChanged = true;
+                                }
+                            }
+                        }
+
+                        if(bChanged)
+                        {
+                            aRetval.setB2DPolygon(a, aTemp);
+                        }
+                    }
+
+                    return aRetval;
+                }
+            }
+        };
+
+    } // end of anonymous namespace
+} // end of namespace basegfx
+
+namespace basegfx::utils
+{
+
+        B2DPolyPolygon solveCrossovers(const B2DPolyPolygon& rCandidate, size_t* pPointLimit)
+        {
+            if(rCandidate.count() > 0)
+            {
+                solver aSolver(rCandidate, pPointLimit);
+                return aSolver.getB2DPolyPolygon();
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DPolyPolygon solveCrossovers(const B2DPolygon& rCandidate)
+        {
+            solver aSolver(rCandidate);
+            return aSolver.getB2DPolyPolygon();
+        }
+
+        B2DPolyPolygon stripNeutralPolygons(const B2DPolyPolygon& rCandidate)
+        {
+            B2DPolyPolygon aRetval;
+
+            for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+            {
+                const B2DPolygon& aCandidate(rCandidate.getB2DPolygon(a));
+
+                if(utils::getOrientation(aCandidate) != B2VectorOrientation::Neutral)
+                {
+                    aRetval.append(aCandidate);
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon createNonzeroConform(const B2DPolyPolygon& rCandidate)
+        {
+            if (rCandidate.count() > 1000)
+            {
+                SAL_WARN("basegfx", "this poly is too large, " << rCandidate.count() << " elements, to be able to process timeously, falling back to ignoring the winding rule, which is likely to cause rendering artifacts");
+                return rCandidate;
+            }
+
+            B2DPolyPolygon aCandidate;
+
+            // remove all self-intersections and intersections
+            if(rCandidate.count() == 1)
+            {
+                aCandidate = basegfx::utils::solveCrossovers(rCandidate.getB2DPolygon(0));
+            }
+            else
+            {
+                aCandidate = basegfx::utils::solveCrossovers(rCandidate);
+            }
+
+            // cleanup evtl. neutral polygons
+            aCandidate = basegfx::utils::stripNeutralPolygons(aCandidate);
+
+            // remove all polygons which have the same orientation as the polygon they are directly contained in
+            const sal_uInt32 nCount(aCandidate.count());
+
+            if(nCount > 1)
+            {
+                sal_uInt32 a, b;
+                std::vector< StripHelper > aHelpers;
+                aHelpers.resize(nCount);
+
+                for(a = 0; a < nCount; a++)
+                {
+                    const B2DPolygon& aCand(aCandidate.getB2DPolygon(a));
+                    StripHelper* pNewHelper = &(aHelpers[a]);
+                    pNewHelper->maRange = utils::getRange(aCand);
+                    pNewHelper->meOrinetation = utils::getOrientation(aCand);
+
+                    // initialize with own orientation
+                    pNewHelper->mnDepth = (pNewHelper->meOrinetation == B2VectorOrientation::Negative ? -1 : 1);
+                }
+
+                for(a = 0; a < nCount - 1; a++)
+                {
+                    const B2DPolygon& aCandA(aCandidate.getB2DPolygon(a));
+                    StripHelper& rHelperA = aHelpers[a];
+
+                    for(b = a + 1; b < nCount; b++)
+                    {
+                        const B2DPolygon& aCandB(aCandidate.getB2DPolygon(b));
+                        StripHelper& rHelperB = aHelpers[b];
+                        const bool bAInB(rHelperB.maRange.isInside(rHelperA.maRange) && utils::isInside(aCandB, aCandA, true));
+
+                        if(bAInB)
+                        {
+                            // A is inside B, add orientation of B to A
+                            rHelperA.mnDepth += (rHelperB.meOrinetation == B2VectorOrientation::Negative ? -1 : 1);
+                        }
+
+                        const bool bBInA(rHelperA.maRange.isInside(rHelperB.maRange) && utils::isInside(aCandA, aCandB, true));
+
+                        if(bBInA)
+                        {
+                            // B is inside A, add orientation of A to B
+                            rHelperB.mnDepth += (rHelperA.meOrinetation == B2VectorOrientation::Negative ? -1 : 1);
+                        }
+                    }
+                }
+
+                const B2DPolyPolygon aSource(aCandidate);
+                aCandidate.clear();
+
+                for(a = 0; a < nCount; a++)
+                {
+                    const StripHelper& rHelper = aHelpers[a];
+                    // for contained unequal oriented polygons sum will be 0
+                    // for contained equal it will be >=2 or <=-2
+                    // for free polygons (not contained) it will be 1 or -1
+                    // -> accept all which are >=-1 && <= 1
+                    bool bAcceptEntry(rHelper.mnDepth >= -1 && rHelper.mnDepth <= 1);
+
+                    if(bAcceptEntry)
+                    {
+                        aCandidate.append(aSource.getB2DPolygon(a));
+                    }
+                }
+            }
+
+            return aCandidate;
+        }
+
+        B2DPolyPolygon stripDispensablePolygons(const B2DPolyPolygon& rCandidate, bool bKeepAboveZero)
+        {
+            const sal_uInt32 nCount(rCandidate.count());
+            B2DPolyPolygon aRetval;
+
+            if(nCount)
+            {
+                if(nCount == 1)
+                {
+                    if(!bKeepAboveZero && utils::getOrientation(rCandidate.getB2DPolygon(0)) == B2VectorOrientation::Positive)
+                    {
+                        aRetval = rCandidate;
+                    }
+                }
+                else
+                {
+                    sal_uInt32 a, b;
+                    std::vector< StripHelper > aHelpers;
+                    aHelpers.resize(nCount);
+
+                    for(a = 0; a < nCount; a++)
+                    {
+                        const B2DPolygon& aCandidate(rCandidate.getB2DPolygon(a));
+                        StripHelper* pNewHelper = &(aHelpers[a]);
+                        pNewHelper->maRange = utils::getRange(aCandidate);
+                        pNewHelper->meOrinetation = utils::getOrientation(aCandidate);
+                        pNewHelper->mnDepth = (pNewHelper->meOrinetation == B2VectorOrientation::Negative ? -1 : 0);
+                    }
+
+                    for(a = 0; a < nCount - 1; a++)
+                    {
+                        const B2DPolygon& aCandA(rCandidate.getB2DPolygon(a));
+                        StripHelper& rHelperA = aHelpers[a];
+
+                        for(b = a + 1; b < nCount; b++)
+                        {
+                            const B2DPolygon& aCandB(rCandidate.getB2DPolygon(b));
+                            StripHelper& rHelperB = aHelpers[b];
+                            const bool bAInB(rHelperB.maRange.isInside(rHelperA.maRange) && utils::isInside(aCandB, aCandA, true));
+                            const bool bBInA(rHelperA.maRange.isInside(rHelperB.maRange) && utils::isInside(aCandA, aCandB, true));
+
+                            if(bAInB && bBInA)
+                            {
+                                // congruent
+                                if(rHelperA.meOrinetation == rHelperB.meOrinetation)
+                                {
+                                    // two polys or two holes. Lower one of them to get one of them out of the way.
+                                    // Since each will be contained in the other one, both will be increased, too.
+                                    // So, for lowering, increase only one of them
+                                    rHelperA.mnDepth++;
+                                }
+                                else
+                                {
+                                    // poly and hole. They neutralize, so get rid of both. Move securely below zero.
+                                    rHelperA.mnDepth = - static_cast<sal_Int32>(nCount);
+                                    rHelperB.mnDepth = - static_cast<sal_Int32>(nCount);
+                                }
+                            }
+                            else
+                            {
+                                if(bAInB)
+                                {
+                                    if(rHelperB.meOrinetation == B2VectorOrientation::Negative)
+                                    {
+                                        rHelperA.mnDepth--;
+                                    }
+                                    else
+                                    {
+                                        rHelperA.mnDepth++;
+                                    }
+                                }
+                                else if(bBInA)
+                                {
+                                    if(rHelperA.meOrinetation == B2VectorOrientation::Negative)
+                                    {
+                                        rHelperB.mnDepth--;
+                                    }
+                                    else
+                                    {
+                                        rHelperB.mnDepth++;
+                                    }
+                                }
+                            }
+                        }
+                    }
+
+                    for(a = 0; a < nCount; a++)
+                    {
+                        const StripHelper& rHelper = aHelpers[a];
+                        bool bAcceptEntry(bKeepAboveZero ? 1 <= rHelper.mnDepth : rHelper.mnDepth == 0);
+
+                        if(bAcceptEntry)
+                        {
+                            aRetval.append(rCandidate.getB2DPolygon(a));
+                        }
+                    }
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon prepareForPolygonOperation(const B2DPolygon& rCandidate)
+        {
+            solver aSolver(rCandidate);
+            B2DPolyPolygon aRetval(stripNeutralPolygons(aSolver.getB2DPolyPolygon()));
+
+            return correctOrientations(aRetval);
+        }
+
+        B2DPolyPolygon prepareForPolygonOperation(const B2DPolyPolygon& rCandidate)
+        {
+            solver aSolver(rCandidate);
+            B2DPolyPolygon aRetval(stripNeutralPolygons(aSolver.getB2DPolyPolygon()));
+
+            return correctOrientations(aRetval);
+        }
+
+        B2DPolyPolygon solvePolygonOperationOr(const B2DPolyPolygon& rCandidateA, const B2DPolyPolygon& rCandidateB)
+        {
+            if(!rCandidateA.count())
+            {
+                return rCandidateB;
+            }
+            else if(!rCandidateB.count())
+            {
+                return rCandidateA;
+            }
+            else
+            {
+                // concatenate polygons, solve crossovers and throw away all sub-polygons
+                // which have a depth other than 0.
+                B2DPolyPolygon aRetval(rCandidateA);
+
+                aRetval.append(rCandidateB);
+                aRetval = solveCrossovers(aRetval);
+                aRetval = stripNeutralPolygons(aRetval);
+
+                return stripDispensablePolygons(aRetval);
+            }
+        }
+
+        B2DPolyPolygon solvePolygonOperationXor(const B2DPolyPolygon& rCandidateA, const B2DPolyPolygon& rCandidateB)
+        {
+            if(!rCandidateA.count())
+            {
+                return rCandidateB;
+            }
+            else if(!rCandidateB.count())
+            {
+                return rCandidateA;
+            }
+            else
+            {
+                // XOR is pretty simple: By definition it is the simple concatenation of
+                // the single polygons since we imply XOR fill rule. Make it intersection-free
+                // and correct orientations
+                B2DPolyPolygon aRetval(rCandidateA);
+
+                aRetval.append(rCandidateB);
+                aRetval = solveCrossovers(aRetval);
+                aRetval = stripNeutralPolygons(aRetval);
+
+                return correctOrientations(aRetval);
+            }
+        }
+
+        B2DPolyPolygon solvePolygonOperationAnd(const B2DPolyPolygon& rCandidateA, const B2DPolyPolygon& rCandidateB)
+        {
+            if(!rCandidateA.count())
+            {
+                return B2DPolyPolygon();
+            }
+            else if(!rCandidateB.count())
+            {
+                return B2DPolyPolygon();
+            }
+            else
+            {
+                // tdf#130150 shortcut & precision: If both are simple ranges,
+                // solve based on ranges
+                if(basegfx::utils::isRectangle(rCandidateA) && basegfx::utils::isRectangle(rCandidateB))
+                {
+                    // *if* both are ranges, AND always can be solved
+                    const basegfx::B2DRange aRangeA(rCandidateA.getB2DRange());
+                    const basegfx::B2DRange aRangeB(rCandidateB.getB2DRange());
+
+                    if(aRangeA.isInside(aRangeB))
+                    {
+                        // 2nd completely inside 1st -> 2nd is result of AND
+                        return rCandidateB;
+                    }
+
+                    if(aRangeB.isInside(aRangeA))
+                    {
+                        // 2nd completely inside 1st -> 2nd is result of AND
+                        return rCandidateA;
+                    }
+
+                    // solve by intersection
+                    basegfx::B2DRange aIntersect(aRangeA);
+                    aIntersect.intersect(aRangeB);
+
+                    if(aIntersect.isEmpty())
+                    {
+                        // no overlap -> empty polygon as result of AND
+                        return B2DPolyPolygon();
+                    }
+
+                    // create polygon result
+                    return B2DPolyPolygon(
+                        basegfx::utils::createPolygonFromRect(
+                            aIntersect));
+                }
+
+                // concatenate polygons, solve crossovers and throw away all sub-polygons
+                // with a depth of < 1. This means to keep all polygons where at least two
+                // polygons do overlap.
+                B2DPolyPolygon aRetval(rCandidateA);
+
+                aRetval.append(rCandidateB);
+                aRetval = solveCrossovers(aRetval);
+                aRetval = stripNeutralPolygons(aRetval);
+
+                return stripDispensablePolygons(aRetval, true);
+            }
+        }
+
+        B2DPolyPolygon solvePolygonOperationDiff(const B2DPolyPolygon& rCandidateA, const B2DPolyPolygon& rCandidateB)
+        {
+            if(!rCandidateA.count())
+            {
+                return B2DPolyPolygon();
+            }
+            else if(!rCandidateB.count())
+            {
+                return rCandidateA;
+            }
+            else
+            {
+                // Make B topologically to holes and append to A
+                B2DPolyPolygon aRetval(rCandidateB);
+
+                aRetval.flip();
+                aRetval.append(rCandidateA);
+
+                // solve crossovers and throw away all sub-polygons which have a
+                // depth other than 0.
+                aRetval = basegfx::utils::solveCrossovers(aRetval);
+                aRetval = basegfx::utils::stripNeutralPolygons(aRetval);
+
+                return basegfx::utils::stripDispensablePolygons(aRetval);
+            }
+        }
+
+        B2DPolyPolygon mergeToSinglePolyPolygon(const B2DPolyPolygonVector& rInput)
+        {
+            if(rInput.empty())
+                return B2DPolyPolygon();
+
+            // first step: prepareForPolygonOperation and simple merge of non-overlapping
+            // PolyPolygons for speedup; this is possible for the wanted OR-operation
+            B2DPolyPolygonVector aResult;
+            aResult.reserve(rInput.size());
+
+            for(const basegfx::B2DPolyPolygon & a : rInput)
+            {
+                const basegfx::B2DPolyPolygon aCandidate(prepareForPolygonOperation(a));
+
+                if(!aResult.empty())
+                {
+                    const B2DRange aCandidateRange(aCandidate.getB2DRange());
+                    bool bCouldMergeSimple(false);
+
+                    for(auto & b: aResult)
+                    {
+                        basegfx::B2DPolyPolygon aTarget(b);
+                        const B2DRange aTargetRange(aTarget.getB2DRange());
+
+                        if(!aCandidateRange.overlaps(aTargetRange))
+                        {
+                            aTarget.append(aCandidate);
+                            b = aTarget;
+                            bCouldMergeSimple = true;
+                            break;
+                        }
+                    }
+
+                    if(!bCouldMergeSimple)
+                    {
+                        aResult.push_back(aCandidate);
+                    }
+                }
+                else
+                {
+                    aResult.push_back(aCandidate);
+                }
+            }
+
+            // second step: melt pairwise to a single PolyPolygon
+            while(aResult.size() > 1)
+            {
+                B2DPolyPolygonVector aResult2;
+                aResult2.reserve((aResult.size() / 2) + 1);
+
+                for(size_t a(0); a < aResult.size(); a += 2)
+                {
+                    if(a + 1 < aResult.size())
+                    {
+                        // a pair for processing
+                        aResult2.push_back(solvePolygonOperationOr(aResult[a], aResult[a + 1]));
+                    }
+                    else
+                    {
+                        // last single PolyPolygon; copy to target to not lose it
+                        aResult2.push_back(aResult[a]);
+                    }
+                }
+
+                aResult = aResult2;
+            }
+
+            // third step: get result
+            if(aResult.size() == 1)
+            {
+                return aResult[0];
+            }
+
+            return B2DPolyPolygon();
+        }
+
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dpolypolygontools.cxx b/basegfx/source/polygon/b2dpolypolygontools.cxx
new file mode 100644
index 000000000..b49de907d
--- /dev/null
+++ b/basegfx/source/polygon/b2dpolypolygontools.cxx
@@ -0,0 +1,656 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <basegfx/polygon/b2dpolypolygontools.hxx>
+#include <osl/diagnose.h>
+#include <com/sun/star/drawing/PolyPolygonBezierCoords.hpp>
+#include <basegfx/polygon/b2dpolypolygon.hxx>
+#include <basegfx/polygon/b2dpolygon.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <basegfx/numeric/ftools.hxx>
+#include <rtl/math.hxx>
+
+#include <algorithm>
+#include <numeric>
+
+namespace basegfx::utils
+{
+        B2DPolyPolygon correctOrientations(const B2DPolyPolygon& rCandidate)
+        {
+            B2DPolyPolygon aRetval(rCandidate);
+            const sal_uInt32 nCount(aRetval.count());
+
+            for(sal_uInt32 a(0); a < nCount; a++)
+            {
+                const B2DPolygon& aCandidate(rCandidate.getB2DPolygon(a));
+                const B2VectorOrientation aOrientation(utils::getOrientation(aCandidate));
+                sal_uInt32 nDepth(0);
+
+                for(sal_uInt32 b(0); b < nCount; b++)
+                {
+                    if(b != a)
+                    {
+                        const B2DPolygon& aCompare(rCandidate.getB2DPolygon(b));
+
+                        if(utils::isInside(aCompare, aCandidate, true))
+                        {
+                            nDepth++;
+                        }
+                    }
+                }
+
+                const bool bShallBeHole((nDepth & 0x00000001) == 1);
+                const bool bIsHole(aOrientation == B2VectorOrientation::Negative);
+
+                if(bShallBeHole != bIsHole && aOrientation != B2VectorOrientation::Neutral)
+                {
+                    B2DPolygon aFlipped(aCandidate);
+                    aFlipped.flip();
+                    aRetval.setB2DPolygon(a, aFlipped);
+                }
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon correctOutmostPolygon(const B2DPolyPolygon& rCandidate)
+        {
+            const sal_uInt32 nCount(rCandidate.count());
+
+            if(nCount > 1)
+            {
+                for(sal_uInt32 a(0); a < nCount; a++)
+                {
+                    const B2DPolygon& aCandidate(rCandidate.getB2DPolygon(a));
+                    sal_uInt32 nDepth(0);
+
+                    for(sal_uInt32 b(0); b < nCount; b++)
+                    {
+                        if(b != a)
+                        {
+                            const B2DPolygon& aCompare(rCandidate.getB2DPolygon(b));
+
+                            if(utils::isInside(aCompare, aCandidate, true))
+                            {
+                                nDepth++;
+                            }
+                        }
+                    }
+
+                    if(!nDepth)
+                    {
+                        B2DPolyPolygon aRetval(rCandidate);
+
+                        if(a != 0)
+                        {
+                            // exchange polygon a and polygon 0
+                            aRetval.setB2DPolygon(0, aCandidate);
+                            aRetval.setB2DPolygon(a, rCandidate.getB2DPolygon(0));
+                        }
+
+                        // exit
+                        return aRetval;
+                    }
+                }
+            }
+
+            return rCandidate;
+        }
+
+        B2DPolyPolygon adaptiveSubdivideByDistance(const B2DPolyPolygon& rCandidate, double fDistanceBound)
+        {
+            if(rCandidate.areControlPointsUsed())
+            {
+                B2DPolyPolygon aRetval;
+
+                for(auto const& rPolygon : rCandidate)
+                {
+                    if(rPolygon.areControlPointsUsed())
+                    {
+                        aRetval.append(utils::adaptiveSubdivideByDistance(rPolygon, fDistanceBound));
+                    }
+                    else
+                    {
+                        aRetval.append(rPolygon);
+                    }
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DPolyPolygon adaptiveSubdivideByAngle(const B2DPolyPolygon& rCandidate, double fAngleBound)
+        {
+            if(rCandidate.areControlPointsUsed())
+            {
+                B2DPolyPolygon aRetval;
+
+                for(auto const& rPolygon : rCandidate)
+                {
+                    if(rPolygon.areControlPointsUsed())
+                    {
+                        aRetval.append(utils::adaptiveSubdivideByAngle(rPolygon, fAngleBound));
+                    }
+                    else
+                    {
+                        aRetval.append(rPolygon);
+                    }
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        bool isInside(const B2DPolyPolygon& rCandidate, const B2DPoint& rPoint, bool bWithBorder)
+        {
+            if(rCandidate.count() == 1)
+            {
+                return isInside(rCandidate.getB2DPolygon(0), rPoint, bWithBorder);
+            }
+            else
+            {
+                sal_Int32 nInsideCount = std::count_if(rCandidate.begin(), rCandidate.end(), [rPoint, bWithBorder](B2DPolygon polygon){ return isInside(polygon, rPoint, bWithBorder); });
+
+                return (nInsideCount % 2);
+            }
+        }
+
+        B2DRange getRange(const B2DPolyPolygon& rCandidate)
+        {
+            B2DRange aRetval;
+
+            for(auto const& rPolygon : rCandidate)
+            {
+                aRetval.expand(utils::getRange(rPolygon));
+            }
+
+            return aRetval;
+        }
+
+        double getSignedArea(const B2DPolyPolygon& rCandidate)
+        {
+            double fRetval(0.0);
+
+            for(auto const& rPolygon : rCandidate)
+            {
+                fRetval += utils::getSignedArea(rPolygon);
+            }
+
+            return fRetval;
+        }
+
+        double getArea(const B2DPolyPolygon& rCandidate)
+        {
+            return fabs(getSignedArea(rCandidate));
+        }
+
+        void applyLineDashing(const B2DPolyPolygon& rCandidate, const std::vector<double>& rDotDashArray, B2DPolyPolygon* pLineTarget, double fFullDashDotLen)
+        {
+            if(fFullDashDotLen == 0.0 && !rDotDashArray.empty())
+            {
+                // calculate fFullDashDotLen from rDotDashArray
+                fFullDashDotLen = std::accumulate(rDotDashArray.begin(), rDotDashArray.end(), 0.0);
+            }
+
+            if(!(rCandidate.count() && fFullDashDotLen > 0.0))
+                return;
+
+            B2DPolyPolygon aLineTarget;
+
+            for(auto const& rPolygon : rCandidate)
+            {
+                applyLineDashing(
+                    rPolygon,
+                    rDotDashArray,
+                    pLineTarget ? &aLineTarget : nullptr,
+                    nullptr,
+                    fFullDashDotLen);
+
+                if(pLineTarget)
+                {
+                    pLineTarget->append(aLineTarget);
+                }
+            }
+        }
+
+        bool isInEpsilonRange(const B2DPolyPolygon& rCandidate, const B2DPoint& rTestPosition, double fDistance)
+        {
+            for(auto const& rPolygon : rCandidate)
+            {
+                if(isInEpsilonRange(rPolygon, rTestPosition, fDistance))
+                {
+                    return true;
+                }
+            }
+
+            return false;
+        }
+
+        B3DPolyPolygon createB3DPolyPolygonFromB2DPolyPolygon(const B2DPolyPolygon& rCandidate, double fZCoordinate)
+        {
+            B3DPolyPolygon aRetval;
+
+            for(auto const& rPolygon : rCandidate)
+            {
+                aRetval.append(createB3DPolygonFromB2DPolygon(rPolygon, fZCoordinate));
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon createB2DPolyPolygonFromB3DPolyPolygon(const B3DPolyPolygon& rCandidate, const B3DHomMatrix& rMat)
+        {
+            B2DPolyPolygon aRetval;
+
+            for(auto const& rPolygon : rCandidate)
+            {
+                aRetval.append(createB2DPolygonFromB3DPolygon(rPolygon, rMat));
+            }
+
+            return aRetval;
+        }
+
+        double getSmallestDistancePointToPolyPolygon(const B2DPolyPolygon& rCandidate, const B2DPoint& rTestPoint, sal_uInt32& rPolygonIndex, sal_uInt32& rEdgeIndex, double& rCut)
+        {
+            double fRetval(DBL_MAX);
+            const double fZero(0.0);
+            const sal_uInt32 nPolygonCount(rCandidate.count());
+
+            for(sal_uInt32 a(0); a < nPolygonCount; a++)
+            {
+                const B2DPolygon& aCandidate(rCandidate.getB2DPolygon(a));
+                sal_uInt32 nNewEdgeIndex;
+                double fNewCut(0.0);
+                const double fNewDistance(getSmallestDistancePointToPolygon(aCandidate, rTestPoint, nNewEdgeIndex, fNewCut));
+
+                if(fRetval == DBL_MAX || fNewDistance < fRetval)
+                {
+                    fRetval = fNewDistance;
+                    rPolygonIndex = a;
+                    rEdgeIndex = nNewEdgeIndex;
+                    rCut = fNewCut;
+
+                    if(fTools::equal(fRetval, fZero))
+                    {
+                        // already found zero distance, cannot get better. Ensure numerical zero value and end loop.
+                        fRetval = 0.0;
+                        break;
+                    }
+                }
+            }
+
+            return fRetval;
+        }
+
+        B2DPolyPolygon distort(const B2DPolyPolygon& rCandidate, const B2DRange& rOriginal, const B2DPoint& rTopLeft, const B2DPoint& rTopRight, const B2DPoint& rBottomLeft, const B2DPoint& rBottomRight)
+        {
+            B2DPolyPolygon aRetval;
+
+            for(auto const& rPolygon : rCandidate)
+            {
+                aRetval.append(distort(rPolygon, rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight));
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon expandToCurve(const B2DPolyPolygon& rCandidate)
+        {
+            B2DPolyPolygon aRetval;
+
+            for(auto const& rPolygon : rCandidate)
+            {
+                aRetval.append(expandToCurve(rPolygon));
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon growInNormalDirection(const B2DPolyPolygon& rCandidate, double fValue)
+        {
+            if(fValue != 0.0)
+            {
+                B2DPolyPolygon aRetval;
+
+                for(auto const& rPolygon : rCandidate)
+                {
+                    aRetval.append(growInNormalDirection(rPolygon, fValue));
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DPolyPolygon reSegmentPolyPolygon(const B2DPolyPolygon& rCandidate, sal_uInt32 nSegments)
+        {
+            B2DPolyPolygon aRetval;
+
+            for(auto const& rPolygon : rCandidate)
+            {
+                aRetval.append(reSegmentPolygon(rPolygon, nSegments));
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon interpolate(const B2DPolyPolygon& rOld1, const B2DPolyPolygon& rOld2, double t)
+        {
+            OSL_ENSURE(rOld1.count() == rOld2.count(), "B2DPolyPolygon interpolate: Different geometry (!)");
+            B2DPolyPolygon aRetval;
+
+            for(sal_uInt32 a(0); a < rOld1.count(); a++)
+            {
+                aRetval.append(interpolate(rOld1.getB2DPolygon(a), rOld2.getB2DPolygon(a), t));
+            }
+
+            return aRetval;
+        }
+
+        bool isRectangle( const B2DPolyPolygon& rPoly )
+        {
+            // exclude some cheap cases first
+            if( rPoly.count() != 1 )
+                return false;
+
+            return isRectangle( rPoly.getB2DPolygon(0) );
+        }
+
+        // #i76891#
+        B2DPolyPolygon simplifyCurveSegments(const B2DPolyPolygon& rCandidate)
+        {
+            if(rCandidate.areControlPointsUsed())
+            {
+                B2DPolyPolygon aRetval;
+
+                for(auto const& rPolygon : rCandidate)
+                {
+                    aRetval.append(simplifyCurveSegments(rPolygon));
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+        B2DPolyPolygon snapPointsOfHorizontalOrVerticalEdges(const B2DPolyPolygon& rCandidate)
+        {
+            B2DPolyPolygon aRetval;
+
+            for(auto const& rPolygon : rCandidate)
+            {
+                aRetval.append(snapPointsOfHorizontalOrVerticalEdges(rPolygon));
+            }
+
+            return aRetval;
+        }
+
+        B2DPolyPolygon createSevenSegmentPolyPolygon(char nNumber, bool bLitSegments)
+        {
+            // config here
+            // {
+            const double fTotalSize=1.0;
+            const double fPosMiddleSegment=0.6;
+            const double fSegmentEndChopHoriz=0.08;
+            const double fSegmentEndChopVert =0.04;
+            // }
+            // config here
+
+            const double fLeft=0.0;
+            const double fRight=fTotalSize;
+            const double fTop=0.0;
+            const double fMiddle=fPosMiddleSegment;
+            const double fBottom=fTotalSize;
+
+            // from 0 to 5: pair of segment corner coordinates
+
+            // segment corner indices are these:
+
+            //   0 - 1
+            //   |   |
+            //   2 - 3
+            //   |   |
+            //   4 - 5
+
+            static const double corners[] =
+            {
+                fLeft,  fTop,
+                fRight, fTop,
+                fLeft,  fMiddle,
+                fRight, fMiddle,
+                fLeft,  fBottom,
+                fRight, fBottom
+            };
+
+            // from 0 to 9: which segments are 'lit' for this number?
+
+            // array denotes graph edges to traverse, with -1 means
+            // stop (the vertices are the corner indices from above):
+            //     0
+            //     -
+            // 1 |   | 2
+            //     - 3
+            // 4 |   | 5
+            //     -
+            //     6
+
+            static const int numbers[] =
+            {
+                1, 1, 1, 0, 1, 1, 1, // 0
+                0, 0, 1, 0, 0, 1, 0, // 1
+                1, 0, 1, 1, 1, 0, 1, // 2
+                1, 0, 1, 1, 0, 1, 1, // 3
+                0, 1, 1, 1, 0, 1, 0, // 4
+                1, 1, 0, 1, 0, 1, 1, // 5
+                1, 1, 0, 1, 1, 1, 1, // 6
+                1, 0, 1, 0, 0, 1, 0, // 1
+                1, 1, 1, 1, 1, 1, 1, // 8
+                1, 1, 1, 1, 0, 1, 1, // 9
+                0, 0, 0, 1, 0, 0, 0, // '-'
+                1, 1, 0, 1, 1, 0, 1, // 'E'
+            };
+
+            // maps segment index to two corner ids:
+            static const int index2corner[] =
+            {
+                0, 2,  // 0
+                0, 4,  // 1
+                2, 6,  // 2
+                4, 6,  // 3
+                4, 8,  // 4
+                6, 10, // 5
+                8, 10, // 6
+            };
+
+            B2DPolyPolygon aRes;
+            if( nNumber == '-' )
+            {
+                nNumber = 10;
+            }
+            else if( nNumber == 'E' )
+            {
+                nNumber = 11;
+            }
+            else if( nNumber == '.' )
+            {
+                if( bLitSegments )
+                    aRes.append(createPolygonFromCircle(B2DPoint(fTotalSize/2, fTotalSize),
+                                                        fSegmentEndChopHoriz));
+                return aRes;
+            }
+            else
+            {
+                nNumber=std::clamp<sal_uInt32>(nNumber,'0','9') - '0';
+            }
+
+            B2DPolygon aCurrSegment;
+            const size_t sliceSize=std::size(numbers)/12;
+            const int* pCurrSegment=numbers + nNumber*sliceSize;
+            for( size_t i=0; i<sliceSize; i++, pCurrSegment++)
+            {
+                if( !(*pCurrSegment ^ int(bLitSegments)) )
+                {
+                    const size_t j=2*i;
+                    aCurrSegment.clear();
+                    B2DPoint start(corners[index2corner[j]],
+                                   corners[index2corner[j]+1]  );
+                    B2DPoint end  (corners[index2corner[j+1]],
+                                   corners[index2corner[j+1]+1]);
+
+                    if( rtl::math::approxEqual(start.getX(), end.getX()) )
+                    {
+                        start.setY(start.getY()+fSegmentEndChopVert);
+                        end.setY(end.getY()-fSegmentEndChopVert);
+                    }
+                    else
+                    {
+                        start.setX(start.getX()+fSegmentEndChopHoriz);
+                        end.setX(end.getX()-fSegmentEndChopHoriz);
+                    }
+
+                    aCurrSegment.append(start);
+                    aCurrSegment.append(end);
+                }
+                aRes.append(aCurrSegment);
+            }
+
+            return aRes;
+        }
+
+        // converters for css::drawing::PointSequence
+
+        B2DPolyPolygon UnoPointSequenceSequenceToB2DPolyPolygon(
+            const css::drawing::PointSequenceSequence& rPointSequenceSequenceSource)
+        {
+            B2DPolyPolygon aRetval;
+            const css::drawing::PointSequence* pPointSequence = rPointSequenceSequenceSource.getConstArray();
+            const css::drawing::PointSequence* pPointSeqEnd = pPointSequence + rPointSequenceSequenceSource.getLength();
+
+            for(;pPointSequence != pPointSeqEnd; pPointSequence++)
+            {
+                const B2DPolygon aNewPolygon = UnoPointSequenceToB2DPolygon(*pPointSequence);
+                aRetval.append(aNewPolygon);
+            }
+
+            return aRetval;
+        }
+
+        void B2DPolyPolygonToUnoPointSequenceSequence(
+            const B2DPolyPolygon& rPolyPolygon,
+            css::drawing::PointSequenceSequence& rPointSequenceSequenceRetval)
+        {
+            const sal_uInt32 nCount(rPolyPolygon.count());
+
+            if(nCount)
+            {
+                rPointSequenceSequenceRetval.realloc(nCount);
+                css::drawing::PointSequence* pPointSequence = rPointSequenceSequenceRetval.getArray();
+
+                for(auto const& rPolygon : rPolyPolygon)
+                {
+                    B2DPolygonToUnoPointSequence(rPolygon, *pPointSequence);
+                    pPointSequence++;
+                }
+            }
+            else
+            {
+                rPointSequenceSequenceRetval.realloc(0);
+            }
+        }
+
+        // converters for css::drawing::PolyPolygonBezierCoords (curved polygons)
+
+        B2DPolyPolygon UnoPolyPolygonBezierCoordsToB2DPolyPolygon(
+            const css::drawing::PolyPolygonBezierCoords& rPolyPolygonBezierCoordsSource)
+        {
+            B2DPolyPolygon aRetval;
+            const sal_uInt32 nSequenceCount(static_cast<sal_uInt32>(rPolyPolygonBezierCoordsSource.Coordinates.getLength()));
+
+            if(nSequenceCount)
+            {
+                OSL_ENSURE(nSequenceCount == static_cast<sal_uInt32>(rPolyPolygonBezierCoordsSource.Flags.getLength()),
+                    "UnoPolyPolygonBezierCoordsToB2DPolyPolygon: unequal number of Points and Flags (!)");
+                const css::drawing::PointSequence* pPointSequence = rPolyPolygonBezierCoordsSource.Coordinates.getConstArray();
+                const css::drawing::FlagSequence* pFlagSequence = rPolyPolygonBezierCoordsSource.Flags.getConstArray();
+
+                for(sal_uInt32 a(0); a < nSequenceCount; a++)
+                {
+                    const B2DPolygon aNewPolygon(UnoPolygonBezierCoordsToB2DPolygon(
+                        *pPointSequence,
+                        *pFlagSequence));
+
+                    pPointSequence++;
+                    pFlagSequence++;
+                    aRetval.append(aNewPolygon);
+                }
+            }
+
+            return aRetval;
+        }
+
+        void B2DPolyPolygonToUnoPolyPolygonBezierCoords(
+            const B2DPolyPolygon& rPolyPolygon,
+            css::drawing::PolyPolygonBezierCoords& rPolyPolygonBezierCoordsRetval)
+        {
+            const sal_uInt32 nCount(rPolyPolygon.count());
+
+            if(nCount)
+            {
+                // prepare return value memory
+                rPolyPolygonBezierCoordsRetval.Coordinates.realloc(static_cast<sal_Int32>(nCount));
+                rPolyPolygonBezierCoordsRetval.Flags.realloc(static_cast<sal_Int32>(nCount));
+
+                // get pointers to arrays
+                css::drawing::PointSequence* pPointSequence = rPolyPolygonBezierCoordsRetval.Coordinates.getArray();
+                css::drawing::FlagSequence*  pFlagSequence = rPolyPolygonBezierCoordsRetval.Flags.getArray();
+
+                for(auto const& rSource : rPolyPolygon)
+                {
+                    B2DPolygonToUnoPolygonBezierCoords(
+                        rSource,
+                        *pPointSequence,
+                        *pFlagSequence);
+                    pPointSequence++;
+                    pFlagSequence++;
+                }
+            }
+            else
+            {
+                rPolyPolygonBezierCoordsRetval.Coordinates.realloc(0);
+                rPolyPolygonBezierCoordsRetval.Flags.realloc(0);
+            }
+        }
+
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dsvgpolypolygon.cxx b/basegfx/source/polygon/b2dsvgpolypolygon.cxx
new file mode 100644
index 000000000..aa0fedb2d
--- /dev/null
+++ b/basegfx/source/polygon/b2dsvgpolypolygon.cxx
@@ -0,0 +1,931 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <basegfx/polygon/b2dpolypolygontools.hxx>
+#include <basegfx/polygon/b2dpolypolygon.hxx>
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <basegfx/matrix/b2dhommatrixtools.hxx>
+
+#include <rtl/ustring.hxx>
+#include <sal/log.hxx>
+#include <rtl/math.hxx>
+#include <rtl/character.hxx>
+#include <stringconversiontools.hxx>
+
+namespace
+{
+
+void putCommandChar(OUStringBuffer& rBuffer,sal_Unicode& rLastSVGCommand, sal_Unicode aChar, bool bToLower,bool bVerbose)
+{
+    const sal_Unicode aCommand = bToLower ? rtl::toAsciiLowerCase(aChar) : aChar;
+
+    if (bVerbose && rBuffer.getLength())
+        rBuffer.append(' ');
+
+    if (bVerbose || rLastSVGCommand != aCommand)
+    {
+        rBuffer.append(aCommand);
+        rLastSVGCommand = aCommand;
+    }
+}
+
+void putNumberChar(OUStringBuffer& rStr,double fValue, double fOldValue, bool bUseRelativeCoordinates,bool bVerbose)
+{
+    if (bUseRelativeCoordinates)
+        fValue -= fOldValue;
+
+    const sal_Int32 aLen(rStr.getLength());
+    if (bVerbose || (aLen && basegfx::internal::isOnNumberChar(rStr[aLen - 1], false) && fValue >= 0.0))
+        rStr.append(' ');
+
+    rStr.append(fValue);
+}
+
+}
+
+namespace basegfx::utils
+{
+        bool PointIndex::operator<(const PointIndex& rComp) const
+        {
+            if(rComp.getPolygonIndex() == getPolygonIndex())
+            {
+                return rComp.getPointIndex() < getPointIndex();
+            }
+
+            return rComp.getPolygonIndex() < getPolygonIndex();
+        }
+
+        bool importFromSvgD(
+            B2DPolyPolygon& o_rPolyPolygon,
+            std::u16string_view rSvgDStatement,
+            bool bHandleRelativeNextPointCompatible,
+            PointIndexSet* pHelpPointIndexSet)
+        {
+            o_rPolyPolygon.clear();
+            const sal_Int32 nLen(rSvgDStatement.size());
+            sal_Int32 nPos(0);
+            double nLastX( 0.0 );
+            double nLastY( 0.0 );
+            B2DPolygon aCurrPoly;
+
+            // skip initial whitespace
+            basegfx::internal::skipSpaces(nPos, rSvgDStatement, nLen);
+
+            while(nPos < nLen)
+            {
+                bool bRelative(false);
+                const sal_Unicode aCurrChar(rSvgDStatement[nPos]);
+
+                if(o_rPolyPolygon.count() && !aCurrPoly.count() && aCurrChar != 'm' && aCurrChar != 'M')
+                {
+                    // we have a new sub-polygon starting, but without a 'moveto' command.
+                    // this requires to add the current point as start point to the polygon
+                    // (see SVG1.1 8.3.3 The "closepath" command)
+                    aCurrPoly.append(B2DPoint(nLastX, nLastY));
+                }
+
+                switch(aCurrChar)
+                {
+                    case 'z' :
+                    case 'Z' :
+                    {
+                        // consume CurrChar and whitespace
+                        nPos++;
+                        basegfx::internal::skipSpaces(nPos, rSvgDStatement, nLen);
+
+                        // create closed polygon and reset import values
+                        if(aCurrPoly.count())
+                        {
+                            if(!bHandleRelativeNextPointCompatible)
+                            {
+                                // SVG defines that "the next subpath starts at the
+                                // same initial point as the current subpath", so set the
+                                // current point if we do not need to be compatible
+                                nLastX = aCurrPoly.getB2DPoint(0).getX();
+                                nLastY = aCurrPoly.getB2DPoint(0).getY();
+                            }
+
+                            aCurrPoly.setClosed(true);
+                            o_rPolyPolygon.append(aCurrPoly);
+                            aCurrPoly.clear();
+                        }
+
+                        break;
+                    }
+
+                    case 'm' :
+                    case 'M' :
+                    {
+                        // create non-closed polygon and reset import values
+                        if(aCurrPoly.count())
+                        {
+                            o_rPolyPolygon.append(aCurrPoly);
+                            aCurrPoly.clear();
+                        }
+                        [[fallthrough]]; // to add coordinate data as 1st point of new polygon
+                    }
+                    case 'l' :
+                    case 'L' :
+                    {
+                        if(aCurrChar == 'm' || aCurrChar == 'l')
+                        {
+                            bRelative = true;
+                        }
+
+                        // consume CurrChar and whitespace
+                        nPos++;
+                        basegfx::internal::skipSpaces(nPos, rSvgDStatement, nLen);
+
+                        while(nPos < nLen && basegfx::internal::isOnNumberChar(rSvgDStatement, nPos))
+                        {
+                            double nX, nY;
+
+                            if(!basegfx::internal::importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
+
+                            if(bRelative)
+                            {
+                                nX += nLastX;
+                                nY += nLastY;
+                            }
+
+                            // set last position
+                            nLastX = nX;
+                            nLastY = nY;
+
+                            // add point
+                            aCurrPoly.append(B2DPoint(nX, nY));
+                        }
+                        break;
+                    }
+
+                    case 'h' :
+                    {
+                        bRelative = true;
+                        [[fallthrough]];
+                    }
+                    case 'H' :
+                    {
+                        nPos++;
+                        basegfx::internal::skipSpaces(nPos, rSvgDStatement, nLen);
+
+                        while(nPos < nLen && basegfx::internal::isOnNumberChar(rSvgDStatement, nPos))
+                        {
+                            double nX, nY(nLastY);
+
+                            if(!basegfx::internal::importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
+
+                            if(bRelative)
+                            {
+                                nX += nLastX;
+                            }
+
+                            // set last position
+                            nLastX = nX;
+
+                            // add point
+                            aCurrPoly.append(B2DPoint(nX, nY));
+                        }
+                        break;
+                    }
+
+                    case 'v' :
+                    {
+                        bRelative = true;
+                        [[fallthrough]];
+                    }
+                    case 'V' :
+                    {
+                        nPos++;
+                        basegfx::internal::skipSpaces(nPos, rSvgDStatement, nLen);
+
+                        while(nPos < nLen && basegfx::internal::isOnNumberChar(rSvgDStatement, nPos))
+                        {
+                            double nX(nLastX), nY;
+
+                            if(!basegfx::internal::importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
+
+                            if(bRelative)
+                            {
+                                nY += nLastY;
+                            }
+
+                            // set last position
+                            nLastY = nY;
+
+                            // add point
+                            aCurrPoly.append(B2DPoint(nX, nY));
+                        }
+                        break;
+                    }
+
+                    case 's' :
+                    {
+                        bRelative = true;
+                        [[fallthrough]];
+                    }
+                    case 'S' :
+                    {
+                        nPos++;
+                        basegfx::internal::skipSpaces(nPos, rSvgDStatement, nLen);
+
+                        while(nPos < nLen && basegfx::internal::isOnNumberChar(rSvgDStatement, nPos))
+                        {
+                            double nX, nY;
+                            double nX2, nY2;
+
+                            if(!basegfx::internal::importDoubleAndSpaces(nX2, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nY2, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
+
+                            if(bRelative)
+                            {
+                                nX2 += nLastX;
+                                nY2 += nLastY;
+                                nX += nLastX;
+                                nY += nLastY;
+                            }
+
+                            // ensure existence of start point
+                            if(!aCurrPoly.count())
+                            {
+                                aCurrPoly.append(B2DPoint(nLastX, nLastY));
+                            }
+
+                            // get first control point. It's the reflection of the PrevControlPoint
+                            // of the last point. If not existent, use current point (see SVG)
+                            B2DPoint aPrevControl(B2DPoint(nLastX, nLastY));
+                            const sal_uInt32 nIndex(aCurrPoly.count() - 1);
+
+                            if(aCurrPoly.areControlPointsUsed() && aCurrPoly.isPrevControlPointUsed(nIndex))
+                            {
+                                const B2DPoint aPrevPoint(aCurrPoly.getB2DPoint(nIndex));
+                                const B2DPoint aPrevControlPoint(aCurrPoly.getPrevControlPoint(nIndex));
+
+                                // use mirrored previous control point
+                                aPrevControl.setX((2.0 * aPrevPoint.getX()) - aPrevControlPoint.getX());
+                                aPrevControl.setY((2.0 * aPrevPoint.getY()) - aPrevControlPoint.getY());
+                            }
+
+                            // append curved edge
+                            aCurrPoly.appendBezierSegment(aPrevControl, B2DPoint(nX2, nY2), B2DPoint(nX, nY));
+
+                            // set last position
+                            nLastX = nX;
+                            nLastY = nY;
+                        }
+                        break;
+                    }
+
+                    case 'c' :
+                    {
+                        bRelative = true;
+                        [[fallthrough]];
+                    }
+                    case 'C' :
+                    {
+                        nPos++;
+                        basegfx::internal::skipSpaces(nPos, rSvgDStatement, nLen);
+
+                        while(nPos < nLen && basegfx::internal::isOnNumberChar(rSvgDStatement, nPos))
+                        {
+                            double nX, nY;
+                            double nX1, nY1;
+                            double nX2, nY2;
+
+                            if(!basegfx::internal::importDoubleAndSpaces(nX1, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nY1, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nX2, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nY2, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
+
+                            if(bRelative)
+                            {
+                                nX1 += nLastX;
+                                nY1 += nLastY;
+                                nX2 += nLastX;
+                                nY2 += nLastY;
+                                nX += nLastX;
+                                nY += nLastY;
+                            }
+
+                            // ensure existence of start point
+                            if(!aCurrPoly.count())
+                            {
+                                aCurrPoly.append(B2DPoint(nLastX, nLastY));
+                            }
+
+                            // append curved edge
+                            aCurrPoly.appendBezierSegment(B2DPoint(nX1, nY1), B2DPoint(nX2, nY2), B2DPoint(nX, nY));
+
+                            // set last position
+                            nLastX = nX;
+                            nLastY = nY;
+                        }
+                        break;
+                    }
+
+                    // #100617# quadratic beziers are imported as cubic ones
+                    case 'q' :
+                    {
+                        bRelative = true;
+                        [[fallthrough]];
+                    }
+                    case 'Q' :
+                    {
+                        nPos++;
+                        basegfx::internal::skipSpaces(nPos, rSvgDStatement, nLen);
+
+                        while(nPos < nLen && basegfx::internal::isOnNumberChar(rSvgDStatement, nPos))
+                        {
+                            double nX, nY;
+                            double nX1, nY1;
+
+                            if(!basegfx::internal::importDoubleAndSpaces(nX1, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nY1, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
+
+                            if(bRelative)
+                            {
+                                nX1 += nLastX;
+                                nY1 += nLastY;
+                                nX += nLastX;
+                                nY += nLastY;
+                            }
+
+                            // ensure existence of start point
+                            if(!aCurrPoly.count())
+                            {
+                                aCurrPoly.append(B2DPoint(nLastX, nLastY));
+                            }
+
+                            // append curved edge
+                            aCurrPoly.appendQuadraticBezierSegment(B2DPoint(nX1, nY1), B2DPoint(nX, nY));
+
+                            // set last position
+                            nLastX = nX;
+                            nLastY = nY;
+                        }
+                        break;
+                    }
+
+                    // #100617# relative quadratic beziers are imported as cubic
+                    case 't' :
+                    {
+                        bRelative = true;
+                        [[fallthrough]];
+                    }
+                    case 'T' :
+                    {
+                        nPos++;
+                        basegfx::internal::skipSpaces(nPos, rSvgDStatement, nLen);
+
+                        while(nPos < nLen && basegfx::internal::isOnNumberChar(rSvgDStatement, nPos))
+                        {
+                            double nX, nY;
+
+                            if(!basegfx::internal::importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
+
+                            if(bRelative)
+                            {
+                                nX += nLastX;
+                                nY += nLastY;
+                            }
+
+                            // ensure existence of start point
+                            if(!aCurrPoly.count())
+                            {
+                                aCurrPoly.append(B2DPoint(nLastX, nLastY));
+                            }
+
+                            // get first control point. It's the reflection of the PrevControlPoint
+                            // of the last point. If not existent, use current point (see SVG)
+                            B2DPoint aPrevControl(B2DPoint(nLastX, nLastY));
+                            const sal_uInt32 nIndex(aCurrPoly.count() - 1);
+                            const B2DPoint aPrevPoint(aCurrPoly.getB2DPoint(nIndex));
+
+                            if(aCurrPoly.areControlPointsUsed() && aCurrPoly.isPrevControlPointUsed(nIndex))
+                            {
+                                const B2DPoint aPrevControlPoint(aCurrPoly.getPrevControlPoint(nIndex));
+
+                                // use mirrored previous control point
+                                aPrevControl.setX((2.0 * aPrevPoint.getX()) - aPrevControlPoint.getX());
+                                aPrevControl.setY((2.0 * aPrevPoint.getY()) - aPrevControlPoint.getY());
+                            }
+
+                            if(!aPrevControl.equal(aPrevPoint))
+                            {
+                                // there is a prev control point, and we have the already mirrored one
+                                // in aPrevControl. We also need the quadratic control point for this
+                                // new quadratic segment to calculate the 2nd cubic control point
+                                const B2DPoint aQuadControlPoint(
+                                    ((3.0 * aPrevControl.getX()) - aPrevPoint.getX()) / 2.0,
+                                    ((3.0 * aPrevControl.getY()) - aPrevPoint.getY()) / 2.0);
+
+                                // calculate the cubic bezier coefficients from the quadratic ones.
+                                const double nX2Prime((aQuadControlPoint.getX() * 2.0 + nX) / 3.0);
+                                const double nY2Prime((aQuadControlPoint.getY() * 2.0 + nY) / 3.0);
+
+                                // append curved edge, use mirrored cubic control point directly
+                                aCurrPoly.appendBezierSegment(aPrevControl, B2DPoint(nX2Prime, nY2Prime), B2DPoint(nX, nY));
+                            }
+                            else
+                            {
+                                // when no previous control, SVG says to use current point -> straight line.
+                                // Just add end point
+                                aCurrPoly.append(B2DPoint(nX, nY));
+                            }
+
+                            // set last position
+                            nLastX = nX;
+                            nLastY = nY;
+                        }
+                        break;
+                    }
+
+                    case 'a' :
+                    {
+                        bRelative = true;
+                        [[fallthrough]];
+                    }
+                    case 'A' :
+                    {
+                        nPos++;
+                        basegfx::internal::skipSpaces(nPos, rSvgDStatement, nLen);
+
+                        while(nPos < nLen && basegfx::internal::isOnNumberChar(rSvgDStatement, nPos))
+                        {
+                            double nX, nY;
+                            double fRX, fRY, fPhi;
+                            sal_Int32 bLargeArcFlag, bSweepFlag;
+
+                            if(!basegfx::internal::importDoubleAndSpaces(fRX, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(fRY, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(fPhi, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importFlagAndSpaces(bLargeArcFlag, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importFlagAndSpaces(bSweepFlag, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
+                            if(!basegfx::internal::importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
+
+                            if(bRelative)
+                            {
+                                nX += nLastX;
+                                nY += nLastY;
+                            }
+
+                            if( rtl::math::approxEqual(nX, nLastX) && rtl::math::approxEqual(nY, nLastY) )
+                                continue; // start==end -> skip according to SVG spec
+
+                            if( fRX == 0.0 || fRY == 0.0 )
+                            {
+                                // straight line segment according to SVG spec
+                                aCurrPoly.append(B2DPoint(nX, nY));
+                            }
+                            else
+                            {
+                                // normalize according to SVG spec
+                                fRX=fabs(fRX); fRY=fabs(fRY);
+
+                                // from the SVG spec, appendix F.6.4
+
+                                // |x1'|   |cos phi   sin phi|  |(x1 - x2)/2|
+                                // |y1'| = |-sin phi  cos phi|  |(y1 - y2)/2|
+                                const B2DPoint p1(nLastX, nLastY);
+                                const B2DPoint p2(nX, nY);
+                                B2DHomMatrix aTransform(basegfx::utils::createRotateB2DHomMatrix(
+                                    -deg2rad(fPhi)));
+
+                                const B2DPoint p1_prime( aTransform * B2DPoint(((p1-p2)/2.0)) );
+
+                                //           ______________________________________       rx y1'
+                                // |cx'|  + /  rx^2 ry^2 - rx^2 y1'^2 - ry^2 x1^2           ry
+                                // |cy'| =-/       rx^2y1'^2 + ry^2 x1'^2               - ry x1'
+                                //                                                          rx
+                                // chose + if f_A != f_S
+                                // chose - if f_A  = f_S
+                                B2DPoint aCenter_prime;
+                                const double fRadicant(
+                                    (fRX*fRX*fRY*fRY - fRX*fRX*p1_prime.getY()*p1_prime.getY() - fRY*fRY*p1_prime.getX()*p1_prime.getX())/
+                                    (fRX*fRX*p1_prime.getY()*p1_prime.getY() + fRY*fRY*p1_prime.getX()*p1_prime.getX()));
+                                if( fRadicant < 0.0 )
+                                {
+                                    // no solution - according to SVG
+                                    // spec, scale up ellipse
+                                    // uniformly such that it passes
+                                    // through end points (denominator
+                                    // of radicant solved for fRY,
+                                    // with s=fRX/fRY)
+                                    const double fRatio(fRX/fRY);
+                                    const double fRadicant2(
+                                        p1_prime.getY()*p1_prime.getY() +
+                                        p1_prime.getX()*p1_prime.getX()/(fRatio*fRatio));
+                                    if( fRadicant2 < 0.0 )
+                                    {
+                                        // only trivial solution, one
+                                        // of the axes 0 -> straight
+                                        // line segment according to
+                                        // SVG spec
+                                        aCurrPoly.append(B2DPoint(nX, nY));
+                                        continue;
+                                    }
+
+                                    fRY=sqrt(fRadicant2);
+                                    fRX=fRatio*fRY;
+
+                                    // keep center_prime forced to (0,0)
+                                }
+                                else
+                                {
+                                    const double fFactor(
+                                        (bLargeArcFlag==bSweepFlag ? -1.0 : 1.0) *
+                                        sqrt(fRadicant));
+
+                                    // actually calculate center_prime
+                                    aCenter_prime = B2DPoint(
+                                        fFactor*fRX*p1_prime.getY()/fRY,
+                                        -fFactor*fRY*p1_prime.getX()/fRX);
+                                }
+
+                                //              +           u - v
+                                // angle(u,v) =  arccos( ------------ )     (take the sign of (ux vy - uy vx))
+                                //              -        ||u|| ||v||
+
+                                //                  1    | (x1' - cx')/rx |
+                                // theta1 = angle((   ), |                | )
+                                //                  0    | (y1' - cy')/ry |
+                                const B2DPoint aRadii(fRX,fRY);
+                                double fTheta1(
+                                    B2DVector(1.0,0.0).angle(
+                                        (p1_prime-aCenter_prime)/aRadii));
+
+                                //                 |1|    |  (-x1' - cx')/rx |
+                                // theta2 = angle( | | ,  |                  | )
+                                //                 |0|    |  (-y1' - cy')/ry |
+                                double fTheta2(
+                                    B2DVector(1.0,0.0).angle(
+                                        (-p1_prime-aCenter_prime)/aRadii));
+
+                                // map both angles to [0,2pi)
+                                fTheta1 = fmod(2*M_PI+fTheta1,2*M_PI);
+                                fTheta2 = fmod(2*M_PI+fTheta2,2*M_PI);
+
+                                // make sure the large arc is taken
+                                // (since
+                                // createPolygonFromEllipseSegment()
+                                // normalizes to e.g. cw arc)
+                                if( !bSweepFlag )
+                                    std::swap(fTheta1,fTheta2);
+
+                                // finally, create bezier polygon from this
+                                B2DPolygon aSegment(
+                                    utils::createPolygonFromUnitEllipseSegment(
+                                        fTheta1, fTheta2 ));
+
+                                // transform ellipse by rotation & move to final center
+                                aTransform = basegfx::utils::createScaleB2DHomMatrix(fRX, fRY);
+                                aTransform.translate(aCenter_prime.getX(),
+                                                     aCenter_prime.getY());
+                                aTransform.rotate(deg2rad(fPhi));
+                                const B2DPoint aOffset((p1+p2)/2.0);
+                                aTransform.translate(aOffset.getX(),
+                                                     aOffset.getY());
+                                aSegment.transform(aTransform);
+
+                                // createPolygonFromEllipseSegment()
+                                // always creates arcs that are
+                                // positively oriented - flip polygon
+                                // if we swapped angles above
+                                if( !bSweepFlag )
+                                    aSegment.flip();
+
+                                // remember PointIndex of evtl. added pure helper points
+                                sal_uInt32 nPointIndex(aCurrPoly.count() + 1);
+                                aCurrPoly.append(aSegment);
+
+                                // if asked for, mark pure helper points by adding them to the index list of
+                                // helper points
+                                if(pHelpPointIndexSet && aCurrPoly.count() > 1)
+                                {
+                                    const sal_uInt32 nPolyIndex(o_rPolyPolygon.count());
+
+                                    for(;nPointIndex + 1 < aCurrPoly.count(); nPointIndex++)
+                                    {
+                                        pHelpPointIndexSet->insert(PointIndex(nPolyIndex, nPointIndex));
+                                    }
+                                }
+                            }
+
+                            // set last position
+                            nLastX = nX;
+                            nLastY = nY;
+                        }
+                        break;
+                    }
+
+                    default:
+                    {
+                        SAL_WARN("basegfx", "importFromSvgD(): skipping tags in svg:d element (unknown: \""
+                                << OUString(aCurrChar)
+                                << "\")!");
+                        ++nPos;
+                        break;
+                    }
+                }
+            }
+
+            // if there is polygon data, create non-closed polygon
+            if(aCurrPoly.count())
+            {
+                o_rPolyPolygon.append(aCurrPoly);
+            }
+
+            return true;
+        }
+
+        bool importFromSvgPoints( B2DPolygon&            o_rPoly,
+                                  std::u16string_view rSvgPointsAttribute )
+        {
+            o_rPoly.clear();
+            const sal_Int32 nLen(rSvgPointsAttribute.size());
+            sal_Int32 nPos(0);
+            double nX, nY;
+
+            // skip initial whitespace
+            basegfx::internal::skipSpaces(nPos, rSvgPointsAttribute, nLen);
+
+            while(nPos < nLen)
+            {
+                if(!basegfx::internal::importDoubleAndSpaces(nX, nPos, rSvgPointsAttribute, nLen)) return false;
+                if(!basegfx::internal::importDoubleAndSpaces(nY, nPos, rSvgPointsAttribute, nLen)) return false;
+
+                // add point
+                o_rPoly.append(B2DPoint(nX, nY));
+
+                // skip to next number, or finish
+                basegfx::internal::skipSpaces(nPos, rSvgPointsAttribute, nLen);
+            }
+
+            return true;
+        }
+
+        OUString exportToSvgPoints( const B2DPolygon& rPoly )
+        {
+            SAL_WARN_IF(rPoly.areControlPointsUsed(), "basegfx", "exportToSvgPoints: Only non-bezier polygons allowed (!)");
+            const sal_uInt32 nPointCount(rPoly.count());
+            OUStringBuffer aResult;
+
+            for(sal_uInt32 a(0); a < nPointCount; a++)
+            {
+                const basegfx::B2DPoint aPoint(rPoly.getB2DPoint(a));
+
+                if(a)
+                {
+                    aResult.append(' ');
+                }
+
+                aResult.append(aPoint.getX());
+                aResult.append(',');
+                aResult.append(aPoint.getY());
+            }
+
+            return aResult.makeStringAndClear();
+        }
+
+        OUString exportToSvgD(
+            const B2DPolyPolygon& rPolyPolygon,
+            bool bUseRelativeCoordinates,
+            bool bDetectQuadraticBeziers,
+            bool bHandleRelativeNextPointCompatible,
+            bool bOOXMLMotionPath)
+        {
+            const sal_uInt32 nCount(rPolyPolygon.count());
+            sal_uInt32 nCombinedPointCount = 0;
+            for(sal_uInt32 i(0); i < nCount; i++)
+            {
+                const B2DPolygon& aPolygon(rPolyPolygon.getB2DPolygon(i));
+                nCombinedPointCount += aPolygon.count();
+            }
+
+            OUStringBuffer aResult(std::max<int>(nCombinedPointCount * 32,512));
+            B2DPoint aCurrentSVGPosition(0.0, 0.0); // SVG assumes (0,0) as the initial current point
+
+            for(sal_uInt32 i(0); i < nCount; i++)
+            {
+                const B2DPolygon& aPolygon(rPolyPolygon.getB2DPolygon(i));
+                const sal_uInt32 nPointCount(aPolygon.count());
+
+                if(nPointCount)
+                {
+                    const bool bPolyUsesControlPoints(aPolygon.areControlPointsUsed());
+                    const sal_uInt32 nEdgeCount(aPolygon.isClosed() ? nPointCount : nPointCount - 1);
+                    sal_Unicode aLastSVGCommand(' '); // last SVG command char
+                    B2DPoint aLeft, aRight; // for quadratic bezier test
+
+                    // handle polygon start point
+                    B2DPoint aEdgeStart(aPolygon.getB2DPoint(0));
+                    bool bUseRelativeCoordinatesForFirstPoint(bUseRelativeCoordinates);
+
+                    if(bHandleRelativeNextPointCompatible)
+                    {
+                        // To get around the error that the start point for the next polygon is the
+                        // start point of the current one (and not the last as it was handled up to now)
+                        // do force to write an absolute 'M' command as start for the next polygon
+                        bUseRelativeCoordinatesForFirstPoint = false;
+                    }
+
+                    // Write 'moveto' and the 1st coordinates, set aLastSVGCommand to 'lineto'
+                    putCommandChar(aResult, aLastSVGCommand, 'M', bUseRelativeCoordinatesForFirstPoint, bOOXMLMotionPath);
+                    putNumberChar(aResult, aEdgeStart.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinatesForFirstPoint, bOOXMLMotionPath);
+                    putNumberChar(aResult, aEdgeStart.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinatesForFirstPoint, bOOXMLMotionPath);
+                    aLastSVGCommand =  bUseRelativeCoordinatesForFirstPoint ? 'l' : 'L';
+                    aCurrentSVGPosition = aEdgeStart;
+
+                    for(sal_uInt32 nIndex(0); nIndex < nEdgeCount; nIndex++)
+                    {
+                        // prepare access to next point
+                        const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+                        const B2DPoint aEdgeEnd(aPolygon.getB2DPoint(nNextIndex));
+
+                        // handle edge from (aEdgeStart, aEdgeEnd) using indices (nIndex, nNextIndex)
+                        const bool bEdgeIsBezier(bPolyUsesControlPoints
+                            && (aPolygon.isNextControlPointUsed(nIndex) || aPolygon.isPrevControlPointUsed(nNextIndex)));
+
+                        if(bEdgeIsBezier)
+                        {
+                            // handle bezier edge
+                            const B2DPoint aControlEdgeStart(aPolygon.getNextControlPoint(nIndex));
+                            const B2DPoint aControlEdgeEnd(aPolygon.getPrevControlPoint(nNextIndex));
+                            bool bIsQuadraticBezier(false);
+
+                            // check continuity at current edge's start point. For SVG, do NOT use an
+                            // existing continuity since no 'S' or 's' statement should be written. At
+                            // import, that 'previous' control vector is not available. SVG documentation
+                            // says for interpretation:
+
+                            // "(If there is no previous command or if the previous command was
+                            // not a C, c, S or s, assume the first control point is coincident
+                            // with the current point.)"
+
+                            // That's what is done from our import, so avoid exporting it as first statement
+                            // is necessary.
+                            const bool bSymmetricAtEdgeStart(
+                                !bOOXMLMotionPath && nIndex != 0
+                                && aPolygon.getContinuityInPoint(nIndex) == B2VectorContinuity::C2);
+
+                            if(bDetectQuadraticBeziers)
+                            {
+                                // check for quadratic beziers - that's
+                                // the case if both control points are in
+                                // the same place when they are prolonged
+                                // to the common quadratic control point
+
+                                // Left: P = (3P1 - P0) / 2
+                                // Right: P = (3P2 - P3) / 2
+                                aLeft = B2DPoint((3.0 * aControlEdgeStart - aEdgeStart) / 2.0);
+                                aRight= B2DPoint((3.0 * aControlEdgeEnd - aEdgeEnd) / 2.0);
+                                bIsQuadraticBezier = aLeft.equal(aRight);
+                            }
+
+                            if(bIsQuadraticBezier)
+                            {
+                                // approximately equal, export as quadratic bezier
+                                if(bSymmetricAtEdgeStart)
+                                {
+                                    putCommandChar(aResult, aLastSVGCommand, 'T', bUseRelativeCoordinates, bOOXMLMotionPath);
+
+                                    putNumberChar(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    aCurrentSVGPosition = aEdgeEnd;
+                                }
+                                else
+                                {
+                                    putCommandChar(aResult, aLastSVGCommand, 'Q', bUseRelativeCoordinates, bOOXMLMotionPath);
+
+                                    putNumberChar(aResult, aLeft.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aLeft.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    aCurrentSVGPosition = aEdgeEnd;
+                                }
+                            }
+                            else
+                            {
+                                // export as cubic bezier
+                                if(bSymmetricAtEdgeStart)
+                                {
+                                    putCommandChar(aResult, aLastSVGCommand, 'S', bUseRelativeCoordinates, bOOXMLMotionPath);
+
+                                    putNumberChar(aResult, aControlEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aControlEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    aCurrentSVGPosition = aEdgeEnd;
+                                }
+                                else
+                                {
+                                    putCommandChar(aResult, aLastSVGCommand, 'C', bUseRelativeCoordinates, bOOXMLMotionPath);
+
+                                    putNumberChar(aResult, aControlEdgeStart.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aControlEdgeStart.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aControlEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aControlEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    aCurrentSVGPosition = aEdgeEnd;
+                                }
+                            }
+                        }
+                        else
+                        {
+                            // straight edge
+                            if(nNextIndex == 0)
+                            {
+                                // it's a closed polygon's last edge and it's not a bezier edge, so there is
+                                // no need to write it
+                            }
+                            else
+                            {
+                                const bool bXEqual(rtl::math::approxEqual(aEdgeStart.getX(), aEdgeEnd.getX()));
+                                const bool bYEqual(rtl::math::approxEqual(aEdgeStart.getY(), aEdgeEnd.getY()));
+
+                                if(bXEqual && bYEqual)
+                                {
+                                    // point is a double point; do not export at all
+                                }
+                                else if(bXEqual && !bOOXMLMotionPath)
+                                {
+                                    // export as vertical line
+                                    putCommandChar(aResult, aLastSVGCommand, 'V', bUseRelativeCoordinates, bOOXMLMotionPath);
+
+                                    putNumberChar(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    aCurrentSVGPosition = aEdgeEnd;
+                                }
+                                else if(bYEqual && !bOOXMLMotionPath)
+                                {
+                                    // export as horizontal line
+                                    putCommandChar(aResult, aLastSVGCommand, 'H', bUseRelativeCoordinates, bOOXMLMotionPath);
+
+                                    putNumberChar(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    aCurrentSVGPosition = aEdgeEnd;
+                                }
+                                else
+                                {
+                                    // export as line
+                                    putCommandChar(aResult, aLastSVGCommand, 'L', bUseRelativeCoordinates, bOOXMLMotionPath);
+
+                                    putNumberChar(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    putNumberChar(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates, bOOXMLMotionPath);
+                                    aCurrentSVGPosition = aEdgeEnd;
+                                }
+                            }
+                        }
+
+                        // prepare edge start for next loop step
+                        aEdgeStart = aEdgeEnd;
+                    }
+
+                    // close path if closed poly (Z and z are equivalent here, but looks nicer when case is matched)
+                    if(aPolygon.isClosed())
+                    {
+                        putCommandChar(aResult, aLastSVGCommand, 'Z', bUseRelativeCoordinates, bOOXMLMotionPath);
+                    }
+                    else if (bOOXMLMotionPath)
+                    {
+                        putCommandChar(aResult, aLastSVGCommand, 'E', bUseRelativeCoordinates, bOOXMLMotionPath);
+                    }
+
+                    if(!bHandleRelativeNextPointCompatible)
+                    {
+                        // SVG defines that "the next subpath starts at the same initial point as the current subpath",
+                        // so set aCurrentSVGPosition to the 1st point of the current, now ended and written path
+                        aCurrentSVGPosition = aPolygon.getB2DPoint(0);
+                    }
+                }
+            }
+
+            return aResult.makeStringAndClear();
+        }
+}
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b2dtrapezoid.cxx b/basegfx/source/polygon/b2dtrapezoid.cxx
new file mode 100644
index 000000000..b7991dbf5
--- /dev/null
+++ b/basegfx/source/polygon/b2dtrapezoid.cxx
@@ -0,0 +1,1160 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <basegfx/polygon/b2dtrapezoid.hxx>
+#include <basegfx/range/b1drange.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <basegfx/polygon/b2dpolypolygon.hxx>
+
+#include <osl/diagnose.h>
+
+#include <list>
+
+namespace basegfx::trapezoidhelper
+{
+
+        // helper class to hold a simple edge. This is only used for horizontal edges
+        // currently, thus the YPositions will be equal. I did not create a special
+        // class for this since holding the pointers is more effective and also can be
+        // used as baseclass for the traversing edges
+
+        namespace {
+
+        class TrDeSimpleEdge
+        {
+        protected:
+            // pointers to start and end point
+            const B2DPoint*     mpStart;
+            const B2DPoint*     mpEnd;
+
+        public:
+            // constructor
+            TrDeSimpleEdge(
+                const B2DPoint* pStart,
+                const B2DPoint* pEnd)
+            :   mpStart(pStart),
+                mpEnd(pEnd)
+            {
+            }
+
+            // data read access
+            const B2DPoint& getStart() const { return *mpStart; }
+            const B2DPoint& getEnd() const { return *mpEnd; }
+        };
+
+        }
+
+        // define vector of simple edges
+
+        typedef std::vector< TrDeSimpleEdge > TrDeSimpleEdges;
+
+        // helper class for holding a traversing edge. It will always have some
+        // distance in YPos. The slope (in a numerically useful form, see comments) is
+        // hold and used in SortValue to allow sorting traversing edges by Y, X and slope
+        // (in that order)
+
+        namespace {
+
+        class TrDeEdgeEntry : public TrDeSimpleEdge
+        {
+        private:
+            // the slope in a numerical useful form for sorting
+            sal_uInt32          mnSortValue;
+
+        public:
+            // convenience data read access
+            double getDeltaX() const { return mpEnd->getX() - mpStart->getX(); }
+            double getDeltaY() const { return mpEnd->getY() - mpStart->getY(); }
+
+            // convenience data read access. SortValue is created on demand since
+            // it is not always used
+            sal_uInt32 getSortValue() const
+            {
+                if(mnSortValue != 0)
+                    return mnSortValue;
+
+                // get radiant; has to be in the range ]0.0 .. pi[, thus scale to full
+                // sal_uInt32 range for maximum precision
+                const double fRadiant(atan2(getDeltaY(), getDeltaX()) * (SAL_MAX_UINT32 / M_PI));
+
+                // convert to sal_uInt32 value
+                const_cast< TrDeEdgeEntry* >(this)->mnSortValue = sal_uInt32(fRadiant);
+
+                return mnSortValue;
+            }
+
+            // constructor. SortValue can be given when known, use zero otherwise
+            TrDeEdgeEntry(
+                const B2DPoint* pStart,
+                const B2DPoint* pEnd,
+                sal_uInt32 nSortValue)
+            :   TrDeSimpleEdge(pStart, pEnd),
+                mnSortValue(nSortValue)
+            {
+                // force traversal of deltaY downward
+                if(mpEnd->getY() < mpStart->getY())
+                {
+                    std::swap(mpStart, mpEnd);
+                }
+
+                // no horizontal edges allowed, all need to traverse vertically
+                OSL_ENSURE(mpEnd->getY() > mpStart->getY(), "Illegal TrDeEdgeEntry constructed (!)");
+            }
+
+            // data write access to StartPoint
+            void setStart( const B2DPoint* pNewStart)
+            {
+                OSL_ENSURE(pNewStart != nullptr, "No null pointer allowed here (!)");
+
+                if(mpStart != pNewStart)
+                {
+                    mpStart = pNewStart;
+
+                    // no horizontal edges allowed, all need to traverse vertically
+                    OSL_ENSURE(mpEnd->getY() > mpStart->getY(), "Illegal TrDeEdgeEntry constructed (!)");
+                }
+            }
+
+            // data write access to EndPoint
+            void setEnd( const B2DPoint* pNewEnd)
+            {
+                OSL_ENSURE(pNewEnd != nullptr, "No null pointer allowed here (!)");
+
+                if(mpEnd != pNewEnd)
+                {
+                    mpEnd = pNewEnd;
+
+                    // no horizontal edges allowed, all need to traverse vertically
+                    OSL_ENSURE(mpEnd->getY() > mpStart->getY(), "Illegal TrDeEdgeEntry constructed (!)");
+                }
+            }
+
+            // operator for sort support. Sort by Y, X and slope (in that order)
+            bool operator<(const TrDeEdgeEntry& rComp) const
+            {
+                if(fTools::equal(getStart().getY(), rComp.getStart().getY()))
+                {
+                    if(fTools::equal(getStart().getX(), rComp.getStart().getX()))
+                    {
+                        // when start points are equal, use the direction the edge is pointing
+                        // to. That value is created on demand and derived from atan2 in the
+                        // range ]0.0 .. pi[ (without extremas, we always have a deltaY in this
+                        // class) and scaled to sal_uInt32 range for best precision. 0 means no angle,
+                        // while SAL_MAX_UINT32 means pi. Thus, the higher the value, the more left
+                        // the edge traverses.
+                        return (getSortValue() > rComp.getSortValue());
+                    }
+                    else
+                    {
+                        return fTools::less(getStart().getX(), rComp.getStart().getX());
+                    }
+                }
+                else
+                {
+                    return fTools::less(getStart().getY(), rComp.getStart().getY());
+                }
+            }
+
+            // method for cut support
+            B2DPoint getCutPointForGivenY(double fGivenY) const
+            {
+                // Calculate cut point locally (do not use interpolate) since it is numerically
+                // necessary to guarantee the new, equal Y-coordinate
+                const double fFactor((fGivenY - getStart().getY()) / getDeltaY());
+                const double fDeltaXNew(fFactor * getDeltaX());
+
+                return B2DPoint(getStart().getX() + fDeltaXNew, fGivenY);
+            }
+        };
+
+        }
+
+        // define double linked list of edges (for fast random insert)
+
+        typedef std::list< TrDeEdgeEntry > TrDeEdgeEntries;
+
+
+
+        // FIXME: templatize this and use it for TrDeEdgeEntries too ...
+
+        namespace {
+
+        /// Class to allow efficient allocation and release of B2DPoints
+        class PointBlockAllocator
+        {
+            static const size_t nBlockSize = 32;
+            size_t nCurPoint;
+            B2DPoint *mpPointBase;
+            /// Special case the first allocation to avoid it.
+            B2DPoint maFirstStackBlock[nBlockSize];
+            std::vector< B2DPoint * > maBlocks;
+        public:
+            PointBlockAllocator() :
+                nCurPoint( nBlockSize ),
+                mpPointBase( maFirstStackBlock )
+            {
+            }
+
+            ~PointBlockAllocator()
+            {
+                while(!maBlocks.empty())
+                {
+                    delete [] maBlocks.back();
+                    maBlocks.pop_back();
+                }
+            }
+
+            B2DPoint *allocatePoint()
+            {
+                if(nCurPoint >= nBlockSize)
+                {
+                    mpPointBase = new B2DPoint[nBlockSize];
+                    maBlocks.push_back(mpPointBase);
+                    nCurPoint = 0;
+                }
+                return mpPointBase + nCurPoint++;
+            }
+
+            B2DPoint *allocatePoint(const B2DTuple &rPoint)
+            {
+                B2DPoint *pPoint = allocatePoint();
+                *pPoint = rPoint;
+                return pPoint;
+            }
+
+            /// This is a very uncommon case but why not ...
+            void freeIfLast(B2DPoint const *pPoint)
+            {
+                // just re-use the last point if we can.
+                if ( nCurPoint > 0 && pPoint == mpPointBase + nCurPoint - 1 )
+                    nCurPoint--;
+            }
+        };
+
+        // helper class to handle the complete trapezoid subdivision of a PolyPolygon
+        class TrapezoidSubdivider
+        {
+        private:
+            // local data
+            TrDeEdgeEntries             maTrDeEdgeEntries;
+            std::vector< B2DPoint >   maPoints;
+            /// new points allocated for cuts
+            PointBlockAllocator         maNewPoints;
+
+            void addEdgeSorted(
+                TrDeEdgeEntries::iterator aCurrent,
+                const TrDeEdgeEntry& rNewEdge)
+            {
+                // Loop while new entry is bigger, use operator<
+                while(aCurrent != maTrDeEdgeEntries.end() && (*aCurrent) < rNewEdge)
+                {
+                    ++aCurrent;
+                }
+
+                // Insert before first which is smaller or equal or at end
+                maTrDeEdgeEntries.insert(aCurrent, rNewEdge);
+            }
+
+            bool splitEdgeAtGivenPoint(
+                TrDeEdgeEntries::reference aEdge,
+                const B2DPoint& rCutPoint,
+                const TrDeEdgeEntries::iterator& aCurrent)
+            {
+                // do not create edges without deltaY: do not split when start is identical
+                if(aEdge.getStart().equal(rCutPoint))
+                {
+                    return false;
+                }
+
+                // do not create edges without deltaY: do not split when end is identical
+                if(aEdge.getEnd().equal(rCutPoint))
+                {
+                    return false;
+                }
+
+                const double fOldDeltaYStart(rCutPoint.getY() - aEdge.getStart().getY());
+
+                if(fTools::lessOrEqual(fOldDeltaYStart, 0.0))
+                {
+                    // do not split: the resulting edge would be horizontal
+                    // correct it to new start point
+                    aEdge.setStart(&rCutPoint);
+                    return false;
+                }
+
+                const double fNewDeltaYStart(aEdge.getEnd().getY() - rCutPoint.getY());
+
+                if(fTools::lessOrEqual(fNewDeltaYStart, 0.0))
+                {
+                    // do not split: the resulting edge would be horizontal
+                    // correct it to new end point
+                    aEdge.setEnd(&rCutPoint);
+                    return false;
+                }
+
+                // Create new entry
+                const TrDeEdgeEntry aNewEdge(
+                    &rCutPoint,
+                    &aEdge.getEnd(),
+                    aEdge.getSortValue());
+
+                // Correct old entry
+                aEdge.setEnd(&rCutPoint);
+
+                // Insert sorted (to avoid new sort)
+                addEdgeSorted(aCurrent, aNewEdge);
+
+                return true;
+            }
+
+            bool testAndCorrectEdgeIntersection(
+                TrDeEdgeEntries::reference aEdgeA,
+                TrDeEdgeEntries::reference aEdgeB,
+                const TrDeEdgeEntries::iterator& aCurrent)
+            {
+                // Exclude simple cases: same start or end point
+                if(aEdgeA.getStart().equal(aEdgeB.getStart()))
+                {
+                    return false;
+                }
+
+                if(aEdgeA.getStart().equal(aEdgeB.getEnd()))
+                {
+                    return false;
+                }
+
+                if(aEdgeA.getEnd().equal(aEdgeB.getStart()))
+                {
+                    return false;
+                }
+
+                if(aEdgeA.getEnd().equal(aEdgeB.getEnd()))
+                {
+                    return false;
+                }
+
+                // Exclude simple cases: one of the edges has no length anymore
+                if(aEdgeA.getStart().equal(aEdgeA.getEnd()))
+                {
+                    return false;
+                }
+
+                if(aEdgeB.getStart().equal(aEdgeB.getEnd()))
+                {
+                    return false;
+                }
+
+                // check if one point is on the other edge (a touch, not a cut)
+                const B2DVector aDeltaB(aEdgeB.getDeltaX(), aEdgeB.getDeltaY());
+
+                if(utils::isPointOnEdge(aEdgeA.getStart(), aEdgeB.getStart(), aDeltaB))
+                {
+                    return splitEdgeAtGivenPoint(aEdgeB, aEdgeA.getStart(), aCurrent);
+                }
+
+                if(utils::isPointOnEdge(aEdgeA.getEnd(), aEdgeB.getStart(), aDeltaB))
+                {
+                    return splitEdgeAtGivenPoint(aEdgeB, aEdgeA.getEnd(), aCurrent);
+                }
+
+                const B2DVector aDeltaA(aEdgeA.getDeltaX(), aEdgeA.getDeltaY());
+
+                if(utils::isPointOnEdge(aEdgeB.getStart(), aEdgeA.getStart(), aDeltaA))
+                {
+                    return splitEdgeAtGivenPoint(aEdgeA, aEdgeB.getStart(), aCurrent);
+                }
+
+                if(utils::isPointOnEdge(aEdgeB.getEnd(), aEdgeA.getStart(), aDeltaA))
+                {
+                    return splitEdgeAtGivenPoint(aEdgeA, aEdgeB.getEnd(), aCurrent);
+                }
+
+                // check for cut inside edges. Use both t-values to choose the more precise
+                // one later
+                double fCutA(0.0);
+                double fCutB(0.0);
+
+                if(utils::findCut(
+                    aEdgeA.getStart(), aDeltaA,
+                    aEdgeB.getStart(), aDeltaB,
+                    CutFlagValue::LINE,
+                    &fCutA,
+                    &fCutB) == CutFlagValue::NONE)
+                    return false;
+
+                // use a simple metric (length criteria) for choosing the numerically
+                // better cut
+                const double fSimpleLengthA(aDeltaA.getX() + aDeltaA.getY());
+                const double fSimpleLengthB(aDeltaB.getX() + aDeltaB.getY());
+                const bool bAIsLonger(fSimpleLengthA > fSimpleLengthB);
+                B2DPoint* pNewPoint = bAIsLonger
+                    ? maNewPoints.allocatePoint(aEdgeA.getStart() + (fCutA * aDeltaA))
+                    : maNewPoints.allocatePoint(aEdgeB.getStart() + (fCutB * aDeltaB));
+
+                // try to split both edges
+                bool bRetval = splitEdgeAtGivenPoint(aEdgeA, *pNewPoint, aCurrent);
+                bRetval |= splitEdgeAtGivenPoint(aEdgeB, *pNewPoint, aCurrent);
+
+                if(!bRetval)
+                    maNewPoints.freeIfLast(pNewPoint);
+
+                return bRetval;
+            }
+
+            void solveHorizontalEdges(TrDeSimpleEdges& rTrDeSimpleEdges)
+            {
+                if(rTrDeSimpleEdges.empty() || maTrDeEdgeEntries.empty())
+                    return;
+
+                // there were horizontal edges. These can be excluded, but
+                // cuts with other edges need to be solved and added before
+                // ignoring them
+                for(const TrDeSimpleEdge & rHorEdge : rTrDeSimpleEdges)
+                {
+                    // get horizontal edge as candidate; prepare its range and fixed Y
+                    const B1DRange aRange(rHorEdge.getStart().getX(), rHorEdge.getEnd().getX());
+                    const double fFixedY(rHorEdge.getStart().getY());
+
+                    // loop over traversing edges
+                    TrDeEdgeEntries::iterator aCurrent(maTrDeEdgeEntries.begin());
+
+                    do
+                    {
+                        // get compare edge
+                        TrDeEdgeEntries::reference aCompare(*aCurrent++);
+
+                        if(fTools::lessOrEqual(aCompare.getEnd().getY(), fFixedY))
+                        {
+                            // edge ends above horizontal edge, continue
+                            continue;
+                        }
+
+                        if(fTools::moreOrEqual(aCompare.getStart().getY(), fFixedY))
+                        {
+                            // edge starts below horizontal edge, continue
+                            continue;
+                        }
+
+                        // vertical overlap, get horizontal range
+                        const B1DRange aCompareRange(aCompare.getStart().getX(), aCompare.getEnd().getX());
+
+                        if(aRange.overlaps(aCompareRange))
+                        {
+                            // possible cut, get cut point
+                            const B2DPoint aSplit(aCompare.getCutPointForGivenY(fFixedY));
+
+                            if(fTools::more(aSplit.getX(), aRange.getMinimum())
+                                && fTools::less(aSplit.getX(), aRange.getMaximum()))
+                            {
+                                // cut is in XRange of horizontal edge, potentially needed cut
+                                B2DPoint* pNewPoint = maNewPoints.allocatePoint(aSplit);
+
+                                if(!splitEdgeAtGivenPoint(aCompare, *pNewPoint, aCurrent))
+                                {
+                                    maNewPoints.freeIfLast(pNewPoint);
+                                }
+                            }
+                        }
+                    }
+                    while(aCurrent != maTrDeEdgeEntries.end()
+                        && fTools::less(aCurrent->getStart().getY(), fFixedY));
+                }
+            }
+
+        public:
+            explicit TrapezoidSubdivider(
+                const B2DPolyPolygon& rSourcePolyPolygon)
+            {
+                B2DPolyPolygon aSource(rSourcePolyPolygon);
+                TrDeSimpleEdges aTrDeSimpleEdges;
+                sal_uInt32 nAllPointCount(0);
+
+                // ensure there are no curves used
+                if(aSource.areControlPointsUsed())
+                {
+                    aSource = aSource.getDefaultAdaptiveSubdivision();
+                }
+
+                for(const auto& aPolygonCandidate : std::as_const(aSource))
+                {
+                    // 1st run: count points
+                    const sal_uInt32 nCount(aPolygonCandidate.count());
+
+                    if(nCount > 2)
+                    {
+                        nAllPointCount += nCount;
+                    }
+                }
+
+                if(nAllPointCount)
+                {
+                    // reserve needed points. CAUTION: maPoints size is NOT to be changed anymore
+                    // after 2nd loop since pointers to it are used in the edges
+                    maPoints.reserve(nAllPointCount);
+
+                    for(const auto& aPolygonCandidate : std::as_const(aSource))
+                    {
+                        // 2nd run: add points
+                        const sal_uInt32 nCount(aPolygonCandidate.count());
+
+                        if(nCount > 2)
+                        {
+                            for(sal_uInt32 b = 0; b < nCount; b++)
+                            {
+                                maPoints.push_back(aPolygonCandidate.getB2DPoint(b));
+                            }
+                        }
+                    }
+
+                    // Moved the edge construction to a 3rd run: doing it in the 2nd run is
+                    // possible (and I used it), but requires a working vector::reserve()
+                    // implementation, else the vector will be reallocated and the pointers
+                    // in the edges may be wrong. Security first here.
+                    sal_uInt32 nStartIndex(0);
+
+                    for(const auto& aPolygonCandidate : std::as_const(aSource))
+                    {
+                        const sal_uInt32 nCount(aPolygonCandidate.count());
+
+                        if(nCount > 2)
+                        {
+                            // get the last point of the current polygon
+                            B2DPoint* pPrev(&maPoints[nCount + nStartIndex - 1]);
+
+                            for(sal_uInt32 b = 0; b < nCount; b++)
+                            {
+                                // get next point
+                                B2DPoint* pCurr(&maPoints[nStartIndex++]);
+
+                                if(fTools::equal(pPrev->getY(), pCurr->getY()))
+                                {
+                                    // horizontal edge, check for single point
+                                    if(!fTools::equal(pPrev->getX(), pCurr->getX()))
+                                    {
+                                        // X-order not needed, just add
+                                        aTrDeSimpleEdges.emplace_back(pPrev, pCurr);
+
+                                        const double fMiddle((pPrev->getY() + pCurr->getY()) * 0.5);
+                                        pPrev->setY(fMiddle);
+                                        pCurr->setY(fMiddle);
+                                    }
+                                }
+                                else
+                                {
+                                    // vertical edge. Positive Y-direction is guaranteed by the
+                                    // TrDeEdgeEntry constructor
+                                    maTrDeEdgeEntries.emplace_back(pPrev, pCurr, 0);
+                                }
+
+                                // prepare next step
+                                pPrev = pCurr;
+                            }
+                        }
+                    }
+                }
+
+                if(!maTrDeEdgeEntries.empty())
+                {
+                    // single and initial sort of traversing edges
+                    maTrDeEdgeEntries.sort();
+
+                    // solve horizontal edges if there are any detected
+                    solveHorizontalEdges(aTrDeSimpleEdges);
+                }
+            }
+
+            void Subdivide(B2DTrapezoidVector& ro_Result)
+            {
+                // This is the central subdivider. The strategy is to use the first two entries
+                // from the traversing edges as a potential trapezoid and do the needed corrections
+                // and adaptations on the way.
+
+                // There always must be two edges with the same YStart value: When adding the polygons
+                // in the constructor, there is always a topmost point from which two edges start; when
+                // the topmost is an edge, there is a start and end of this edge from which two edges
+                // start. All cases have two edges with same StartY (QED).
+
+                // Based on this these edges get corrected when:
+                // - one is longer than the other
+                // - they intersect
+                // - they intersect with other edges
+                // - another edge starts inside the thought trapezoid
+
+                // All this cases again produce a valid state so that the first two edges have a common
+                // Ystart again. Some cases lead to a restart of the process, some allow consuming the
+                // edges and create the intended trapezoid.
+
+                // Be careful when doing changes here: it is essential to keep all possible paths
+                // in valid states and to be numerically correct. This is especially needed e.g.
+                // by using fTools::equal(..) in the more robust small-value incarnation.
+                B1DRange aLeftRange;
+                B1DRange aRightRange;
+
+                if(!maTrDeEdgeEntries.empty())
+                {
+                    // measuring shows that the relation between edges and created trapezoids is
+                    // mostly in the 1:1 range, thus reserve as much trapezoids as edges exist.
+                    ro_Result.reserve(ro_Result.size() + maTrDeEdgeEntries.size());
+                }
+
+                while(!maTrDeEdgeEntries.empty())
+                {
+                    // Prepare current operator and get first edge
+                    TrDeEdgeEntries::iterator aCurrent(maTrDeEdgeEntries.begin());
+                    TrDeEdgeEntries::reference aLeft(*aCurrent++);
+
+                    if(aCurrent == maTrDeEdgeEntries.end())
+                    {
+                        // Should not happen: No 2nd edge; consume the single edge
+                        // to not have an endless loop and start next. During development
+                        // I constantly had breakpoints here, so I am sure enough to add an
+                        // assertion here
+                        OSL_FAIL("Trapezoid decomposer in illegal state (!)");
+                        maTrDeEdgeEntries.pop_front();
+                        continue;
+                    }
+
+                    // get second edge
+                    TrDeEdgeEntries::reference aRight(*aCurrent++);
+
+                    if(!fTools::equal(aLeft.getStart().getY(), aRight.getStart().getY()))
+                    {
+                        // Should not happen: We have a 2nd edge, but YStart is on another
+                        // line; consume the single edge to not have an endless loop and start
+                        // next. During development I constantly had breakpoints here, so I am
+                        // sure enough to add an assertion here
+                        OSL_FAIL("Trapezoid decomposer in illegal state (!)");
+                        maTrDeEdgeEntries.pop_front();
+                        continue;
+                    }
+
+                    // aLeft and aRight build a thought trapezoid now. They have a common
+                    // start line (same Y for start points). Potentially, one of the edges
+                    // is longer than the other. It is only needed to look at the shorter
+                    // length which build the potential trapezoid. To do so, get the end points
+                    // locally and adapt the evtl. longer one. Use only aLeftEnd and aRightEnd
+                    // from here on, not the aLeft.getEnd() or aRight.getEnd() accesses.
+                    B2DPoint aLeftEnd(aLeft.getEnd());
+                    B2DPoint aRightEnd(aRight.getEnd());
+
+                    // check if end points are on the same line. If yes, no adaptation
+                    // needs to be prepared. Also remember which one actually is longer.
+                    const bool bEndOnSameLine(fTools::equal(aLeftEnd.getY(), aRightEnd.getY()));
+                    bool bLeftIsLonger(false);
+
+                    if(!bEndOnSameLine)
+                    {
+                        // check which edge is longer and correct accordingly
+                        bLeftIsLonger = fTools::more(aLeftEnd.getY(), aRightEnd.getY());
+
+                        if(bLeftIsLonger)
+                        {
+                            aLeftEnd = aLeft.getCutPointForGivenY(aRightEnd.getY());
+                        }
+                        else
+                        {
+                            aRightEnd = aRight.getCutPointForGivenY(aLeftEnd.getY());
+                        }
+                    }
+
+                    // check for same start and end points
+                    const bool bSameStartPoint(aLeft.getStart().equal(aRight.getStart()));
+                    const bool bSameEndPoint(aLeftEnd.equal(aRightEnd));
+
+                    // check the simple case that the edges form a 'blind' edge (deadend)
+                    if(bSameStartPoint && bSameEndPoint)
+                    {
+                        // correct the longer edge if prepared
+                        if(!bEndOnSameLine)
+                        {
+                            if(bLeftIsLonger)
+                            {
+                                B2DPoint* pNewPoint = maNewPoints.allocatePoint(aLeftEnd);
+
+                                if(!splitEdgeAtGivenPoint(aLeft, *pNewPoint, aCurrent))
+                                {
+                                    maNewPoints.freeIfLast(pNewPoint);
+                                }
+                            }
+                            else
+                            {
+                                B2DPoint* pNewPoint = maNewPoints.allocatePoint(aRightEnd);
+
+                                if(!splitEdgeAtGivenPoint(aRight, *pNewPoint, aCurrent))
+                                {
+                                    maNewPoints.freeIfLast(pNewPoint);
+                                }
+                            }
+                        }
+
+                        // consume both edges and start next run
+                        maTrDeEdgeEntries.pop_front();
+                        maTrDeEdgeEntries.pop_front();
+
+                        continue;
+                    }
+
+                    // check if the edges self-intersect. This can only happen when
+                    // start and end point are different
+                    bool bRangesSet(false);
+
+                    if(!(bSameStartPoint || bSameEndPoint))
+                    {
+                        // get XRanges of edges
+                        aLeftRange = B1DRange(aLeft.getStart().getX(), aLeftEnd.getX());
+                        aRightRange = B1DRange(aRight.getStart().getX(), aRightEnd.getX());
+                        bRangesSet = true;
+
+                        // use fast range test first
+                        if(aLeftRange.overlaps(aRightRange))
+                        {
+                            // real cut test and correction. If correction was needed,
+                            // start new run
+                            if(testAndCorrectEdgeIntersection(aLeft, aRight, aCurrent))
+                            {
+                                continue;
+                            }
+                        }
+                    }
+
+                    // now we need to check if there are intersections with other edges
+                    // or if other edges start inside the candidate trapezoid
+                    if(aCurrent != maTrDeEdgeEntries.end()
+                        && fTools::less(aCurrent->getStart().getY(), aLeftEnd.getY()))
+                    {
+                        // get XRanges of edges
+                        if(!bRangesSet)
+                        {
+                            aLeftRange = B1DRange(aLeft.getStart().getX(), aLeftEnd.getX());
+                            aRightRange = B1DRange(aRight.getStart().getX(), aRightEnd.getX());
+                        }
+
+                        // build full XRange for fast check
+                        B1DRange aAllRange(aLeftRange);
+                        aAllRange.expand(aRightRange);
+
+                        // prepare loop iterator; aCurrent needs to stay unchanged for
+                        // possibly sorted insertions of new EdgeNodes. Also prepare stop flag
+                        TrDeEdgeEntries::iterator aLoop(aCurrent);
+                        bool bDone(false);
+
+                        do
+                        {
+                            // get compare edge and its XRange
+                            TrDeEdgeEntries::reference aCompare(*aLoop++);
+
+                            // avoid edges using the same start point as one of
+                            // the edges. These can neither have their start point
+                            // in the thought trapezoid nor cut with one of the edges
+                            if(aCompare.getStart().equal(aRight.getStart()))
+                            {
+                                continue;
+                            }
+
+                            // get compare XRange
+                            const B1DRange aCompareRange(aCompare.getStart().getX(), aCompare.getEnd().getX());
+
+                            // use fast range test first
+                            if(aAllRange.overlaps(aCompareRange))
+                            {
+                                // check for start point inside thought trapezoid
+                                if(fTools::more(aCompare.getStart().getY(), aLeft.getStart().getY()))
+                                {
+                                    // calculate the two possible split points at compare's Y
+                                    const B2DPoint aSplitLeft(aLeft.getCutPointForGivenY(aCompare.getStart().getY()));
+                                    const B2DPoint aSplitRight(aRight.getCutPointForGivenY(aCompare.getStart().getY()));
+
+                                    // check for start point of aCompare being inside thought
+                                    // trapezoid
+                                    if(aCompare.getStart().getX() >= aSplitLeft.getX() &&
+                                        aCompare.getStart().getX() <= aSplitRight.getX())
+                                    {
+                                        // is inside, correct and restart loop
+                                        B2DPoint* pNewLeft = maNewPoints.allocatePoint(aSplitLeft);
+
+                                        if(splitEdgeAtGivenPoint(aLeft, *pNewLeft, aCurrent))
+                                        {
+                                            bDone = true;
+                                        }
+                                        else
+                                        {
+                                            maNewPoints.freeIfLast(pNewLeft);
+                                        }
+
+                                        B2DPoint* pNewRight = maNewPoints.allocatePoint(aSplitRight);
+
+                                        if(splitEdgeAtGivenPoint(aRight, *pNewRight, aCurrent))
+                                        {
+                                            bDone = true;
+                                        }
+                                        else
+                                        {
+                                            maNewPoints.freeIfLast(pNewRight);
+                                        }
+                                    }
+                                }
+
+                                if(!bDone && aLeftRange.overlaps(aCompareRange))
+                                {
+                                    // test for concrete cut of compare edge with left edge
+                                    bDone = testAndCorrectEdgeIntersection(aLeft, aCompare, aCurrent);
+                                }
+
+                                if(!bDone && aRightRange.overlaps(aCompareRange))
+                                {
+                                    // test for concrete cut of compare edge with Right edge
+                                    bDone = testAndCorrectEdgeIntersection(aRight, aCompare, aCurrent);
+                                }
+                            }
+                        }
+                        while(!bDone
+                            && aLoop != maTrDeEdgeEntries.end()
+                            && fTools::less(aLoop->getStart().getY(), aLeftEnd.getY()));
+
+                        if(bDone)
+                        {
+                            // something needed to be changed; start next loop
+                            continue;
+                        }
+                    }
+
+                    // when we get here, the intended trapezoid can be used. It needs to
+                    // be corrected possibly (if prepared); but this is no reason not to
+                    // use it in the same loop iteration
+                    if(!bEndOnSameLine)
+                    {
+                        if(bLeftIsLonger)
+                        {
+                            B2DPoint* pNewPoint = maNewPoints.allocatePoint(aLeftEnd);
+
+                            if(!splitEdgeAtGivenPoint(aLeft, *pNewPoint, aCurrent))
+                            {
+                                maNewPoints.freeIfLast(pNewPoint);
+                            }
+                        }
+                        else
+                        {
+                            B2DPoint* pNewPoint = maNewPoints.allocatePoint(aRightEnd);
+
+                            if(!splitEdgeAtGivenPoint(aRight, *pNewPoint, aCurrent))
+                            {
+                                maNewPoints.freeIfLast(pNewPoint);
+                            }
+                        }
+                    }
+
+                    // the two edges start at the same Y, they use the same DeltaY, they
+                    // do not cut themselves and not any other edge in range. Create a
+                    // B2DTrapezoid and consume both edges
+                    ro_Result.emplace_back(
+                            aLeft.getStart().getX(),
+                            aRight.getStart().getX(),
+                            aLeft.getStart().getY(),
+                            aLeftEnd.getX(),
+                            aRightEnd.getX(),
+                            aLeftEnd.getY());
+
+                    maTrDeEdgeEntries.pop_front();
+                    maTrDeEdgeEntries.pop_front();
+                }
+            }
+        };
+
+        }
+} // end of namespace
+
+namespace basegfx
+{
+    B2DTrapezoid::B2DTrapezoid(
+        const double& rfTopXLeft,
+        const double& rfTopXRight,
+        const double& rfTopY,
+        const double& rfBottomXLeft,
+        const double& rfBottomXRight,
+        const double& rfBottomY)
+    :   mfTopXLeft(rfTopXLeft),
+        mfTopXRight(rfTopXRight),
+        mfTopY(rfTopY),
+        mfBottomXLeft(rfBottomXLeft),
+        mfBottomXRight(rfBottomXRight),
+        mfBottomY(rfBottomY)
+    {
+        // guarantee mfTopXRight >= mfTopXLeft
+        if(mfTopXLeft > mfTopXRight)
+        {
+            std::swap(mfTopXLeft, mfTopXRight);
+        }
+
+        // guarantee mfBottomXRight >= mfBottomXLeft
+        if(mfBottomXLeft > mfBottomXRight)
+        {
+            std::swap(mfBottomXLeft, mfBottomXRight);
+        }
+
+        // guarantee mfBottomY >= mfTopY
+        if(mfTopY > mfBottomY)
+        {
+            std::swap(mfTopY, mfBottomY);
+            std::swap(mfTopXLeft, mfBottomXLeft);
+            std::swap(mfTopXRight, mfBottomXRight);
+        }
+    }
+
+    B2DPolygon B2DTrapezoid::getB2DPolygon() const
+    {
+        B2DPolygon aRetval;
+
+        aRetval.append(B2DPoint(getTopXLeft(), getTopY()));
+        aRetval.append(B2DPoint(getTopXRight(), getTopY()));
+        aRetval.append(B2DPoint(getBottomXRight(), getBottomY()));
+        aRetval.append(B2DPoint(getBottomXLeft(), getBottomY()));
+        aRetval.setClosed(true);
+
+        return aRetval;
+    }
+} // end of namespace basegfx
+
+namespace basegfx::utils
+{
+        // convert Source utils::PolyPolygon to trapezoids
+        void trapezoidSubdivide(B2DTrapezoidVector& ro_Result, const B2DPolyPolygon& rSourcePolyPolygon)
+        {
+            trapezoidhelper::TrapezoidSubdivider aTrapezoidSubdivider(rSourcePolyPolygon);
+
+            aTrapezoidSubdivider.Subdivide(ro_Result);
+        }
+
+        void createLineTrapezoidFromEdge(
+            B2DTrapezoidVector& ro_Result,
+            const B2DPoint& rPointA,
+            const B2DPoint& rPointB,
+            double fLineWidth)
+        {
+            if(fTools::lessOrEqual(fLineWidth, 0.0))
+            {
+                // no line width
+                return;
+            }
+
+            if(rPointA.equal(rPointB))
+            {
+                // points are equal, no edge
+                return;
+            }
+
+            const double fHalfLineWidth(0.5 * fLineWidth);
+
+            if(fTools::equal(rPointA.getX(), rPointB.getX()))
+            {
+                // vertical line
+                const double fLeftX(rPointA.getX() - fHalfLineWidth);
+                const double fRightX(rPointA.getX() + fHalfLineWidth);
+
+                ro_Result.emplace_back(
+                        fLeftX,
+                        fRightX,
+                        std::min(rPointA.getY(), rPointB.getY()),
+                        fLeftX,
+                        fRightX,
+                        std::max(rPointA.getY(), rPointB.getY()));
+            }
+            else if(fTools::equal(rPointA.getY(), rPointB.getY()))
+            {
+                // horizontal line
+                const double fLeftX(std::min(rPointA.getX(), rPointB.getX()));
+                const double fRightX(std::max(rPointA.getX(), rPointB.getX()));
+
+                ro_Result.emplace_back(
+                        fLeftX,
+                        fRightX,
+                        rPointA.getY() - fHalfLineWidth,
+                        fLeftX,
+                        fRightX,
+                        rPointA.getY() + fHalfLineWidth);
+            }
+            else
+            {
+                // diagonal line
+                // create perpendicular vector
+                const B2DVector aDelta(rPointB - rPointA);
+                B2DVector aPerpendicular(-aDelta.getY(), aDelta.getX());
+                aPerpendicular.setLength(fHalfLineWidth);
+
+                // create StartLow, StartHigh, EndLow and EndHigh
+                const B2DPoint aStartLow(rPointA + aPerpendicular);
+                const B2DPoint aStartHigh(rPointA - aPerpendicular);
+                const B2DPoint aEndHigh(rPointB - aPerpendicular);
+                const B2DPoint aEndLow(rPointB + aPerpendicular);
+
+                // create EdgeEntries
+                basegfx::trapezoidhelper::TrDeEdgeEntries aTrDeEdgeEntries;
+
+                aTrDeEdgeEntries.emplace_back(&aStartLow, &aStartHigh, 0);
+                aTrDeEdgeEntries.emplace_back(&aStartHigh, &aEndHigh, 0);
+                aTrDeEdgeEntries.emplace_back(&aEndHigh, &aEndLow, 0);
+                aTrDeEdgeEntries.emplace_back(&aEndLow, &aStartLow, 0);
+                aTrDeEdgeEntries.sort();
+
+                // here we know we have exactly four edges, and they do not cut, touch or
+                // intersect. This makes processing much easier. Get the first two as start
+                // edges for the thought trapezoid
+                basegfx::trapezoidhelper::TrDeEdgeEntries::iterator aCurrent(aTrDeEdgeEntries.begin());
+                basegfx::trapezoidhelper::TrDeEdgeEntries::reference aLeft(*aCurrent++);
+                basegfx::trapezoidhelper::TrDeEdgeEntries::reference aRight(*aCurrent++);
+                const bool bEndOnSameLine(fTools::equal(aLeft.getEnd().getY(), aRight.getEnd().getY()));
+
+                if(bEndOnSameLine)
+                {
+                    // create two triangle trapezoids
+                    ro_Result.emplace_back(
+                            aLeft.getStart().getX(),
+                            aRight.getStart().getX(),
+                            aLeft.getStart().getY(),
+                            aLeft.getEnd().getX(),
+                            aRight.getEnd().getX(),
+                            aLeft.getEnd().getY());
+
+                    basegfx::trapezoidhelper::TrDeEdgeEntries::reference aLeft2(*aCurrent++);
+                    basegfx::trapezoidhelper::TrDeEdgeEntries::reference aRight2(*aCurrent++);
+
+                    ro_Result.emplace_back(
+                            aLeft2.getStart().getX(),
+                            aRight2.getStart().getX(),
+                            aLeft2.getStart().getY(),
+                            aLeft2.getEnd().getX(),
+                            aRight2.getEnd().getX(),
+                            aLeft2.getEnd().getY());
+                }
+                else
+                {
+                    // create three trapezoids. Check which edge is longer and
+                    // correct accordingly
+                    const bool bLeftIsLonger(fTools::more(aLeft.getEnd().getY(), aRight.getEnd().getY()));
+
+                    if(bLeftIsLonger)
+                    {
+                        basegfx::trapezoidhelper::TrDeEdgeEntries::reference aRight2(*aCurrent++);
+                        basegfx::trapezoidhelper::TrDeEdgeEntries::reference aLeft2(*aCurrent++);
+                        const B2DPoint aSplitLeft(aLeft.getCutPointForGivenY(aRight.getEnd().getY()));
+                        const B2DPoint aSplitRight(aRight2.getCutPointForGivenY(aLeft.getEnd().getY()));
+
+                        ro_Result.emplace_back(
+                                aLeft.getStart().getX(),
+                                aRight.getStart().getX(),
+                                aLeft.getStart().getY(),
+                                aSplitLeft.getX(),
+                                aRight.getEnd().getX(),
+                                aRight.getEnd().getY());
+
+                        ro_Result.emplace_back(
+                                aSplitLeft.getX(),
+                                aRight.getEnd().getX(),
+                                aRight.getEnd().getY(),
+                                aLeft2.getStart().getX(),
+                                aSplitRight.getX(),
+                                aLeft2.getStart().getY());
+
+                        ro_Result.emplace_back(
+                                aLeft2.getStart().getX(),
+                                aSplitRight.getX(),
+                                aLeft2.getStart().getY(),
+                                aLeft2.getEnd().getX(),
+                                aRight2.getEnd().getX(),
+                                aLeft2.getEnd().getY());
+                    }
+                    else
+                    {
+                        basegfx::trapezoidhelper::TrDeEdgeEntries::reference aLeft2(*aCurrent++);
+                        basegfx::trapezoidhelper::TrDeEdgeEntries::reference aRight2(*aCurrent++);
+                        const B2DPoint aSplitRight(aRight.getCutPointForGivenY(aLeft.getEnd().getY()));
+                        const B2DPoint aSplitLeft(aLeft2.getCutPointForGivenY(aRight.getEnd().getY()));
+
+                        ro_Result.emplace_back(
+                                aLeft.getStart().getX(),
+                                aRight.getStart().getX(),
+                                aLeft.getStart().getY(),
+                                aLeft.getEnd().getX(),
+                                aSplitRight.getX(),
+                                aLeft.getEnd().getY());
+
+                        ro_Result.emplace_back(
+                                aLeft.getEnd().getX(),
+                                aSplitRight.getX(),
+                                aLeft.getEnd().getY(),
+                                aSplitLeft.getX(),
+                                aRight.getEnd().getX(),
+                                aRight2.getStart().getY());
+
+                        ro_Result.emplace_back(
+                                aSplitLeft.getX(),
+                                aRight.getEnd().getX(),
+                                aRight2.getStart().getY(),
+                                aLeft2.getEnd().getX(),
+                                aRight2.getEnd().getX(),
+                                aLeft2.getEnd().getY());
+                    }
+                }
+            }
+        }
+
+        void createLineTrapezoidFromB2DPolygon(
+            B2DTrapezoidVector& ro_Result,
+            const B2DPolygon& rPolygon,
+            double fLineWidth)
+        {
+            if(fTools::lessOrEqual(fLineWidth, 0.0))
+            {
+                return;
+            }
+
+            // ensure there are no curves used
+            B2DPolygon aSource(rPolygon);
+
+            if(aSource.areControlPointsUsed())
+            {
+                const double fPrecisionFactor = 0.25;
+                aSource = adaptiveSubdivideByDistance( aSource, fLineWidth * fPrecisionFactor );
+            }
+
+            const sal_uInt32 nPointCount(aSource.count());
+
+            if(!nPointCount)
+            {
+                return;
+            }
+
+            const sal_uInt32 nEdgeCount(aSource.isClosed() ? nPointCount : nPointCount - 1);
+            B2DPoint aCurrent(aSource.getB2DPoint(0));
+
+            ro_Result.reserve(ro_Result.size() + (3 * nEdgeCount));
+
+            for(sal_uInt32 a(0); a < nEdgeCount; a++)
+            {
+                const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                const B2DPoint aNext(aSource.getB2DPoint(nNextIndex));
+
+                createLineTrapezoidFromEdge(ro_Result, aCurrent, aNext, fLineWidth);
+                aCurrent = aNext;
+            }
+        }
+
+
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b3dpolygon.cxx b/basegfx/source/polygon/b3dpolygon.cxx
new file mode 100644
index 000000000..c1ee4b083
--- /dev/null
+++ b/basegfx/source/polygon/b3dpolygon.cxx
@@ -0,0 +1,1617 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <osl/diagnose.h>
+#include <basegfx/polygon/b3dpolygon.hxx>
+#include <basegfx/point/b3dpoint.hxx>
+#include <basegfx/matrix/b3dhommatrix.hxx>
+#include <basegfx/point/b2dpoint.hxx>
+#include <basegfx/color/bcolor.hxx>
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <cassert>
+#include <memory>
+#include <utility>
+#include <vector>
+#include <algorithm>
+
+namespace {
+
+class CoordinateData3D
+{
+    basegfx::B3DPoint                               maPoint;
+
+public:
+    CoordinateData3D()
+    {
+    }
+
+    explicit CoordinateData3D(const basegfx::B3DPoint& rData)
+    :   maPoint(rData)
+    {
+    }
+
+    const basegfx::B3DPoint& getCoordinate() const
+    {
+        return maPoint;
+    }
+
+    void setCoordinate(const basegfx::B3DPoint& rValue)
+    {
+        if(rValue != maPoint)
+            maPoint = rValue;
+    }
+
+    bool operator==(const CoordinateData3D& rData) const
+    {
+        return (maPoint == rData.getCoordinate());
+    }
+
+    void transform(const basegfx::B3DHomMatrix& rMatrix)
+    {
+        maPoint *= rMatrix;
+    }
+};
+
+class CoordinateDataArray3D
+{
+    typedef std::vector< CoordinateData3D > CoordinateData3DVector;
+
+    CoordinateData3DVector                          maVector;
+
+public:
+    explicit CoordinateDataArray3D(sal_uInt32 nCount)
+    :   maVector(nCount)
+    {
+    }
+
+    CoordinateDataArray3D(const CoordinateDataArray3D& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount)
+    :   maVector(rOriginal.maVector.begin() + nIndex, rOriginal.maVector.begin() + (nIndex + nCount))
+    {
+    }
+
+    ::basegfx::B3DVector getNormal() const
+    {
+        ::basegfx::B3DVector aRetval;
+        const sal_uInt32 nPointCount(maVector.size());
+
+        if(nPointCount > 2)
+        {
+            sal_uInt32 nISmallest(0);
+            sal_uInt32 a(0);
+            const basegfx::B3DPoint* pSmallest(&maVector[0].getCoordinate());
+            const basegfx::B3DPoint* pNext(nullptr);
+            const basegfx::B3DPoint* pPrev(nullptr);
+
+            // To guarantee a correctly oriented point, choose an outmost one
+            // which then cannot be concave
+            for(a = 1; a < nPointCount; a++)
+            {
+                const basegfx::B3DPoint& rCandidate = maVector[a].getCoordinate();
+
+                if((rCandidate.getX() < pSmallest->getX())
+                    || (rCandidate.getX() == pSmallest->getX() && rCandidate.getY() < pSmallest->getY())
+                    || (rCandidate.getX() == pSmallest->getX() && rCandidate.getY() == pSmallest->getY() && rCandidate.getZ() < pSmallest->getZ()))
+                {
+                    nISmallest = a;
+                    pSmallest = &rCandidate;
+                }
+            }
+
+            // look for a next point different from minimal one
+            for(a = (nISmallest + 1) % nPointCount; a != nISmallest; a = (a + 1) % nPointCount)
+            {
+                const basegfx::B3DPoint& rCandidate = maVector[a].getCoordinate();
+
+                if(!rCandidate.equal(*pSmallest))
+                {
+                    pNext = &rCandidate;
+                    break;
+                }
+            }
+
+            // look for a previous point different from minimal one
+            for(a = (nISmallest + nPointCount - 1) % nPointCount; a != nISmallest; a = (a + nPointCount - 1) % nPointCount)
+            {
+                const basegfx::B3DPoint& rCandidate = maVector[a].getCoordinate();
+
+                if(!rCandidate.equal(*pSmallest))
+                {
+                    pPrev = &rCandidate;
+                    break;
+                }
+            }
+
+            // we always have a minimal point. If we also have a different next and previous,
+            // we can calculate the normal
+            if(pNext && pPrev)
+            {
+                const basegfx::B3DVector aPrev(*pPrev - *pSmallest);
+                const basegfx::B3DVector aNext(*pNext - *pSmallest);
+
+                aRetval = cross(aPrev, aNext);
+                aRetval.normalize();
+            }
+        }
+
+        return aRetval;
+    }
+
+    sal_uInt32 count() const
+    {
+        return maVector.size();
+    }
+
+    bool operator==(const CoordinateDataArray3D& rCandidate) const
+    {
+        return (maVector == rCandidate.maVector);
+    }
+
+    const basegfx::B3DPoint& getCoordinate(sal_uInt32 nIndex) const
+    {
+        return maVector[nIndex].getCoordinate();
+    }
+
+    void setCoordinate(sal_uInt32 nIndex, const basegfx::B3DPoint& rValue)
+    {
+        maVector[nIndex].setCoordinate(rValue);
+    }
+
+    void insert(sal_uInt32 nIndex, const CoordinateData3D& rValue, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // add nCount copies of rValue
+            CoordinateData3DVector::iterator aIndex(maVector.begin());
+            aIndex += nIndex;
+            maVector.insert(aIndex, nCount, rValue);
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const CoordinateDataArray3D& rSource)
+    {
+        const sal_uInt32 nCount(rSource.maVector.size());
+
+        if(nCount)
+        {
+            // insert data
+            CoordinateData3DVector::iterator aIndex(maVector.begin());
+            aIndex += nIndex;
+            CoordinateData3DVector::const_iterator aStart(rSource.maVector.begin());
+            CoordinateData3DVector::const_iterator aEnd(rSource.maVector.end());
+            maVector.insert(aIndex, aStart, aEnd);
+        }
+    }
+
+    void remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // remove point data
+            CoordinateData3DVector::iterator aStart(maVector.begin());
+            aStart += nIndex;
+            const CoordinateData3DVector::iterator aEnd(aStart + nCount);
+            maVector.erase(aStart, aEnd);
+        }
+    }
+
+    void flip()
+    {
+        if(maVector.size() <= 1)
+            return;
+
+        const sal_uInt32 nHalfSize(maVector.size() >> 1);
+        CoordinateData3DVector::iterator aStart(maVector.begin());
+        CoordinateData3DVector::iterator aEnd(maVector.end() - 1);
+
+        for(sal_uInt32 a(0); a < nHalfSize; a++)
+        {
+            std::swap(*aStart, *aEnd);
+            ++aStart;
+            --aEnd;
+        }
+    }
+
+    void transform(const ::basegfx::B3DHomMatrix& rMatrix)
+    {
+        for (auto & elem : maVector)
+        {
+            elem.transform(rMatrix);
+        }
+    }
+};
+
+class BColorArray
+{
+    typedef std::vector< ::basegfx::BColor > BColorDataVector;
+
+    BColorDataVector                                    maVector;
+    sal_uInt32                                          mnUsedEntries;
+
+public:
+    explicit BColorArray(sal_uInt32 nCount)
+    :   maVector(nCount),
+        mnUsedEntries(0)
+    {
+    }
+
+    BColorArray(const BColorArray& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount)
+    :   mnUsedEntries(0)
+    {
+        BColorDataVector::const_iterator aStart(rOriginal.maVector.begin());
+        aStart += nIndex;
+        BColorDataVector::const_iterator aEnd(aStart);
+        assert(nCount <= rOriginal.maVector.size());
+        aEnd += nCount;
+        maVector.reserve(nCount);
+
+        for(; aStart != aEnd; ++aStart)
+        {
+            if(!aStart->equalZero())
+                mnUsedEntries++;
+
+            maVector.push_back(*aStart);
+        }
+    }
+
+    bool operator==(const BColorArray& rCandidate) const
+    {
+        return (maVector == rCandidate.maVector);
+    }
+
+    bool isUsed() const
+    {
+        return (mnUsedEntries != 0);
+    }
+
+    const ::basegfx::BColor& getBColor(sal_uInt32 nIndex) const
+    {
+        return maVector[nIndex];
+    }
+
+    void setBColor(sal_uInt32 nIndex, const ::basegfx::BColor& rValue)
+    {
+        bool bWasUsed(mnUsedEntries && !maVector[nIndex].equalZero());
+        bool bIsUsed(!rValue.equalZero());
+
+        if(bWasUsed)
+        {
+            if(bIsUsed)
+            {
+                maVector[nIndex] = rValue;
+            }
+            else
+            {
+                maVector[nIndex] = ::basegfx::BColor::getEmptyBColor();
+                mnUsedEntries--;
+            }
+        }
+        else
+        {
+            if(bIsUsed)
+            {
+                maVector[nIndex] = rValue;
+                mnUsedEntries++;
+            }
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const ::basegfx::BColor& rValue, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // add nCount copies of rValue
+            BColorDataVector::iterator aIndex(maVector.begin());
+            aIndex += nIndex;
+            maVector.insert(aIndex, nCount, rValue);
+
+            if(!rValue.equalZero())
+                mnUsedEntries += nCount;
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const BColorArray& rSource)
+    {
+        const sal_uInt32 nCount(rSource.maVector.size());
+
+        if(nCount)
+        {
+            // insert data
+            BColorDataVector::iterator aIndex(maVector.begin());
+            aIndex += nIndex;
+            BColorDataVector::const_iterator aStart(rSource.maVector.begin());
+            BColorDataVector::const_iterator aEnd(rSource.maVector.end());
+            maVector.insert(aIndex, aStart, aEnd);
+
+            mnUsedEntries += std::count_if(aStart, aEnd,
+                [](BColorDataVector::const_reference rData) { return !rData.equalZero(); });
+        }
+    }
+
+    void remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            const BColorDataVector::iterator aDeleteStart(maVector.begin() + nIndex);
+            const BColorDataVector::iterator aDeleteEnd(aDeleteStart + nCount);
+
+            auto nDeleteUsed = std::count_if(aDeleteStart, aDeleteEnd,
+                [](BColorDataVector::const_reference rData) { return !rData.equalZero(); });
+            mnUsedEntries -= std::min(mnUsedEntries, static_cast<sal_uInt32>(nDeleteUsed));
+
+            // remove point data
+            maVector.erase(aDeleteStart, aDeleteEnd);
+        }
+    }
+
+    void flip()
+    {
+        if(maVector.size() <= 1)
+            return;
+
+        const sal_uInt32 nHalfSize(maVector.size() >> 1);
+        BColorDataVector::iterator aStart(maVector.begin());
+        BColorDataVector::iterator aEnd(maVector.end() - 1);
+
+        for(sal_uInt32 a(0); a < nHalfSize; a++)
+        {
+            std::swap(*aStart, *aEnd);
+            ++aStart;
+            --aEnd;
+        }
+    }
+};
+
+class NormalsArray3D
+{
+    typedef std::vector< ::basegfx::B3DVector > NormalsData3DVector;
+
+    NormalsData3DVector                                 maVector;
+    sal_uInt32                                          mnUsedEntries;
+
+public:
+    explicit NormalsArray3D(sal_uInt32 nCount)
+    :   maVector(nCount),
+        mnUsedEntries(0)
+    {
+    }
+
+    NormalsArray3D(const NormalsArray3D& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount)
+    :   mnUsedEntries(0)
+    {
+        NormalsData3DVector::const_iterator aStart(rOriginal.maVector.begin());
+        aStart += nIndex;
+        NormalsData3DVector::const_iterator aEnd(aStart);
+        aEnd += nCount;
+        maVector.reserve(nCount);
+
+        for(; aStart != aEnd; ++aStart)
+        {
+            if(!aStart->equalZero())
+                mnUsedEntries++;
+
+            maVector.push_back(*aStart);
+        }
+    }
+
+    bool operator==(const NormalsArray3D& rCandidate) const
+    {
+        return (maVector == rCandidate.maVector);
+    }
+
+    bool isUsed() const
+    {
+        return (mnUsedEntries != 0);
+    }
+
+    const ::basegfx::B3DVector& getNormal(sal_uInt32 nIndex) const
+    {
+        return maVector[nIndex];
+    }
+
+    void setNormal(sal_uInt32 nIndex, const ::basegfx::B3DVector& rValue)
+    {
+        bool bWasUsed(mnUsedEntries && !maVector[nIndex].equalZero());
+        bool bIsUsed(!rValue.equalZero());
+
+        if(bWasUsed)
+        {
+            if(bIsUsed)
+            {
+                maVector[nIndex] = rValue;
+            }
+            else
+            {
+                maVector[nIndex] = ::basegfx::B3DVector::getEmptyVector();
+                mnUsedEntries--;
+            }
+        }
+        else
+        {
+            if(bIsUsed)
+            {
+                maVector[nIndex] = rValue;
+                mnUsedEntries++;
+            }
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const ::basegfx::B3DVector& rValue, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // add nCount copies of rValue
+            NormalsData3DVector::iterator aIndex(maVector.begin());
+            aIndex += nIndex;
+            maVector.insert(aIndex, nCount, rValue);
+
+            if(!rValue.equalZero())
+                mnUsedEntries += nCount;
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const NormalsArray3D& rSource)
+    {
+        const sal_uInt32 nCount(rSource.maVector.size());
+
+        if(nCount)
+        {
+            // insert data
+            NormalsData3DVector::iterator aIndex(maVector.begin());
+            aIndex += nIndex;
+            NormalsData3DVector::const_iterator aStart(rSource.maVector.begin());
+            NormalsData3DVector::const_iterator aEnd(rSource.maVector.end());
+            maVector.insert(aIndex, aStart, aEnd);
+
+            mnUsedEntries += std::count_if(aStart, aEnd,
+                [](NormalsData3DVector::const_reference rData) { return !rData.equalZero(); });
+        }
+    }
+
+    void remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            const NormalsData3DVector::iterator aDeleteStart(maVector.begin() + nIndex);
+            const NormalsData3DVector::iterator aDeleteEnd(aDeleteStart + nCount);
+
+            auto nDeleteUsed = std::count_if(aDeleteStart, aDeleteEnd,
+                [](NormalsData3DVector::const_reference rData) { return !rData.equalZero(); });
+            mnUsedEntries -= std::min(mnUsedEntries, static_cast<sal_uInt32>(nDeleteUsed));
+
+            // remove point data
+            maVector.erase(aDeleteStart, aDeleteEnd);
+        }
+    }
+
+    void flip()
+    {
+        if(maVector.size() <= 1)
+            return;
+
+        const sal_uInt32 nHalfSize(maVector.size() >> 1);
+        NormalsData3DVector::iterator aStart(maVector.begin());
+        NormalsData3DVector::iterator aEnd(maVector.end() - 1);
+
+        for(sal_uInt32 a(0); a < nHalfSize; a++)
+        {
+            std::swap(*aStart, *aEnd);
+            ++aStart;
+            --aEnd;
+        }
+    }
+
+    void transform(const basegfx::B3DHomMatrix& rMatrix)
+    {
+        for (auto & elem : maVector)
+        {
+            elem *= rMatrix;
+        }
+    }
+};
+
+class TextureCoordinate2D
+{
+    typedef std::vector< ::basegfx::B2DPoint > TextureData2DVector;
+
+    TextureData2DVector                                 maVector;
+    sal_uInt32                                          mnUsedEntries;
+
+public:
+    explicit TextureCoordinate2D(sal_uInt32 nCount)
+    :   maVector(nCount),
+        mnUsedEntries(0)
+    {
+    }
+
+    TextureCoordinate2D(const TextureCoordinate2D& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount)
+    :   mnUsedEntries(0)
+    {
+        TextureData2DVector::const_iterator aStart(rOriginal.maVector.begin());
+        aStart += nIndex;
+        TextureData2DVector::const_iterator aEnd(aStart);
+        aEnd += nCount;
+        maVector.reserve(nCount);
+
+        for(; aStart != aEnd; ++aStart)
+        {
+            if(!aStart->equalZero())
+                mnUsedEntries++;
+
+            maVector.push_back(*aStart);
+        }
+    }
+
+    bool operator==(const TextureCoordinate2D& rCandidate) const
+    {
+        return (maVector == rCandidate.maVector);
+    }
+
+    bool isUsed() const
+    {
+        return (mnUsedEntries != 0);
+    }
+
+    const ::basegfx::B2DPoint& getTextureCoordinate(sal_uInt32 nIndex) const
+    {
+        return maVector[nIndex];
+    }
+
+    void setTextureCoordinate(sal_uInt32 nIndex, const ::basegfx::B2DPoint& rValue)
+    {
+        bool bWasUsed(mnUsedEntries && !maVector[nIndex].equalZero());
+        bool bIsUsed(!rValue.equalZero());
+
+        if(bWasUsed)
+        {
+            if(bIsUsed)
+            {
+                maVector[nIndex] = rValue;
+            }
+            else
+            {
+                maVector[nIndex] = ::basegfx::B2DPoint::getEmptyPoint();
+                mnUsedEntries--;
+            }
+        }
+        else
+        {
+            if(bIsUsed)
+            {
+                maVector[nIndex] = rValue;
+                mnUsedEntries++;
+            }
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const ::basegfx::B2DPoint& rValue, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // add nCount copies of rValue
+            TextureData2DVector::iterator aIndex(maVector.begin());
+            aIndex += nIndex;
+            maVector.insert(aIndex, nCount, rValue);
+
+            if(!rValue.equalZero())
+                mnUsedEntries += nCount;
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const TextureCoordinate2D& rSource)
+    {
+        const sal_uInt32 nCount(rSource.maVector.size());
+
+        if(nCount)
+        {
+            // insert data
+            TextureData2DVector::iterator aIndex(maVector.begin());
+            aIndex += nIndex;
+            TextureData2DVector::const_iterator aStart(rSource.maVector.begin());
+            TextureData2DVector::const_iterator aEnd(rSource.maVector.end());
+            maVector.insert(aIndex, aStart, aEnd);
+
+            mnUsedEntries += std::count_if(aStart, aEnd,
+                [](TextureData2DVector::const_reference rData) { return !rData.equalZero(); });
+        }
+    }
+
+    void remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            const TextureData2DVector::iterator aDeleteStart(maVector.begin() + nIndex);
+            const TextureData2DVector::iterator aDeleteEnd(aDeleteStart + nCount);
+
+            auto nDeleteUsed = std::count_if(aDeleteStart, aDeleteEnd,
+                [](TextureData2DVector::const_reference rData) { return !rData.equalZero(); });
+            mnUsedEntries -= std::min(mnUsedEntries, static_cast<sal_uInt32>(nDeleteUsed));
+
+            // remove point data
+            maVector.erase(aDeleteStart, aDeleteEnd);
+        }
+    }
+
+    void flip()
+    {
+        if(maVector.size() <= 1)
+            return;
+
+        const sal_uInt32 nHalfSize(maVector.size() >> 1);
+        TextureData2DVector::iterator aStart(maVector.begin());
+        TextureData2DVector::iterator aEnd(maVector.end() - 1);
+
+        for(sal_uInt32 a(0); a < nHalfSize; a++)
+        {
+            std::swap(*aStart, *aEnd);
+            ++aStart;
+            --aEnd;
+        }
+    }
+
+    void transform(const ::basegfx::B2DHomMatrix& rMatrix)
+    {
+        for (auto & elem : maVector)
+        {
+            elem *= rMatrix;
+        }
+    }
+};
+
+}
+
+class ImplB3DPolygon
+{
+    // The point vector. This vector exists always and defines the
+    // count of members.
+    CoordinateDataArray3D                           maPoints;
+
+    // The BColor vector. This vectors are created on demand
+    // and may be zero.
+    std::unique_ptr<BColorArray>                    mpBColors;
+
+    // The Normals vector. This vectors are created on demand
+    // and may be zero.
+    std::unique_ptr<NormalsArray3D>                 mpNormals;
+
+    // The TextureCoordinates vector. This vectors are created on demand
+    // and may be zero.
+    std::unique_ptr<TextureCoordinate2D>            mpTextureCoordinates;
+
+    // The calculated plane normal. mbPlaneNormalValid says if it's valid.
+    ::basegfx::B3DVector                            maPlaneNormal;
+
+    // flag which decides if this polygon is opened or closed
+    bool                                            mbIsClosed : 1;
+
+    // flag which says if maPlaneNormal is up-to-date
+    bool                                            mbPlaneNormalValid : 1;
+
+protected:
+    void invalidatePlaneNormal()
+    {
+        if(mbPlaneNormalValid)
+        {
+            mbPlaneNormalValid = false;
+        }
+    }
+
+public:
+    // This constructor is only used from the static identity polygon, thus
+    // the RefCount is set to 1 to never 'delete' this static incarnation.
+    ImplB3DPolygon()
+    :   maPoints(0),
+        maPlaneNormal(::basegfx::B3DVector::getEmptyVector()),
+        mbIsClosed(false),
+        mbPlaneNormalValid(true)
+    {
+        // complete initialization with defaults
+    }
+
+    ImplB3DPolygon(const ImplB3DPolygon& rToBeCopied)
+    :   maPoints(rToBeCopied.maPoints),
+        maPlaneNormal(rToBeCopied.maPlaneNormal),
+        mbIsClosed(rToBeCopied.mbIsClosed),
+        mbPlaneNormalValid(rToBeCopied.mbPlaneNormalValid)
+    {
+        // complete initialization using copy
+        if(rToBeCopied.mpBColors && rToBeCopied.mpBColors->isUsed())
+        {
+            mpBColors.reset( new BColorArray(*rToBeCopied.mpBColors) );
+        }
+
+        if(rToBeCopied.mpNormals && rToBeCopied.mpNormals->isUsed())
+        {
+            mpNormals.reset( new NormalsArray3D(*rToBeCopied.mpNormals) );
+        }
+
+        if(rToBeCopied.mpTextureCoordinates && rToBeCopied.mpTextureCoordinates->isUsed())
+        {
+            mpTextureCoordinates.reset( new TextureCoordinate2D(*rToBeCopied.mpTextureCoordinates) );
+        }
+    }
+
+    ImplB3DPolygon(const ImplB3DPolygon& rToBeCopied, sal_uInt32 nIndex, sal_uInt32 nCount)
+    :   maPoints(rToBeCopied.maPoints, nIndex, nCount),
+        maPlaneNormal(::basegfx::B3DVector::getEmptyVector()),
+        mbIsClosed(rToBeCopied.mbIsClosed),
+        mbPlaneNormalValid(false)
+    {
+        // complete initialization using partly copy
+        if(rToBeCopied.mpBColors && rToBeCopied.mpBColors->isUsed())
+        {
+            mpBColors.reset( new BColorArray(*rToBeCopied.mpBColors, nIndex, nCount) );
+
+            if(!mpBColors->isUsed())
+            {
+                mpBColors.reset();
+            }
+        }
+
+        if(rToBeCopied.mpNormals && rToBeCopied.mpNormals->isUsed())
+        {
+            mpNormals.reset( new NormalsArray3D(*rToBeCopied.mpNormals, nIndex, nCount) );
+
+            if(!mpNormals->isUsed())
+            {
+                mpNormals.reset();
+            }
+        }
+
+        if(rToBeCopied.mpTextureCoordinates && rToBeCopied.mpTextureCoordinates->isUsed())
+        {
+            mpTextureCoordinates.reset( new TextureCoordinate2D(*rToBeCopied.mpTextureCoordinates, nIndex, nCount) );
+
+            if(!mpTextureCoordinates->isUsed())
+            {
+                mpTextureCoordinates.reset();
+            }
+        }
+    }
+
+    sal_uInt32 count() const
+    {
+        return maPoints.count();
+    }
+
+    bool isClosed() const
+    {
+        return mbIsClosed;
+    }
+
+    void setClosed(bool bNew)
+    {
+        if(bNew != mbIsClosed)
+        {
+            mbIsClosed = bNew;
+        }
+    }
+
+    bool impBColorsAreEqual(const ImplB3DPolygon& rCandidate) const
+    {
+        bool bBColorsAreEqual(true);
+
+        if(mpBColors)
+        {
+            if(rCandidate.mpBColors)
+            {
+                bBColorsAreEqual = (*mpBColors == *rCandidate.mpBColors);
+            }
+            else
+            {
+                // candidate has no BColors, so it's assumed all unused.
+                bBColorsAreEqual = !mpBColors->isUsed();
+            }
+        }
+        else
+        {
+            if(rCandidate.mpBColors)
+            {
+                // we have no TextureCoordinates, so it's assumed all unused.
+                bBColorsAreEqual = !rCandidate.mpBColors->isUsed();
+            }
+        }
+
+        return bBColorsAreEqual;
+    }
+
+    bool impNormalsAreEqual(const ImplB3DPolygon& rCandidate) const
+    {
+        bool bNormalsAreEqual(true);
+
+        if(mpNormals)
+        {
+            if(rCandidate.mpNormals)
+            {
+                bNormalsAreEqual = (*mpNormals == *rCandidate.mpNormals);
+            }
+            else
+            {
+                // candidate has no normals, so it's assumed all unused.
+                bNormalsAreEqual = !mpNormals->isUsed();
+            }
+        }
+        else
+        {
+            if(rCandidate.mpNormals)
+            {
+                // we have no normals, so it's assumed all unused.
+                bNormalsAreEqual = !rCandidate.mpNormals->isUsed();
+            }
+        }
+
+        return bNormalsAreEqual;
+    }
+
+    bool impTextureCoordinatesAreEqual(const ImplB3DPolygon& rCandidate) const
+    {
+        bool bTextureCoordinatesAreEqual(true);
+
+        if(mpTextureCoordinates)
+        {
+            if(rCandidate.mpTextureCoordinates)
+            {
+                bTextureCoordinatesAreEqual = (*mpTextureCoordinates == *rCandidate.mpTextureCoordinates);
+            }
+            else
+            {
+                // candidate has no TextureCoordinates, so it's assumed all unused.
+                bTextureCoordinatesAreEqual = !mpTextureCoordinates->isUsed();
+            }
+        }
+        else
+        {
+            if(rCandidate.mpTextureCoordinates)
+            {
+                // we have no TextureCoordinates, so it's assumed all unused.
+                bTextureCoordinatesAreEqual = !rCandidate.mpTextureCoordinates->isUsed();
+            }
+        }
+
+        return bTextureCoordinatesAreEqual;
+    }
+
+    bool operator==(const ImplB3DPolygon& rCandidate) const
+    {
+        if(mbIsClosed == rCandidate.mbIsClosed)
+        {
+            if(maPoints == rCandidate.maPoints)
+            {
+                if(impBColorsAreEqual(rCandidate))
+                {
+                    if(impNormalsAreEqual(rCandidate))
+                    {
+                        if(impTextureCoordinatesAreEqual(rCandidate))
+                        {
+                            return true;
+                        }
+                    }
+                }
+            }
+        }
+
+        return false;
+    }
+
+    const ::basegfx::B3DPoint& getPoint(sal_uInt32 nIndex) const
+    {
+        return maPoints.getCoordinate(nIndex);
+    }
+
+    void setPoint(sal_uInt32 nIndex, const ::basegfx::B3DPoint& rValue)
+    {
+        maPoints.setCoordinate(nIndex, rValue);
+        invalidatePlaneNormal();
+    }
+
+    void insert(sal_uInt32 nIndex, const ::basegfx::B3DPoint& rPoint, sal_uInt32 nCount)
+    {
+        if(!nCount)
+            return;
+
+        CoordinateData3D aCoordinate(rPoint);
+        maPoints.insert(nIndex, aCoordinate, nCount);
+        invalidatePlaneNormal();
+
+        if(mpBColors)
+        {
+            mpBColors->insert(nIndex, ::basegfx::BColor::getEmptyBColor(), nCount);
+        }
+
+        if(mpNormals)
+        {
+            mpNormals->insert(nIndex, ::basegfx::B3DVector::getEmptyVector(), nCount);
+        }
+
+        if(mpTextureCoordinates)
+        {
+            mpTextureCoordinates->insert(nIndex, ::basegfx::B2DPoint::getEmptyPoint(), nCount);
+        }
+    }
+
+    const ::basegfx::BColor& getBColor(sal_uInt32 nIndex) const
+    {
+        if(mpBColors)
+        {
+            return mpBColors->getBColor(nIndex);
+        }
+        else
+        {
+            return ::basegfx::BColor::getEmptyBColor();
+        }
+    }
+
+    void setBColor(sal_uInt32 nIndex, const ::basegfx::BColor& rValue)
+    {
+        if(!mpBColors)
+        {
+            if(!rValue.equalZero())
+            {
+                mpBColors.reset( new BColorArray(maPoints.count()) );
+                mpBColors->setBColor(nIndex, rValue);
+            }
+        }
+        else
+        {
+            mpBColors->setBColor(nIndex, rValue);
+
+            if(!mpBColors->isUsed())
+            {
+                mpBColors.reset();
+            }
+        }
+    }
+
+    bool areBColorsUsed() const
+    {
+        return (mpBColors && mpBColors->isUsed());
+    }
+
+    void clearBColors()
+    {
+        mpBColors.reset();
+    }
+
+    const ::basegfx::B3DVector& getNormal() const
+    {
+        if(!mbPlaneNormalValid)
+        {
+            const_cast< ImplB3DPolygon* >(this)->maPlaneNormal = maPoints.getNormal();
+            const_cast< ImplB3DPolygon* >(this)->mbPlaneNormalValid = true;
+        }
+
+        return maPlaneNormal;
+    }
+
+    const ::basegfx::B3DVector& getNormal(sal_uInt32 nIndex) const
+    {
+        if(mpNormals)
+        {
+            return mpNormals->getNormal(nIndex);
+        }
+        else
+        {
+            return ::basegfx::B3DVector::getEmptyVector();
+        }
+    }
+
+    void setNormal(sal_uInt32 nIndex, const ::basegfx::B3DVector& rValue)
+    {
+        if(!mpNormals)
+        {
+            if(!rValue.equalZero())
+            {
+                mpNormals.reset( new NormalsArray3D(maPoints.count()) );
+                mpNormals->setNormal(nIndex, rValue);
+            }
+        }
+        else
+        {
+            mpNormals->setNormal(nIndex, rValue);
+
+            if(!mpNormals->isUsed())
+            {
+                mpNormals.reset();
+            }
+        }
+    }
+
+    void transformNormals(const ::basegfx::B3DHomMatrix& rMatrix)
+    {
+        if(mpNormals)
+        {
+            mpNormals->transform(rMatrix);
+        }
+    }
+
+    bool areNormalsUsed() const
+    {
+        return (mpNormals && mpNormals->isUsed());
+    }
+
+    void clearNormals()
+    {
+        mpNormals.reset();
+    }
+
+    const ::basegfx::B2DPoint& getTextureCoordinate(sal_uInt32 nIndex) const
+    {
+        if(mpTextureCoordinates)
+        {
+            return mpTextureCoordinates->getTextureCoordinate(nIndex);
+        }
+        else
+        {
+            return ::basegfx::B2DPoint::getEmptyPoint();
+        }
+    }
+
+    void setTextureCoordinate(sal_uInt32 nIndex, const ::basegfx::B2DPoint& rValue)
+    {
+        if(!mpTextureCoordinates)
+        {
+            if(!rValue.equalZero())
+            {
+                mpTextureCoordinates.reset( new TextureCoordinate2D(maPoints.count()) );
+                mpTextureCoordinates->setTextureCoordinate(nIndex, rValue);
+            }
+        }
+        else
+        {
+            mpTextureCoordinates->setTextureCoordinate(nIndex, rValue);
+
+            if(!mpTextureCoordinates->isUsed())
+            {
+                mpTextureCoordinates.reset();
+            }
+        }
+    }
+
+    bool areTextureCoordinatesUsed() const
+    {
+        return (mpTextureCoordinates && mpTextureCoordinates->isUsed());
+    }
+
+    void clearTextureCoordinates()
+    {
+        mpTextureCoordinates.reset();
+    }
+
+    void transformTextureCoordinates(const ::basegfx::B2DHomMatrix& rMatrix)
+    {
+        if(mpTextureCoordinates)
+        {
+            mpTextureCoordinates->transform(rMatrix);
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const ImplB3DPolygon& rSource)
+    {
+        const sal_uInt32 nCount(rSource.maPoints.count());
+
+        if(!nCount)
+            return;
+
+        maPoints.insert(nIndex, rSource.maPoints);
+        invalidatePlaneNormal();
+
+        if(rSource.mpBColors && rSource.mpBColors->isUsed())
+        {
+            if(!mpBColors)
+            {
+                mpBColors.reset( new BColorArray(maPoints.count()) );
+            }
+
+            mpBColors->insert(nIndex, *rSource.mpBColors);
+        }
+        else
+        {
+            if(mpBColors)
+            {
+                mpBColors->insert(nIndex, ::basegfx::BColor::getEmptyBColor(), nCount);
+            }
+        }
+
+        if(rSource.mpNormals && rSource.mpNormals->isUsed())
+        {
+            if(!mpNormals)
+            {
+                mpNormals.reset( new NormalsArray3D(maPoints.count()) );
+            }
+
+            mpNormals->insert(nIndex, *rSource.mpNormals);
+        }
+        else
+        {
+            if(mpNormals)
+            {
+                mpNormals->insert(nIndex, ::basegfx::B3DVector::getEmptyVector(), nCount);
+            }
+        }
+
+        if(rSource.mpTextureCoordinates && rSource.mpTextureCoordinates->isUsed())
+        {
+            if(!mpTextureCoordinates)
+            {
+                mpTextureCoordinates.reset( new TextureCoordinate2D(maPoints.count()) );
+            }
+
+            mpTextureCoordinates->insert(nIndex, *rSource.mpTextureCoordinates);
+        }
+        else
+        {
+            if(mpTextureCoordinates)
+            {
+                mpTextureCoordinates->insert(nIndex, ::basegfx::B2DPoint::getEmptyPoint(), nCount);
+            }
+        }
+    }
+
+    void remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(!nCount)
+            return;
+
+        maPoints.remove(nIndex, nCount);
+        invalidatePlaneNormal();
+
+        if(mpBColors)
+        {
+            mpBColors->remove(nIndex, nCount);
+
+            if(!mpBColors->isUsed())
+            {
+                mpBColors.reset();
+            }
+        }
+
+        if(mpNormals)
+        {
+            mpNormals->remove(nIndex, nCount);
+
+            if(!mpNormals->isUsed())
+            {
+                mpNormals.reset();
+            }
+        }
+
+        if(mpTextureCoordinates)
+        {
+            mpTextureCoordinates->remove(nIndex, nCount);
+
+            if(!mpTextureCoordinates->isUsed())
+            {
+                mpTextureCoordinates.reset();
+            }
+        }
+    }
+
+    void flip()
+    {
+        if(maPoints.count() <= 1)
+            return;
+
+        maPoints.flip();
+
+        if(mbPlaneNormalValid)
+        {
+            // mirror plane normal
+            maPlaneNormal = -maPlaneNormal;
+        }
+
+        if(mpBColors)
+        {
+            mpBColors->flip();
+        }
+
+        if(mpNormals)
+        {
+            mpNormals->flip();
+        }
+
+        if(mpTextureCoordinates)
+        {
+            mpTextureCoordinates->flip();
+        }
+    }
+
+    bool hasDoublePoints() const
+    {
+        if(mbIsClosed)
+        {
+            // check for same start and end point
+            const sal_uInt32 nIndex(maPoints.count() - 1);
+
+            if(maPoints.getCoordinate(0) == maPoints.getCoordinate(nIndex))
+            {
+                const bool bBColorEqual(!mpBColors || (mpBColors->getBColor(0) == mpBColors->getBColor(nIndex)));
+
+                if(bBColorEqual)
+                {
+                    const bool bNormalsEqual(!mpNormals || (mpNormals->getNormal(0) == mpNormals->getNormal(nIndex)));
+
+                    if(bNormalsEqual)
+                    {
+                        const bool bTextureCoordinatesEqual(!mpTextureCoordinates || (mpTextureCoordinates->getTextureCoordinate(0) == mpTextureCoordinates->getTextureCoordinate(nIndex)));
+
+                        if(bTextureCoordinatesEqual)
+                        {
+                            return true;
+                        }
+                    }
+                }
+            }
+        }
+
+        // test for range
+        for(sal_uInt32 a(0); a < maPoints.count() - 1; a++)
+        {
+            if(maPoints.getCoordinate(a) == maPoints.getCoordinate(a + 1))
+            {
+                const bool bBColorEqual(!mpBColors || (mpBColors->getBColor(a) == mpBColors->getBColor(a + 1)));
+
+                if(bBColorEqual)
+                {
+                    const bool bNormalsEqual(!mpNormals || (mpNormals->getNormal(a) == mpNormals->getNormal(a + 1)));
+
+                    if(bNormalsEqual)
+                    {
+                        const bool bTextureCoordinatesEqual(!mpTextureCoordinates || (mpTextureCoordinates->getTextureCoordinate(a) == mpTextureCoordinates->getTextureCoordinate(a + 1)));
+
+                        if(bTextureCoordinatesEqual)
+                        {
+                            return true;
+                        }
+                    }
+                }
+            }
+        }
+
+        return false;
+    }
+
+    void removeDoublePointsAtBeginEnd()
+    {
+        // Only remove DoublePoints at Begin and End when poly is closed
+        if(!mbIsClosed)
+            return;
+
+        bool bRemove;
+
+        do
+        {
+            bRemove = false;
+
+            if(maPoints.count() > 1)
+            {
+                const sal_uInt32 nIndex(maPoints.count() - 1);
+                bRemove = (maPoints.getCoordinate(0) == maPoints.getCoordinate(nIndex));
+
+                if(bRemove && mpBColors && mpBColors->getBColor(0) != mpBColors->getBColor(nIndex))
+                {
+                    bRemove = false;
+                }
+
+                if(bRemove && mpNormals && mpNormals->getNormal(0) != mpNormals->getNormal(nIndex))
+                {
+                    bRemove = false;
+                }
+
+                if(bRemove && mpTextureCoordinates && mpTextureCoordinates->getTextureCoordinate(0) != mpTextureCoordinates->getTextureCoordinate(nIndex))
+                {
+                    bRemove = false;
+                }
+            }
+
+            if(bRemove)
+            {
+                const sal_uInt32 nIndex(maPoints.count() - 1);
+                remove(nIndex, 1);
+            }
+        } while(bRemove);
+    }
+
+    void removeDoublePointsWholeTrack()
+    {
+        sal_uInt32 nIndex(0);
+
+        // test as long as there are at least two points and as long as the index
+        // is smaller or equal second last point
+        while((maPoints.count() > 1) && (nIndex <= maPoints.count() - 2))
+        {
+            const sal_uInt32 nNextIndex(nIndex + 1);
+            bool bRemove(maPoints.getCoordinate(nIndex) == maPoints.getCoordinate(nNextIndex));
+
+            if(bRemove && mpBColors && mpBColors->getBColor(nIndex) != mpBColors->getBColor(nNextIndex))
+            {
+                bRemove = false;
+            }
+
+            if(bRemove && mpNormals && mpNormals->getNormal(nIndex) != mpNormals->getNormal(nNextIndex))
+            {
+                bRemove = false;
+            }
+
+            if(bRemove && mpTextureCoordinates && mpTextureCoordinates->getTextureCoordinate(nIndex) != mpTextureCoordinates->getTextureCoordinate(nNextIndex))
+            {
+                bRemove = false;
+            }
+
+            if(bRemove)
+            {
+                // if next is same as index and the control vectors are unused, delete index
+                remove(nIndex, 1);
+            }
+            else
+            {
+                // if different, step forward
+                nIndex++;
+            }
+        }
+    }
+
+    void transform(const ::basegfx::B3DHomMatrix& rMatrix)
+    {
+        maPoints.transform(rMatrix);
+
+        // Here, it seems to be possible to transform a valid plane normal and to avoid
+        // invalidation, but it's not true. If the transformation contains shears or e.g.
+        // perspective projection, the orthogonality to the transformed plane will not
+        // be preserved. It may be possible to test that at the matrix to not invalidate in
+        // all cases or to extract a matrix which does not 'shear' the vector which is
+        // a normal in this case. As long as this is not sure, i will just invalidate.
+        invalidatePlaneNormal();
+    }
+};
+
+namespace basegfx
+{
+    namespace {
+
+    B3DPolygon::ImplType const & getDefaultPolygon() {
+        static B3DPolygon::ImplType const singleton;
+        return singleton;
+    }
+
+    }
+
+    B3DPolygon::B3DPolygon() :
+        mpPolygon(getDefaultPolygon())
+    {
+    }
+
+    B3DPolygon::B3DPolygon(const B3DPolygon&) = default;
+
+    B3DPolygon::B3DPolygon(B3DPolygon&&) = default;
+
+    B3DPolygon::~B3DPolygon() = default;
+
+    B3DPolygon& B3DPolygon::operator=(const B3DPolygon&) = default;
+
+    B3DPolygon& B3DPolygon::operator=(B3DPolygon&&) = default;
+
+    bool B3DPolygon::operator==(const B3DPolygon& rPolygon) const
+    {
+        if(mpPolygon.same_object(rPolygon.mpPolygon))
+            return true;
+
+        return (*mpPolygon == *rPolygon.mpPolygon);
+    }
+
+    bool B3DPolygon::operator!=(const B3DPolygon& rPolygon) const
+    {
+        return !(*this == rPolygon);
+    }
+
+    sal_uInt32 B3DPolygon::count() const
+    {
+        return mpPolygon->count();
+    }
+
+    basegfx::B3DPoint const & B3DPolygon::getB3DPoint(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)");
+
+        return mpPolygon->getPoint(nIndex);
+    }
+
+    void B3DPolygon::setB3DPoint(sal_uInt32 nIndex, const basegfx::B3DPoint& rValue)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolygon)->count(), "B3DPolygon access outside range (!)");
+
+        if(getB3DPoint(nIndex) != rValue)
+            mpPolygon->setPoint(nIndex, rValue);
+    }
+
+    BColor const & B3DPolygon::getBColor(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)");
+
+        return mpPolygon->getBColor(nIndex);
+    }
+
+    void B3DPolygon::setBColor(sal_uInt32 nIndex, const BColor& rValue)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolygon)->count(), "B3DPolygon access outside range (!)");
+
+        if(std::as_const(mpPolygon)->getBColor(nIndex) != rValue)
+            mpPolygon->setBColor(nIndex, rValue);
+    }
+
+    bool B3DPolygon::areBColorsUsed() const
+    {
+        return mpPolygon->areBColorsUsed();
+    }
+
+    void B3DPolygon::clearBColors()
+    {
+        if(std::as_const(mpPolygon)->areBColorsUsed())
+            mpPolygon->clearBColors();
+    }
+
+    B3DVector const & B3DPolygon::getNormal() const
+    {
+        return mpPolygon->getNormal();
+    }
+
+    B3DVector const & B3DPolygon::getNormal(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)");
+
+        return mpPolygon->getNormal(nIndex);
+    }
+
+    void B3DPolygon::setNormal(sal_uInt32 nIndex, const B3DVector& rValue)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolygon)->count(), "B3DPolygon access outside range (!)");
+
+        if(std::as_const(mpPolygon)->getNormal(nIndex) != rValue)
+            mpPolygon->setNormal(nIndex, rValue);
+    }
+
+    void B3DPolygon::transformNormals(const B3DHomMatrix& rMatrix)
+    {
+        if(std::as_const(mpPolygon)->areNormalsUsed() && !rMatrix.isIdentity())
+            mpPolygon->transformNormals(rMatrix);
+    }
+
+    bool B3DPolygon::areNormalsUsed() const
+    {
+        return mpPolygon->areNormalsUsed();
+    }
+
+    void B3DPolygon::clearNormals()
+    {
+        if(std::as_const(mpPolygon)->areNormalsUsed())
+            mpPolygon->clearNormals();
+    }
+
+    B2DPoint const & B3DPolygon::getTextureCoordinate(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)");
+
+        return mpPolygon->getTextureCoordinate(nIndex);
+    }
+
+    void B3DPolygon::setTextureCoordinate(sal_uInt32 nIndex, const B2DPoint& rValue)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolygon)->count(), "B3DPolygon access outside range (!)");
+
+        if(std::as_const(mpPolygon)->getTextureCoordinate(nIndex) != rValue)
+            mpPolygon->setTextureCoordinate(nIndex, rValue);
+    }
+
+    void B3DPolygon::transformTextureCoordinates(const B2DHomMatrix& rMatrix)
+    {
+        if(std::as_const(mpPolygon)->areTextureCoordinatesUsed() && !rMatrix.isIdentity())
+            mpPolygon->transformTextureCoordinates(rMatrix);
+    }
+
+    bool B3DPolygon::areTextureCoordinatesUsed() const
+    {
+        return mpPolygon->areTextureCoordinatesUsed();
+    }
+
+    void B3DPolygon::clearTextureCoordinates()
+    {
+        if(std::as_const(mpPolygon)->areTextureCoordinatesUsed())
+            mpPolygon->clearTextureCoordinates();
+    }
+
+    void B3DPolygon::append(const basegfx::B3DPoint& rPoint, sal_uInt32 nCount)
+    {
+        if(nCount)
+            mpPolygon->insert(std::as_const(mpPolygon)->count(), rPoint, nCount);
+    }
+
+    void B3DPolygon::append(const B3DPolygon& rPoly, sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(!rPoly.count())
+            return;
+
+        if(!nCount)
+        {
+            nCount = rPoly.count();
+        }
+
+        if(nIndex == 0 && nCount == rPoly.count())
+        {
+            mpPolygon->insert(std::as_const(mpPolygon)->count(), *rPoly.mpPolygon);
+        }
+        else
+        {
+            OSL_ENSURE(nIndex + nCount <= rPoly.mpPolygon->count(), "B3DPolygon Append outside range (!)");
+            ImplB3DPolygon aTempPoly(*rPoly.mpPolygon, nIndex, nCount);
+            mpPolygon->insert(std::as_const(mpPolygon)->count(), aTempPoly);
+        }
+    }
+
+    void B3DPolygon::remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        OSL_ENSURE(nIndex + nCount <= std::as_const(mpPolygon)->count(), "B3DPolygon Remove outside range (!)");
+
+        if(nCount)
+            mpPolygon->remove(nIndex, nCount);
+    }
+
+    void B3DPolygon::clear()
+    {
+        mpPolygon = getDefaultPolygon();
+    }
+
+    bool B3DPolygon::isClosed() const
+    {
+        return mpPolygon->isClosed();
+    }
+
+    void B3DPolygon::setClosed(bool bNew)
+    {
+        if(isClosed() != bNew)
+            mpPolygon->setClosed(bNew);
+    }
+
+    void B3DPolygon::flip()
+    {
+        if(count() > 1)
+            mpPolygon->flip();
+    }
+
+    bool B3DPolygon::hasDoublePoints() const
+    {
+        return (mpPolygon->count() > 1 && mpPolygon->hasDoublePoints());
+    }
+
+    void B3DPolygon::removeDoublePoints()
+    {
+        if(hasDoublePoints())
+        {
+            mpPolygon->removeDoublePointsAtBeginEnd();
+            mpPolygon->removeDoublePointsWholeTrack();
+        }
+    }
+
+    void B3DPolygon::transform(const basegfx::B3DHomMatrix& rMatrix)
+    {
+        if(std::as_const(mpPolygon)->count() && !rMatrix.isIdentity())
+        {
+            mpPolygon->transform(rMatrix);
+        }
+    }
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b3dpolygontools.cxx b/basegfx/source/polygon/b3dpolygontools.cxx
new file mode 100644
index 000000000..a1f65bef2
--- /dev/null
+++ b/basegfx/source/polygon/b3dpolygontools.cxx
@@ -0,0 +1,830 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <osl/diagnose.h>
+#include <basegfx/polygon/b3dpolygontools.hxx>
+#include <basegfx/polygon/b3dpolygon.hxx>
+#include <basegfx/polygon/b3dpolypolygon.hxx>
+#include <basegfx/numeric/ftools.hxx>
+#include <basegfx/range/b3drange.hxx>
+#include <basegfx/point/b2dpoint.hxx>
+#include <basegfx/tuple/b3ituple.hxx>
+#include <cassert>
+#include <numeric>
+
+namespace basegfx::utils
+{
+        // B3DPolygon tools
+        void checkClosed(B3DPolygon& rCandidate)
+        {
+            while(rCandidate.count() > 1
+                && rCandidate.getB3DPoint(0).equal(rCandidate.getB3DPoint(rCandidate.count() - 1)))
+            {
+                rCandidate.setClosed(true);
+                rCandidate.remove(rCandidate.count() - 1);
+            }
+        }
+
+        sal_uInt32 getIndexOfSuccessor(sal_uInt32 nIndex, const B3DPolygon& rCandidate)
+        {
+            OSL_ENSURE(nIndex < rCandidate.count(), "getIndexOfPredecessor: Access to polygon out of range (!)");
+
+            if(nIndex + 1 < rCandidate.count())
+            {
+                return nIndex + 1;
+            }
+            else
+            {
+                return 0;
+            }
+        }
+
+        B3DRange getRange(const B3DPolygon& rCandidate)
+        {
+            B3DRange aRetval;
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            for(sal_uInt32 a(0); a < nPointCount; a++)
+            {
+                const B3DPoint aTestPoint(rCandidate.getB3DPoint(a));
+                aRetval.expand(aTestPoint);
+            }
+
+            return aRetval;
+        }
+
+        double getLength(const B3DPolygon& rCandidate)
+        {
+            double fRetval(0.0);
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount > 1)
+            {
+                const sal_uInt32 nLoopCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+
+                for(sal_uInt32 a(0); a < nLoopCount; a++)
+                {
+                    const sal_uInt32 nNextIndex(getIndexOfSuccessor(a, rCandidate));
+                    const B3DPoint aCurrentPoint(rCandidate.getB3DPoint(a));
+                    const B3DPoint aNextPoint(rCandidate.getB3DPoint(nNextIndex));
+                    const B3DVector aVector(aNextPoint - aCurrentPoint);
+                    fRetval += aVector.getLength();
+                }
+            }
+
+            return fRetval;
+        }
+
+        void applyLineDashing(
+            const B3DPolygon& rCandidate,
+            const std::vector<double>& rDotDashArray,
+            B3DPolyPolygon* pLineTarget,
+            double fDotDashLength)
+        {
+            // clear targets in any case
+            if(pLineTarget)
+            {
+                pLineTarget->clear();
+            }
+
+            // provide callback as lambda
+            auto aLineCallback(
+                nullptr == pLineTarget
+                ? std::function<void(const basegfx::B3DPolygon&)>()
+                : [&pLineTarget](const basegfx::B3DPolygon& rSnippet){ pLineTarget->append(rSnippet); });
+
+            // call version that uses callbacks
+            applyLineDashing(
+                rCandidate,
+                rDotDashArray,
+                aLineCallback,
+                fDotDashLength);
+        }
+
+        static void implHandleSnippet(
+            const B3DPolygon& rSnippet,
+            const std::function<void(const basegfx::B3DPolygon& rSnippet)>& rTargetCallback,
+            B3DPolygon& rFirst,
+            B3DPolygon& rLast)
+        {
+            if(rSnippet.isClosed())
+            {
+                if(!rFirst.count())
+                {
+                    rFirst = rSnippet;
+                }
+                else
+                {
+                    if(rLast.count())
+                    {
+                        rTargetCallback(rLast);
+                    }
+
+                    rLast = rSnippet;
+                }
+            }
+            else
+            {
+                rTargetCallback(rSnippet);
+            }
+        }
+
+        static void implHandleFirstLast(
+            const std::function<void(const basegfx::B3DPolygon& rSnippet)>& rTargetCallback,
+            B3DPolygon& rFirst,
+            B3DPolygon& rLast)
+        {
+            if(rFirst.count() && rLast.count()
+                && rFirst.getB3DPoint(0).equal(rLast.getB3DPoint(rLast.count() - 1)))
+            {
+                // start of first and end of last are the same -> merge them
+                rLast.append(rFirst);
+                rLast.removeDoublePoints();
+                rFirst.clear();
+            }
+
+            if(rLast.count())
+            {
+                rTargetCallback(rLast);
+            }
+
+            if(rFirst.count())
+            {
+                rTargetCallback(rFirst);
+            }
+        }
+
+        void applyLineDashing(
+            const B3DPolygon& rCandidate,
+            const std::vector<double>& rDotDashArray,
+            std::function<void(const basegfx::B3DPolygon& rSnippet)> aLineTargetCallback,
+            double fDotDashLength)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+            const sal_uInt32 nDotDashCount(rDotDashArray.size());
+
+            if(fTools::lessOrEqual(fDotDashLength, 0.0))
+            {
+                fDotDashLength = std::accumulate(rDotDashArray.begin(), rDotDashArray.end(), 0.0);
+            }
+
+            if(fTools::lessOrEqual(fDotDashLength, 0.0) || !aLineTargetCallback || !nPointCount)
+            {
+                // parameters make no sense, just add source to targets
+                if(aLineTargetCallback)
+                {
+                    aLineTargetCallback(rCandidate);
+                }
+
+                return;
+            }
+
+            // precalculate maximal acceptable length of candidate polygon assuming
+            // we want to create a maximum of fNumberOfAllowedSnippets. In 3D
+            // use less for fNumberOfAllowedSnippets, ca. 6553.6, double due to line & gap.
+            // Less in 3D due to potentially blowing up to rounded line segments.
+            static const double fNumberOfAllowedSnippets(6553.5 * 2.0);
+            const double fAllowedLength((fNumberOfAllowedSnippets * fDotDashLength) / double(rDotDashArray.size()));
+            const double fCandidateLength(basegfx::utils::getLength(rCandidate));
+            std::vector<double> aDotDashArray(rDotDashArray);
+
+            if(fCandidateLength > fAllowedLength)
+            {
+                // we would produce more than fNumberOfAllowedSnippets, so
+                // adapt aDotDashArray to exactly produce assumed number. Also
+                // assert this to let the caller know about it.
+                // If this asserts: Please think about checking your DotDashArray
+                // before calling this function or evtl. use the callback version
+                // to *not* produce that much of data. Even then, you may still
+                // think about producing too much runtime (!)
+                assert(true && "applyLineDashing: potentially too expensive to do the requested dismantle - please consider stretched LineDash pattern (!)");
+
+                // calculate correcting factor, apply to aDotDashArray and fDotDashLength
+                // to enlarge these as needed
+                const double fFactor(fCandidateLength / fAllowedLength);
+                std::for_each(aDotDashArray.begin(), aDotDashArray.end(), [&fFactor](double &f){ f *= fFactor; });
+                fDotDashLength *= fFactor;
+            }
+
+            // prepare current edge's start
+            B3DPoint aCurrentPoint(rCandidate.getB3DPoint(0));
+            const bool bIsClosed(rCandidate.isClosed());
+            const sal_uInt32 nEdgeCount(bIsClosed ? nPointCount : nPointCount - 1);
+
+            // prepare DotDashArray iteration and the line/gap switching bool
+            sal_uInt32 nDotDashIndex(0);
+            bool bIsLine(true);
+            double fDotDashMovingLength(aDotDashArray[0]);
+            B3DPolygon aSnippet;
+
+            // remember 1st and last snippets to try to merge after execution
+            // is complete and hand to callback
+            B3DPolygon aFirstLine, aLastLine;
+
+            // iterate over all edges
+            for(sal_uInt32 a(0); a < nEdgeCount; a++)
+            {
+                // update current edge
+                const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+                const B3DPoint aNextPoint(rCandidate.getB3DPoint(nNextIndex));
+                const double fEdgeLength(B3DVector(aNextPoint - aCurrentPoint).getLength());
+
+                if(!fTools::equalZero(fEdgeLength))
+                {
+                    double fLastDotDashMovingLength(0.0);
+                    while(fTools::less(fDotDashMovingLength, fEdgeLength))
+                    {
+                        // new split is inside edge, create and append snippet [fLastDotDashMovingLength, fDotDashMovingLength]
+                        if(bIsLine)
+                        {
+                            if(!aSnippet.count())
+                            {
+                                aSnippet.append(interpolate(aCurrentPoint, aNextPoint, fLastDotDashMovingLength / fEdgeLength));
+                            }
+
+                            aSnippet.append(interpolate(aCurrentPoint, aNextPoint, fDotDashMovingLength / fEdgeLength));
+
+                            implHandleSnippet(aSnippet, aLineTargetCallback, aFirstLine, aLastLine);
+
+                            aSnippet.clear();
+                        }
+
+                        // prepare next DotDashArray step and flip line/gap flag
+                        fLastDotDashMovingLength = fDotDashMovingLength;
+                        fDotDashMovingLength += aDotDashArray[(++nDotDashIndex) % nDotDashCount];
+                        bIsLine = !bIsLine;
+                    }
+
+                    // append snippet [fLastDotDashMovingLength, fEdgeLength]
+                    if(bIsLine)
+                    {
+                        if(!aSnippet.count())
+                        {
+                            aSnippet.append(interpolate(aCurrentPoint, aNextPoint, fLastDotDashMovingLength / fEdgeLength));
+                        }
+
+                        aSnippet.append(aNextPoint);
+                    }
+
+                    // prepare move to next edge
+                    fDotDashMovingLength -= fEdgeLength;
+                }
+
+                // prepare next edge step (end point gets new start point)
+                aCurrentPoint = aNextPoint;
+            }
+
+            // append last intermediate results (if exists)
+            if(aSnippet.count())
+            {
+                if(bIsLine)
+                {
+                    implHandleSnippet(aSnippet, aLineTargetCallback, aFirstLine, aLastLine);
+                }
+            }
+
+            if(bIsClosed)
+            {
+                implHandleFirstLast(aLineTargetCallback, aFirstLine, aLastLine);
+            }
+        }
+
+        B3DPolygon applyDefaultNormalsSphere( const B3DPolygon& rCandidate, const B3DPoint& rCenter)
+        {
+            B3DPolygon aRetval(rCandidate);
+
+            for(sal_uInt32 a(0); a < aRetval.count(); a++)
+            {
+                B3DVector aVector(aRetval.getB3DPoint(a) - rCenter);
+                aVector.normalize();
+                aRetval.setNormal(a, aVector);
+            }
+
+            return aRetval;
+        }
+
+        B3DPolygon invertNormals( const B3DPolygon& rCandidate)
+        {
+            B3DPolygon aRetval(rCandidate);
+
+            if(aRetval.areNormalsUsed())
+            {
+                for(sal_uInt32 a(0); a < aRetval.count(); a++)
+                {
+                    aRetval.setNormal(a, -aRetval.getNormal(a));
+                }
+            }
+
+            return aRetval;
+        }
+
+        B3DPolygon applyDefaultTextureCoordinatesParallel( const B3DPolygon& rCandidate, const B3DRange& rRange, bool bChangeX, bool bChangeY)
+        {
+            B3DPolygon aRetval(rCandidate);
+
+            if(bChangeX || bChangeY)
+            {
+                // create projection of standard texture coordinates in (X, Y) onto
+                // the 3d coordinates straight
+                const double fWidth(rRange.getWidth());
+                const double fHeight(rRange.getHeight());
+                const bool bWidthSet(!fTools::equalZero(fWidth));
+                const bool bHeightSet(!fTools::equalZero(fHeight));
+                const double fOne(1.0);
+
+                for(sal_uInt32 a(0); a < aRetval.count(); a++)
+                {
+                    const B3DPoint aPoint(aRetval.getB3DPoint(a));
+                    B2DPoint aTextureCoordinate(aRetval.getTextureCoordinate(a));
+
+                    if(bChangeX)
+                    {
+                        if(bWidthSet)
+                        {
+                            aTextureCoordinate.setX((aPoint.getX() - rRange.getMinX()) / fWidth);
+                        }
+                        else
+                        {
+                            aTextureCoordinate.setX(0.0);
+                        }
+                    }
+
+                    if(bChangeY)
+                    {
+                        if(bHeightSet)
+                        {
+                            aTextureCoordinate.setY(fOne - ((aPoint.getY() - rRange.getMinY()) / fHeight));
+                        }
+                        else
+                        {
+                            aTextureCoordinate.setY(fOne);
+                        }
+                    }
+
+                    aRetval.setTextureCoordinate(a, aTextureCoordinate);
+                }
+            }
+
+            return aRetval;
+        }
+
+        B3DPolygon applyDefaultTextureCoordinatesSphere( const B3DPolygon& rCandidate, const B3DPoint& rCenter, bool bChangeX, bool bChangeY)
+        {
+            B3DPolygon aRetval(rCandidate);
+
+            if(bChangeX || bChangeY)
+            {
+                // create texture coordinates using sphere projection to cartesian coordinates,
+                // use object's center as base
+                const double fOne(1.0);
+                const sal_uInt32 nPointCount(aRetval.count());
+                bool bPolarPoints(false);
+                sal_uInt32 a;
+
+                // create center cartesian coordinates to have a possibility to decide if on boundary
+                // transitions which value to choose
+                const B3DRange aPlaneRange(getRange(rCandidate));
+                const B3DPoint aPlaneCenter(aPlaneRange.getCenter() - rCenter);
+                const double fXCenter(fOne - ((atan2(aPlaneCenter.getZ(), aPlaneCenter.getX()) + M_PI) / (2 * M_PI)));
+
+                for(a = 0; a < nPointCount; a++)
+                {
+                    const B3DVector aVector(aRetval.getB3DPoint(a) - rCenter);
+                    const double fY(fOne - ((atan2(aVector.getY(), aVector.getXZLength()) + M_PI_2) / M_PI));
+                    B2DPoint aTexCoor(aRetval.getTextureCoordinate(a));
+
+                    if(fTools::equalZero(fY))
+                    {
+                        // point is a north polar point, no useful X-coordinate can be created.
+                        if(bChangeY)
+                        {
+                            aTexCoor.setY(0.0);
+
+                            if(bChangeX)
+                            {
+                                bPolarPoints = true;
+                            }
+                        }
+                    }
+                    else if(fTools::equal(fY, fOne))
+                    {
+                        // point is a south polar point, no useful X-coordinate can be created. Set
+                        // Y-coordinate, though
+                        if(bChangeY)
+                        {
+                            aTexCoor.setY(fOne);
+
+                            if(bChangeX)
+                            {
+                                bPolarPoints = true;
+                            }
+                        }
+                    }
+                    else
+                    {
+                        double fX(fOne - ((atan2(aVector.getZ(), aVector.getX()) + M_PI) / (2 * M_PI)));
+
+                        // correct cartesian point coordinate dependent from center value
+                        if(fX > fXCenter + 0.5)
+                        {
+                            fX -= fOne;
+                        }
+                        else if(fX < fXCenter - 0.5)
+                        {
+                            fX += fOne;
+                        }
+
+                        if(bChangeX)
+                        {
+                            aTexCoor.setX(fX);
+                        }
+
+                        if(bChangeY)
+                        {
+                            aTexCoor.setY(fY);
+                        }
+                    }
+
+                    aRetval.setTextureCoordinate(a, aTexCoor);
+                }
+
+                if(bPolarPoints)
+                {
+                    // correct X-texture coordinates if polar points are contained. Those
+                    // coordinates cannot be correct, so use prev or next X-coordinate
+                    for(a = 0; a < nPointCount; a++)
+                    {
+                        B2DPoint aTexCoor(aRetval.getTextureCoordinate(a));
+
+                        if(fTools::equalZero(aTexCoor.getY()) || fTools::equal(aTexCoor.getY(), fOne))
+                        {
+                            // get prev, next TexCoor and test for pole
+                            const B2DPoint aPrevTexCoor(aRetval.getTextureCoordinate(a ? a - 1 : nPointCount - 1));
+                            const B2DPoint aNextTexCoor(aRetval.getTextureCoordinate((a + 1) % nPointCount));
+                            const bool bPrevPole(fTools::equalZero(aPrevTexCoor.getY()) || fTools::equal(aPrevTexCoor.getY(), fOne));
+                            const bool bNextPole(fTools::equalZero(aNextTexCoor.getY()) || fTools::equal(aNextTexCoor.getY(), fOne));
+
+                            if(!bPrevPole && !bNextPole)
+                            {
+                                // both no poles, mix them
+                                aTexCoor.setX((aPrevTexCoor.getX() + aNextTexCoor.getX()) / 2.0);
+                            }
+                            else if(!bNextPole)
+                            {
+                                // copy next
+                                aTexCoor.setX(aNextTexCoor.getX());
+                            }
+                            else
+                            {
+                                // copy prev, even if it's a pole, hopefully it is already corrected
+                                aTexCoor.setX(aPrevTexCoor.getX());
+                            }
+
+                            aRetval.setTextureCoordinate(a, aTexCoor);
+                        }
+                    }
+                }
+            }
+
+            return aRetval;
+        }
+
+        bool isInside(const B3DPolygon& rCandidate, const B3DPoint& rPoint, bool bWithBorder)
+        {
+            if(bWithBorder && isPointOnPolygon(rCandidate, rPoint))
+            {
+                return true;
+            }
+            else
+            {
+                bool bRetval(false);
+                const B3DVector aPlaneNormal(rCandidate.getNormal());
+
+                if(!aPlaneNormal.equalZero())
+                {
+                    const sal_uInt32 nPointCount(rCandidate.count());
+
+                    if(nPointCount)
+                    {
+                        B3DPoint aCurrentPoint(rCandidate.getB3DPoint(nPointCount - 1));
+                        const double fAbsX(fabs(aPlaneNormal.getX()));
+                        const double fAbsY(fabs(aPlaneNormal.getY()));
+                        const double fAbsZ(fabs(aPlaneNormal.getZ()));
+
+                        if(fAbsX > fAbsY && fAbsX > fAbsZ)
+                        {
+                            // normal points mostly in X-Direction, use YZ-Polygon projection for check
+                            // x -> y, y -> z
+                            for(sal_uInt32 a(0); a < nPointCount; a++)
+                            {
+                                const B3DPoint aPreviousPoint(aCurrentPoint);
+                                aCurrentPoint = rCandidate.getB3DPoint(a);
+
+                                // cross-over in Z?
+                                const bool bCompZA(fTools::more(aPreviousPoint.getZ(), rPoint.getZ()));
+                                const bool bCompZB(fTools::more(aCurrentPoint.getZ(), rPoint.getZ()));
+
+                                if(bCompZA != bCompZB)
+                                {
+                                    // cross-over in Y?
+                                    const bool bCompYA(fTools::more(aPreviousPoint.getY(), rPoint.getY()));
+                                    const bool bCompYB(fTools::more(aCurrentPoint.getY(), rPoint.getY()));
+
+                                    if(bCompYA == bCompYB)
+                                    {
+                                        if(bCompYA)
+                                        {
+                                            bRetval = !bRetval;
+                                        }
+                                    }
+                                    else
+                                    {
+                                        const double fCompare(
+                                            aCurrentPoint.getY() - (aCurrentPoint.getZ() - rPoint.getZ()) *
+                                            (aPreviousPoint.getY() - aCurrentPoint.getY()) /
+                                            (aPreviousPoint.getZ() - aCurrentPoint.getZ()));
+
+                                        if(fTools::more(fCompare, rPoint.getY()))
+                                        {
+                                            bRetval = !bRetval;
+                                        }
+                                    }
+                                }
+                            }
+                        }
+                        else if(fAbsY > fAbsX && fAbsY > fAbsZ)
+                        {
+                            // normal points mostly in Y-Direction, use XZ-Polygon projection for check
+                            // x -> x, y -> z
+                            for(sal_uInt32 a(0); a < nPointCount; a++)
+                            {
+                                const B3DPoint aPreviousPoint(aCurrentPoint);
+                                aCurrentPoint = rCandidate.getB3DPoint(a);
+
+                                // cross-over in Z?
+                                const bool bCompZA(fTools::more(aPreviousPoint.getZ(), rPoint.getZ()));
+                                const bool bCompZB(fTools::more(aCurrentPoint.getZ(), rPoint.getZ()));
+
+                                if(bCompZA != bCompZB)
+                                {
+                                    // cross-over in X?
+                                    const bool bCompXA(fTools::more(aPreviousPoint.getX(), rPoint.getX()));
+                                    const bool bCompXB(fTools::more(aCurrentPoint.getX(), rPoint.getX()));
+
+                                    if(bCompXA == bCompXB)
+                                    {
+                                        if(bCompXA)
+                                        {
+                                            bRetval = !bRetval;
+                                        }
+                                    }
+                                    else
+                                    {
+                                        const double fCompare(
+                                            aCurrentPoint.getX() - (aCurrentPoint.getZ() - rPoint.getZ()) *
+                                            (aPreviousPoint.getX() - aCurrentPoint.getX()) /
+                                            (aPreviousPoint.getZ() - aCurrentPoint.getZ()));
+
+                                        if(fTools::more(fCompare, rPoint.getX()))
+                                        {
+                                            bRetval = !bRetval;
+                                        }
+                                    }
+                                }
+                            }
+                        }
+                        else
+                        {
+                            // normal points mostly in Z-Direction, use XY-Polygon projection for check
+                            // x -> x, y -> y
+                            for(sal_uInt32 a(0); a < nPointCount; a++)
+                            {
+                                const B3DPoint aPreviousPoint(aCurrentPoint);
+                                aCurrentPoint = rCandidate.getB3DPoint(a);
+
+                                // cross-over in Y?
+                                const bool bCompYA(fTools::more(aPreviousPoint.getY(), rPoint.getY()));
+                                const bool bCompYB(fTools::more(aCurrentPoint.getY(), rPoint.getY()));
+
+                                if(bCompYA != bCompYB)
+                                {
+                                    // cross-over in X?
+                                    const bool bCompXA(fTools::more(aPreviousPoint.getX(), rPoint.getX()));
+                                    const bool bCompXB(fTools::more(aCurrentPoint.getX(), rPoint.getX()));
+
+                                    if(bCompXA == bCompXB)
+                                    {
+                                        if(bCompXA)
+                                        {
+                                            bRetval = !bRetval;
+                                        }
+                                    }
+                                    else
+                                    {
+                                        const double fCompare(
+                                            aCurrentPoint.getX() - (aCurrentPoint.getY() - rPoint.getY()) *
+                                            (aPreviousPoint.getX() - aCurrentPoint.getX()) /
+                                            (aPreviousPoint.getY() - aCurrentPoint.getY()));
+
+                                        if(fTools::more(fCompare, rPoint.getX()))
+                                        {
+                                            bRetval = !bRetval;
+                                        }
+                                    }
+                                }
+                            }
+                        }
+                    }
+                }
+
+                return bRetval;
+            }
+        }
+
+        bool isPointOnLine(const B3DPoint& rStart, const B3DPoint& rEnd, const B3DPoint& rCandidate, bool bWithPoints)
+        {
+            if(rCandidate.equal(rStart) || rCandidate.equal(rEnd))
+            {
+                // candidate is in epsilon around start or end -> inside
+                return bWithPoints;
+            }
+            else if(rStart.equal(rEnd))
+            {
+                // start and end are equal, but candidate is outside their epsilon -> outside
+                return false;
+            }
+            else
+            {
+                const B3DVector aEdgeVector(rEnd - rStart);
+                const B3DVector aTestVector(rCandidate - rStart);
+
+                if(areParallel(aEdgeVector, aTestVector))
+                {
+                    double fParamTestOnCurr(0.0);
+
+                    if(aEdgeVector.getX() > aEdgeVector.getY())
+                    {
+                        if(aEdgeVector.getX() > aEdgeVector.getZ())
+                        {
+                            // X is biggest
+                            fParamTestOnCurr = aTestVector.getX() / aEdgeVector.getX();
+                        }
+                        else
+                        {
+                            // Z is biggest
+                            fParamTestOnCurr = aTestVector.getZ() / aEdgeVector.getZ();
+                        }
+                    }
+                    else
+                    {
+                        if(aEdgeVector.getY() > aEdgeVector.getZ())
+                        {
+                            // Y is biggest
+                            fParamTestOnCurr = aTestVector.getY() / aEdgeVector.getY();
+                        }
+                        else
+                        {
+                            // Z is biggest
+                            fParamTestOnCurr = aTestVector.getZ() / aEdgeVector.getZ();
+                        }
+                    }
+
+                    if(fTools::more(fParamTestOnCurr, 0.0) && fTools::less(fParamTestOnCurr, 1.0))
+                    {
+                        return true;
+                    }
+                }
+
+                return false;
+            }
+        }
+
+        bool isPointOnPolygon(const B3DPolygon& rCandidate, const B3DPoint& rPoint)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount > 1)
+            {
+                const sal_uInt32 nLoopCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+                B3DPoint aCurrentPoint(rCandidate.getB3DPoint(0));
+
+                for(sal_uInt32 a(0); a < nLoopCount; a++)
+                {
+                    const B3DPoint aNextPoint(rCandidate.getB3DPoint((a + 1) % nPointCount));
+
+                    if(isPointOnLine(aCurrentPoint, aNextPoint, rPoint, true/*bWithPoints*/))
+                    {
+                        return true;
+                    }
+
+                    aCurrentPoint = aNextPoint;
+                }
+            }
+            else if(nPointCount)
+            {
+                return rPoint.equal(rCandidate.getB3DPoint(0));
+            }
+
+            return false;
+        }
+
+        bool getCutBetweenLineAndPlane(const B3DVector& rPlaneNormal, const B3DPoint& rPlanePoint, const B3DPoint& rEdgeStart, const B3DPoint& rEdgeEnd, double& fCut)
+        {
+            if(!rPlaneNormal.equalZero() && !rEdgeStart.equal(rEdgeEnd))
+            {
+                const B3DVector aTestEdge(rEdgeEnd - rEdgeStart);
+                const double fScalarEdge(rPlaneNormal.scalar(aTestEdge));
+
+                if(!fTools::equalZero(fScalarEdge))
+                {
+                    const B3DVector aCompareEdge(rPlanePoint - rEdgeStart);
+                    const double fScalarCompare(rPlaneNormal.scalar(aCompareEdge));
+
+                    fCut = fScalarCompare / fScalarEdge;
+                    return true;
+                }
+            }
+
+            return false;
+        }
+
+        // snap points of horizontal or vertical edges to discrete values
+        B3DPolygon snapPointsOfHorizontalOrVerticalEdges(const B3DPolygon& rCandidate)
+        {
+            const sal_uInt32 nPointCount(rCandidate.count());
+
+            if(nPointCount > 1)
+            {
+                // Start by copying the source polygon to get a writeable copy. The closed state is
+                // copied by aRetval's initialisation, too, so no need to copy it in this method
+                B3DPolygon aRetval(rCandidate);
+
+                // prepare geometry data. Get rounded from original
+                B3ITuple aPrevTuple(basegfx::fround(rCandidate.getB3DPoint(nPointCount - 1)));
+                B3DPoint aCurrPoint(rCandidate.getB3DPoint(0));
+                B3ITuple aCurrTuple(basegfx::fround(aCurrPoint));
+
+                // loop over all points. This will also snap the implicit closing edge
+                // even when not closed, but that's no problem here
+                for(sal_uInt32 a(0); a < nPointCount; a++)
+                {
+                    // get next point. Get rounded from original
+                    const bool bLastRun(a + 1 == nPointCount);
+                    const sal_uInt32 nNextIndex(bLastRun ? 0 : a + 1);
+                    const B3DPoint aNextPoint(rCandidate.getB3DPoint(nNextIndex));
+                    const B3ITuple aNextTuple(basegfx::fround(aNextPoint));
+
+                    // get the states
+                    const bool bPrevVertical(aPrevTuple.getX() == aCurrTuple.getX());
+                    const bool bNextVertical(aNextTuple.getX() == aCurrTuple.getX());
+                    const bool bPrevHorizontal(aPrevTuple.getY() == aCurrTuple.getY());
+                    const bool bNextHorizontal(aNextTuple.getY() == aCurrTuple.getY());
+                    const bool bSnapX(bPrevVertical || bNextVertical);
+                    const bool bSnapY(bPrevHorizontal || bNextHorizontal);
+
+                    if(bSnapX || bSnapY)
+                    {
+                        const B3DPoint aSnappedPoint(
+                            bSnapX ? aCurrTuple.getX() : aCurrPoint.getX(),
+                            bSnapY ? aCurrTuple.getY() : aCurrPoint.getY(),
+                            aCurrPoint.getZ());
+
+                        aRetval.setB3DPoint(a, aSnappedPoint);
+                    }
+
+                    // prepare next point
+                    if(!bLastRun)
+                    {
+                        aPrevTuple = aCurrTuple;
+                        aCurrPoint = aNextPoint;
+                        aCurrTuple = aNextTuple;
+                    }
+                }
+
+                return aRetval;
+            }
+            else
+            {
+                return rCandidate;
+            }
+        }
+
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b3dpolypolygon.cxx b/basegfx/source/polygon/b3dpolypolygon.cxx
new file mode 100644
index 000000000..017906eef
--- /dev/null
+++ b/basegfx/source/polygon/b3dpolypolygon.cxx
@@ -0,0 +1,400 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <osl/diagnose.h>
+#include <basegfx/polygon/b3dpolypolygon.hxx>
+#include <basegfx/polygon/b3dpolygon.hxx>
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <basegfx/matrix/b3dhommatrix.hxx>
+#include <utility>
+#include <vector>
+
+class ImplB3DPolyPolygon
+{
+    typedef std::vector< ::basegfx::B3DPolygon >  PolygonVector;
+
+    PolygonVector                                   maPolygons;
+
+public:
+    ImplB3DPolyPolygon()
+    {
+    }
+
+    explicit ImplB3DPolyPolygon(const ::basegfx::B3DPolygon& rToBeCopied) :
+        maPolygons(1,rToBeCopied)
+    {
+    }
+
+    bool operator==(const ImplB3DPolyPolygon& rPolygonList) const
+    {
+        // same polygon count?
+        if(maPolygons.size() != rPolygonList.maPolygons.size())
+            return false;
+
+        // compare polygon content
+        if(maPolygons != rPolygonList.maPolygons)
+            return false;
+
+        return true;
+    }
+
+    const ::basegfx::B3DPolygon& getB3DPolygon(sal_uInt32 nIndex) const
+    {
+        return maPolygons[nIndex];
+    }
+
+    void setB3DPolygon(sal_uInt32 nIndex, const ::basegfx::B3DPolygon& rPolygon)
+    {
+        maPolygons[nIndex] = rPolygon;
+    }
+
+    void insert(sal_uInt32 nIndex, const ::basegfx::B3DPolygon& rPolygon, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // add nCount copies of rPolygon
+            PolygonVector::iterator aIndex(maPolygons.begin());
+            if( nIndex )
+                aIndex += nIndex;
+            maPolygons.insert(aIndex, nCount, rPolygon);
+        }
+    }
+
+    void insert(sal_uInt32 nIndex, const ::basegfx::B3DPolyPolygon& rPolyPolygon)
+    {
+        // add all polygons from rPolyPolygon
+        PolygonVector::iterator aIndex(maPolygons.begin());
+        if( nIndex )
+            aIndex += nIndex;
+        maPolygons.insert(aIndex, rPolyPolygon.begin(), rPolyPolygon.end());
+    }
+
+    void remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        if(nCount)
+        {
+            // remove polygon data
+            PolygonVector::iterator aStart(maPolygons.begin());
+            aStart += nIndex;
+            const PolygonVector::iterator aEnd(aStart + nCount);
+
+            maPolygons.erase(aStart, aEnd);
+        }
+    }
+
+    sal_uInt32 count() const
+    {
+        return maPolygons.size();
+    }
+
+    void flip()
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.flip();
+    }
+
+    void removeDoublePoints()
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.removeDoublePoints();
+    }
+
+    void transform(const ::basegfx::B3DHomMatrix& rMatrix)
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.transform(rMatrix);
+    }
+
+    void clearBColors()
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.clearBColors();
+    }
+
+    void transformNormals(const ::basegfx::B3DHomMatrix& rMatrix)
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.transformNormals(rMatrix);
+    }
+
+    void clearNormals()
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.clearNormals();
+    }
+
+    void transformTextureCoordinates(const ::basegfx::B2DHomMatrix& rMatrix)
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.transformTextureCoordinates(rMatrix);
+    }
+
+    void clearTextureCoordinates()
+    {
+        for (auto& aPolygon : maPolygons)
+            aPolygon.clearTextureCoordinates();
+    }
+
+    const basegfx::B3DPolygon* begin() const
+    {
+        if (maPolygons.empty())
+            return nullptr;
+        else
+            return maPolygons.data();
+    }
+
+    const basegfx::B3DPolygon* end() const
+    {
+        if (maPolygons.empty())
+            return nullptr;
+        else
+            return maPolygons.data() + maPolygons.size();
+    }
+
+    basegfx::B3DPolygon* begin()
+    {
+        if (maPolygons.empty())
+            return nullptr;
+        else
+            return maPolygons.data();
+    }
+
+    basegfx::B3DPolygon* end()
+    {
+        if (maPolygons.empty())
+            return nullptr;
+        else
+            return maPolygons.data() + maPolygons.size();
+    }
+};
+
+namespace basegfx
+{
+    namespace {
+
+    B3DPolyPolygon::ImplType const & getDefaultPolyPolygon() {
+        static B3DPolyPolygon::ImplType const singleton;
+        return singleton;
+    }
+
+    }
+
+    B3DPolyPolygon::B3DPolyPolygon() :
+        mpPolyPolygon(getDefaultPolyPolygon())
+    {
+    }
+
+    B3DPolyPolygon::B3DPolyPolygon(const B3DPolyPolygon&) = default;
+
+    B3DPolyPolygon::B3DPolyPolygon(B3DPolyPolygon&&) = default;
+
+    B3DPolyPolygon::B3DPolyPolygon(const B3DPolygon& rPolygon) :
+        mpPolyPolygon( ImplB3DPolyPolygon(rPolygon) )
+    {
+    }
+
+    B3DPolyPolygon::~B3DPolyPolygon() = default;
+
+    B3DPolyPolygon& B3DPolyPolygon::operator=(const B3DPolyPolygon&) = default;
+
+    B3DPolyPolygon& B3DPolyPolygon::operator=(B3DPolyPolygon&&) = default;
+
+    bool B3DPolyPolygon::operator==(const B3DPolyPolygon& rPolyPolygon) const
+    {
+        if(mpPolyPolygon.same_object(rPolyPolygon.mpPolyPolygon))
+            return true;
+
+        return ((*mpPolyPolygon) == (*rPolyPolygon.mpPolyPolygon));
+    }
+
+    bool B3DPolyPolygon::operator!=(const B3DPolyPolygon& rPolyPolygon) const
+    {
+        return !(*this == rPolyPolygon);
+    }
+
+    sal_uInt32 B3DPolyPolygon::count() const
+    {
+        return mpPolyPolygon->count();
+    }
+
+    B3DPolygon const & B3DPolyPolygon::getB3DPolygon(sal_uInt32 nIndex) const
+    {
+        OSL_ENSURE(nIndex < mpPolyPolygon->count(), "B3DPolyPolygon access outside range (!)");
+
+        return mpPolyPolygon->getB3DPolygon(nIndex);
+    }
+
+    void B3DPolyPolygon::setB3DPolygon(sal_uInt32 nIndex, const B3DPolygon& rPolygon)
+    {
+        OSL_ENSURE(nIndex < std::as_const(mpPolyPolygon)->count(), "B3DPolyPolygon access outside range (!)");
+
+        if(getB3DPolygon(nIndex) != rPolygon)
+            mpPolyPolygon->setB3DPolygon(nIndex, rPolygon);
+    }
+
+    bool B3DPolyPolygon::areBColorsUsed() const
+    {
+        for(sal_uInt32 a(0); a < mpPolyPolygon->count(); a++)
+        {
+            if(mpPolyPolygon->getB3DPolygon(a).areBColorsUsed())
+            {
+                return true;
+            }
+        }
+
+        return false;
+    }
+
+    void B3DPolyPolygon::clearBColors()
+    {
+        if(areBColorsUsed())
+            mpPolyPolygon->clearBColors();
+    }
+
+    void B3DPolyPolygon::transformNormals(const B3DHomMatrix& rMatrix)
+    {
+        if(!rMatrix.isIdentity())
+            mpPolyPolygon->transformNormals(rMatrix);
+    }
+
+    bool B3DPolyPolygon::areNormalsUsed() const
+    {
+        for(sal_uInt32 a(0); a < mpPolyPolygon->count(); a++)
+        {
+            if(mpPolyPolygon->getB3DPolygon(a).areNormalsUsed())
+            {
+                return true;
+            }
+        }
+
+        return false;
+    }
+
+    void B3DPolyPolygon::clearNormals()
+    {
+        if(areNormalsUsed())
+            mpPolyPolygon->clearNormals();
+    }
+
+    void B3DPolyPolygon::transformTextureCoordinates(const B2DHomMatrix& rMatrix)
+    {
+        if(!rMatrix.isIdentity())
+            mpPolyPolygon->transformTextureCoordinates(rMatrix);
+    }
+
+    bool B3DPolyPolygon::areTextureCoordinatesUsed() const
+    {
+        for(sal_uInt32 a(0); a < mpPolyPolygon->count(); a++)
+        {
+            if(mpPolyPolygon->getB3DPolygon(a).areTextureCoordinatesUsed())
+            {
+                return true;
+            }
+        }
+
+        return false;
+    }
+
+    void B3DPolyPolygon::clearTextureCoordinates()
+    {
+        if(areTextureCoordinatesUsed())
+            mpPolyPolygon->clearTextureCoordinates();
+    }
+
+    void B3DPolyPolygon::append(const B3DPolygon& rPolygon, sal_uInt32 nCount)
+    {
+        if(nCount)
+            mpPolyPolygon->insert(std::as_const(mpPolyPolygon)->count(), rPolygon, nCount);
+    }
+
+    void B3DPolyPolygon::append(const B3DPolyPolygon& rPolyPolygon)
+    {
+        if(rPolyPolygon.count())
+            mpPolyPolygon->insert(std::as_const(mpPolyPolygon)->count(), rPolyPolygon);
+    }
+
+    void B3DPolyPolygon::remove(sal_uInt32 nIndex, sal_uInt32 nCount)
+    {
+        OSL_ENSURE(nIndex + nCount <= std::as_const(mpPolyPolygon)->count(), "B3DPolyPolygon Remove outside range (!)");
+
+        if(nCount)
+            mpPolyPolygon->remove(nIndex, nCount);
+    }
+
+    void B3DPolyPolygon::clear()
+    {
+        mpPolyPolygon = getDefaultPolyPolygon();
+    }
+
+    void B3DPolyPolygon::flip()
+    {
+        mpPolyPolygon->flip();
+    }
+
+    bool B3DPolyPolygon::hasDoublePoints() const
+    {
+        bool bRetval(false);
+
+        for(sal_uInt32 a(0); !bRetval && a < mpPolyPolygon->count(); a++)
+        {
+            if(mpPolyPolygon->getB3DPolygon(a).hasDoublePoints())
+            {
+                bRetval = true;
+            }
+        }
+
+        return bRetval;
+    }
+
+    void B3DPolyPolygon::removeDoublePoints()
+    {
+        if(hasDoublePoints())
+            mpPolyPolygon->removeDoublePoints();
+    }
+
+    void B3DPolyPolygon::transform(const B3DHomMatrix& rMatrix)
+    {
+        if(std::as_const(mpPolyPolygon)->count() && !rMatrix.isIdentity())
+        {
+            mpPolyPolygon->transform(rMatrix);
+        }
+    }
+
+    const B3DPolygon* B3DPolyPolygon::begin() const
+    {
+        return mpPolyPolygon->begin();
+    }
+
+    const B3DPolygon* B3DPolyPolygon::end() const
+    {
+        return mpPolyPolygon->end();
+    }
+
+    B3DPolygon* B3DPolyPolygon::begin()
+    {
+        return mpPolyPolygon->begin();
+    }
+
+    B3DPolygon* B3DPolyPolygon::end()
+    {
+        return mpPolyPolygon->end();
+    }
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/polygon/b3dpolypolygontools.cxx b/basegfx/source/polygon/b3dpolypolygontools.cxx
new file mode 100644
index 000000000..62ddd3ae7
--- /dev/null
+++ b/basegfx/source/polygon/b3dpolypolygontools.cxx
@@ -0,0 +1,588 @@
+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ *   Licensed to the Apache Software Foundation (ASF) under one or more
+ *   contributor license agreements. See the NOTICE file distributed
+ *   with this work for additional information regarding copyright
+ *   ownership. The ASF licenses this file to you under the Apache
+ *   License, Version 2.0 (the "License"); you may not use this file
+ *   except in compliance with the License. You may obtain a copy of
+ *   the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <basegfx/polygon/b3dpolypolygontools.hxx>
+#include <basegfx/range/b3drange.hxx>
+#include <basegfx/polygon/b3dpolypolygon.hxx>
+#include <basegfx/polygon/b3dpolygon.hxx>
+#include <basegfx/polygon/b3dpolygontools.hxx>
+#include <basegfx/matrix/b3dhommatrix.hxx>
+#include <basegfx/numeric/ftools.hxx>
+#include <com/sun/star/drawing/DoubleSequence.hpp>
+#include <com/sun/star/drawing/PolyPolygonShape3D.hpp>
+
+// predefines
+#define nMinSegments sal_uInt32(1)
+#define nMaxSegments sal_uInt32(512)
+
+namespace basegfx::utils
+{
+        // B3DPolyPolygon tools
+        B3DRange getRange(const B3DPolyPolygon& rCandidate)
+        {
+            B3DRange aRetval;
+            const sal_uInt32 nPolygonCount(rCandidate.count());
+
+            for(sal_uInt32 a(0); a < nPolygonCount; a++)
+            {
+                const B3DPolygon& aCandidate = rCandidate.getB3DPolygon(a);
+                aRetval.expand(getRange(aCandidate));
+            }
+
+            return aRetval;
+        }
+
+        B3DPolyPolygon const & createUnitCubePolyPolygon()
+        {
+            static auto const singleton = [] {
+                    B3DPolyPolygon aRetval;
+                    B3DPolygon aTemp;
+                    aTemp.append(B3DPoint(0.0, 0.0, 1.0));
+                    aTemp.append(B3DPoint(0.0, 1.0, 1.0));
+                    aTemp.append(B3DPoint(1.0, 1.0, 1.0));
+                    aTemp.append(B3DPoint(1.0, 0.0, 1.0));
+                    aTemp.setClosed(true);
+                    aRetval.append(aTemp);
+
+                    aTemp.clear();
+                    aTemp.append(B3DPoint(0.0, 0.0, 0.0));
+                    aTemp.append(B3DPoint(0.0, 1.0, 0.0));
+                    aTemp.append(B3DPoint(1.0, 1.0, 0.0));
+                    aTemp.append(B3DPoint(1.0, 0.0, 0.0));
+                    aTemp.setClosed(true);
+                    aRetval.append(aTemp);
+
+                    aTemp.clear();
+                    aTemp.append(B3DPoint(0.0, 0.0, 0.0));
+                    aTemp.append(B3DPoint(0.0, 0.0, 1.0));
+                    aRetval.append(aTemp);
+
+                    aTemp.clear();
+                    aTemp.append(B3DPoint(0.0, 1.0, 0.0));
+                    aTemp.append(B3DPoint(0.0, 1.0, 1.0));
+                    aRetval.append(aTemp);
+
+                    aTemp.clear();
+                    aTemp.append(B3DPoint(1.0, 1.0, 0.0));
+                    aTemp.append(B3DPoint(1.0, 1.0, 1.0));
+                    aRetval.append(aTemp);
+
+                    aTemp.clear();
+                    aTemp.append(B3DPoint(1.0, 0.0, 0.0));
+                    aTemp.append(B3DPoint(1.0, 0.0, 1.0));
+                    aRetval.append(aTemp);
+                    return aRetval;
+                }();
+            return singleton;
+        }
+
+        B3DPolyPolygon const & createUnitCubeFillPolyPolygon()
+        {
+            static auto const singleton = [] {
+                    B3DPolyPolygon aRetval;
+                    B3DPolygon aTemp;
+
+                    // all points
+                    const B3DPoint A(0.0, 0.0, 0.0);
+                    const B3DPoint B(0.0, 1.0, 0.0);
+                    const B3DPoint C(1.0, 1.0, 0.0);
+                    const B3DPoint D(1.0, 0.0, 0.0);
+                    const B3DPoint E(0.0, 0.0, 1.0);
+                    const B3DPoint F(0.0, 1.0, 1.0);
+                    const B3DPoint G(1.0, 1.0, 1.0);
+                    const B3DPoint H(1.0, 0.0, 1.0);
+
+                    // create bottom
+                    aTemp.append(D);
+                    aTemp.append(A);
+                    aTemp.append(E);
+                    aTemp.append(H);
+                    aTemp.setClosed(true);
+                    aRetval.append(aTemp);
+
+                    // create front
+                    aTemp.clear();
+                    aTemp.append(B);
+                    aTemp.append(A);
+                    aTemp.append(D);
+                    aTemp.append(C);
+                    aTemp.setClosed(true);
+                    aRetval.append(aTemp);
+
+                    // create left
+                    aTemp.clear();
+                    aTemp.append(E);
+                    aTemp.append(A);
+                    aTemp.append(B);
+                    aTemp.append(F);
+                    aTemp.setClosed(true);
+                    aRetval.append(aTemp);
+
+                    // create top
+                    aTemp.clear();
+                    aTemp.append(C);
+                    aTemp.append(G);
+                    aTemp.append(F);
+                    aTemp.append(B);
+                    aTemp.setClosed(true);
+                    aRetval.append(aTemp);
+
+                    // create right
+                    aTemp.clear();
+                    aTemp.append(H);
+                    aTemp.append(G);
+                    aTemp.append(C);
+                    aTemp.append(D);
+                    aTemp.setClosed(true);
+                    aRetval.append(aTemp);
+
+                    // create back
+                    aTemp.clear();
+                    aTemp.append(F);
+                    aTemp.append(G);
+                    aTemp.append(H);
+                    aTemp.append(E);
+                    aTemp.setClosed(true);
+                    aRetval.append(aTemp);
+                    return aRetval;
+                }();
+            return singleton;
+        }
+
+        B3DPolyPolygon createCubePolyPolygonFromB3DRange( const B3DRange& rRange)
+        {
+            B3DPolyPolygon aRetval;
+
+            if(!rRange.isEmpty())
+            {
+                aRetval = createUnitCubePolyPolygon();
+                B3DHomMatrix aTrans;
+                aTrans.scale(rRange.getWidth(), rRange.getHeight(), rRange.getDepth());
+                aTrans.translate(rRange.getMinX(), rRange.getMinY(), rRange.getMinZ());
+                aRetval.transform(aTrans);
+                aRetval.removeDoublePoints();
+            }
+
+            return aRetval;
+        }
+
+        B3DPolyPolygon createCubeFillPolyPolygonFromB3DRange( const B3DRange& rRange)
+        {
+            B3DPolyPolygon aRetval;
+
+            if(!rRange.isEmpty())
+            {
+                aRetval = createUnitCubeFillPolyPolygon();
+                B3DHomMatrix aTrans;
+                aTrans.scale(rRange.getWidth(), rRange.getHeight(), rRange.getDepth());
+                aTrans.translate(rRange.getMinX(), rRange.getMinY(), rRange.getMinZ());
+                aRetval.transform(aTrans);
+                aRetval.removeDoublePoints();
+            }
+
+            return aRetval;
+        }
+
+        // helper for getting the 3D Point from given cartesian coordinates. fHor is defined from
+        // [M_PI_2 .. -M_PI_2], fVer from [0.0 .. 2PI]
+        static B3DPoint getPointFromCartesian(double fHor, double fVer)
+        {
+            const double fCosVer(cos(fVer));
+            return B3DPoint(fCosVer * cos(fHor), sin(fVer), fCosVer * -sin(fHor));
+        }
+
+        B3DPolyPolygon createUnitSpherePolyPolygon(
+            sal_uInt32 nHorSeg, sal_uInt32 nVerSeg,
+            double fVerStart, double fVerStop,
+            double fHorStart, double fHorStop)
+        {
+            B3DPolyPolygon aRetval;
+            sal_uInt32 a, b;
+
+            if(!nHorSeg)
+            {
+                nHorSeg = fround(fabs(fHorStop - fHorStart) / (M_PI / 12.0));
+            }
+
+            // min/max limitations
+            nHorSeg = std::clamp(nHorSeg, nMinSegments, nMaxSegments);
+
+            if(!nVerSeg)
+            {
+                nVerSeg = fround(fabs(fVerStop - fVerStart) / (M_PI / 12.0));
+            }
+
+            // min/max limitations
+            nVerSeg = std::clamp(nVerSeg, nMinSegments, nMaxSegments);
+
+            // create constants
+            const double fVerDiffPerStep((fVerStop - fVerStart) / static_cast<double>(nVerSeg));
+            const double fHorDiffPerStep((fHorStop - fHorStart) / static_cast<double>(nHorSeg));
+            bool bHorClosed(fTools::equal(fHorStop - fHorStart, 2 * M_PI));
+            bool bVerFromTop(fTools::equal(fVerStart, M_PI_2));
+            bool bVerToBottom(fTools::equal(fVerStop, -M_PI_2));
+
+            // create horizontal rings
+            const sal_uInt32 nLoopVerInit(bVerFromTop ? 1 : 0);
+            const sal_uInt32 nLoopVerLimit(bVerToBottom ? nVerSeg : nVerSeg + 1);
+            const sal_uInt32 nLoopHorLimit(bHorClosed ? nHorSeg : nHorSeg + 1);
+
+            for(a = nLoopVerInit; a < nLoopVerLimit; a++)
+            {
+                const double fVer(fVerStart + (static_cast<double>(a) * fVerDiffPerStep));
+                B3DPolygon aNew;
+
+                for(b = 0; b < nLoopHorLimit; b++)
+                {
+                    const double fHor(fHorStart + (static_cast<double>(b) * fHorDiffPerStep));
+                    aNew.append(getPointFromCartesian(fHor, fVer));
+                }
+
+                aNew.setClosed(bHorClosed);
+                aRetval.append(aNew);
+            }
+
+            // create vertical half-rings
+            for(a = 0; a < nLoopHorLimit; a++)
+            {
+                const double fHor(fHorStart + (static_cast<double>(a) * fHorDiffPerStep));
+                B3DPolygon aNew;
+
+                if(bVerFromTop)
+                {
+                    aNew.append(B3DPoint(0.0, 1.0, 0.0));
+                }
+
+                for(b = nLoopVerInit; b < nLoopVerLimit; b++)
+                {
+                    const double fVer(fVerStart + (static_cast<double>(b) * fVerDiffPerStep));
+                    aNew.append(getPointFromCartesian(fHor, fVer));
+                }
+
+                if(bVerToBottom)
+                {
+                    aNew.append(B3DPoint(0.0, -1.0, 0.0));
+                }
+
+                aRetval.append(aNew);
+            }
+
+            return aRetval;
+        }
+
+        B3DPolyPolygon createSpherePolyPolygonFromB3DRange( const B3DRange& rRange,
+            sal_uInt32 nHorSeg, sal_uInt32 nVerSeg,
+            double fVerStart, double fVerStop,
+            double fHorStart, double fHorStop)
+        {
+            B3DPolyPolygon aRetval(createUnitSpherePolyPolygon(nHorSeg, nVerSeg, fVerStart, fVerStop, fHorStart, fHorStop));
+
+            if(aRetval.count())
+            {
+                // move and scale whole construct which is now in [-1.0 .. 1.0] in all directions
+                B3DHomMatrix aTrans;
+                aTrans.translate(1.0, 1.0, 1.0);
+                aTrans.scale(rRange.getWidth() / 2.0, rRange.getHeight() / 2.0, rRange.getDepth() / 2.0);
+                aTrans.translate(rRange.getMinX(), rRange.getMinY(), rRange.getMinZ());
+                aRetval.transform(aTrans);
+            }
+
+            return aRetval;
+        }
+
+        B3DPolyPolygon createUnitSphereFillPolyPolygon(
+            sal_uInt32 nHorSeg, sal_uInt32 nVerSeg,
+            bool bNormals,
+            double fVerStart, double fVerStop,
+            double fHorStart, double fHorStop)
+        {
+            B3DPolyPolygon aRetval;
+
+            if(!nHorSeg)
+            {
+                nHorSeg = fround(fabs(fHorStop - fHorStart) / (M_PI / 12.0));
+            }
+
+            // min/max limitations
+            nHorSeg = std::clamp(nHorSeg, nMinSegments, nMaxSegments);
+
+            if(!nVerSeg)
+            {
+                nVerSeg = fround(fabs(fVerStop - fVerStart) / (M_PI / 12.0));
+            }
+
+            // min/max limitations
+            nVerSeg = std::clamp(nVerSeg, nMinSegments, nMaxSegments);
+
+            // vertical loop
+            for(sal_uInt32 a(0); a < nVerSeg; a++)
+            {
+                const double fVer1(fVerStart + (((fVerStop - fVerStart) * a) / nVerSeg));
+                const double fVer2(fVerStart + (((fVerStop - fVerStart) * (a + 1)) / nVerSeg));
+
+                // horizontal loop
+                for(sal_uInt32 b(0); b < nHorSeg; b++)
+                {
+                    const double fHor1(fHorStart + (((fHorStop - fHorStart) * b) / nHorSeg));
+                    const double fHor2(fHorStart + (((fHorStop - fHorStart) * (b + 1)) / nHorSeg));
+                    B3DPolygon aNew;
+
+                    aNew.append(getPointFromCartesian(fHor1, fVer1));
+                    aNew.append(getPointFromCartesian(fHor2, fVer1));
+                    aNew.append(getPointFromCartesian(fHor2, fVer2));
+                    aNew.append(getPointFromCartesian(fHor1, fVer2));
+
+                    if(bNormals)
+                    {
+                        for(sal_uInt32 c(0); c < aNew.count(); c++)
+                        {
+                            aNew.setNormal(c, ::basegfx::B3DVector(aNew.getB3DPoint(c)));
+                        }
+                    }
+
+                    aNew.setClosed(true);
+                    aRetval.append(aNew);
+                }
+            }
+
+            return aRetval;
+        }
+
+        B3DPolyPolygon createSphereFillPolyPolygonFromB3DRange( const B3DRange& rRange,
+            sal_uInt32 nHorSeg, sal_uInt32 nVerSeg,
+            bool bNormals,
+            double fVerStart, double fVerStop,
+            double fHorStart, double fHorStop)
+        {
+            B3DPolyPolygon aRetval(createUnitSphereFillPolyPolygon(nHorSeg, nVerSeg, bNormals, fVerStart, fVerStop, fHorStart, fHorStop));
+
+            if(aRetval.count())
+            {
+                // move and scale whole construct which is now in [-1.0 .. 1.0] in all directions
+                B3DHomMatrix aTrans;
+                aTrans.translate(1.0, 1.0, 1.0);
+                aTrans.scale(rRange.getWidth() / 2.0, rRange.getHeight() / 2.0, rRange.getDepth() / 2.0);
+                aTrans.translate(rRange.getMinX(), rRange.getMinY(), rRange.getMinZ());
+                aRetval.transform(aTrans);
+            }
+
+            return aRetval;
+        }
+
+        B3DPolyPolygon applyDefaultNormalsSphere( const B3DPolyPolygon& rCandidate, const B3DPoint& rCenter)
+        {
+            B3DPolyPolygon aRetval;
+
+            for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+            {
+                aRetval.append(applyDefaultNormalsSphere(rCandidate.getB3DPolygon(a), rCenter));
+            }
+
+            return aRetval;
+        }
+
+        B3DPolyPolygon invertNormals( const B3DPolyPolygon& rCandidate)
+        {
+            B3DPolyPolygon aRetval;
+
+            for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+            {
+                aRetval.append(invertNormals(rCandidate.getB3DPolygon(a)));
+            }
+
+            return aRetval;
+        }
+
+        B3DPolyPolygon applyDefaultTextureCoordinatesParallel( const B3DPolyPolygon& rCandidate, const B3DRange& rRange, bool bChangeX, bool bChangeY)
+        {
+            B3DPolyPolygon aRetval;
+
+            for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+            {
+                aRetval.append(applyDefaultTextureCoordinatesParallel(rCandidate.getB3DPolygon(a), rRange, bChangeX, bChangeY));
+            }
+
+            return aRetval;
+        }
+
+        B3DPolyPolygon applyDefaultTextureCoordinatesSphere( const B3DPolyPolygon& rCandidate, const B3DPoint& rCenter, bool bChangeX, bool bChangeY)
+        {
+            B3DPolyPolygon aRetval;
+
+            for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+            {
+                aRetval.append(applyDefaultTextureCoordinatesSphere(rCandidate.getB3DPolygon(a), rCenter, bChangeX, bChangeY));
+            }
+
+            return aRetval;
+        }
+
+        bool isInside(const B3DPolyPolygon& rCandidate, const B3DPoint& rPoint)
+        {
+            const sal_uInt32 nPolygonCount(rCandidate.count());
+
+            if(nPolygonCount == 1)
+            {
+                return isInside(rCandidate.getB3DPolygon(0), rPoint, false/*bWithBorder*/);
+            }
+            else
+            {
+                sal_Int32 nInsideCount(0);
+
+                for(sal_uInt32 a(0); a < nPolygonCount; a++)
+                {
+                    const B3DPolygon& aPolygon(rCandidate.getB3DPolygon(a));
+                    const bool bInside(isInside(aPolygon, rPoint, false/*bWithBorder*/));
+
+                    if(bInside)
+                    {
+                        nInsideCount++;
+                    }
+                }
+
+                return (nInsideCount % 2);
+            }
+        }
+
+/// converters for css::drawing::PolyPolygonShape3D
+        B3DPolyPolygon UnoPolyPolygonShape3DToB3DPolyPolygon(
+            const css::drawing::PolyPolygonShape3D& rPolyPolygonShape3DSource)
+        {
+            B3DPolyPolygon aRetval;
+            const sal_Int32 nOuterSequenceCount(rPolyPolygonShape3DSource.SequenceX.getLength());
+
+            if(nOuterSequenceCount)
+            {
+                assert(nOuterSequenceCount == rPolyPolygonShape3DSource.SequenceY.getLength()
+                           && nOuterSequenceCount
+                                  == rPolyPolygonShape3DSource.SequenceZ.getLength()&&
+                       "UnoPolyPolygonShape3DToB3DPolygon: Not all double sequences have the same "
+                       "length (!)" );
+
+                const css::drawing::DoubleSequence* pInnerSequenceX = rPolyPolygonShape3DSource.SequenceX.getConstArray();
+                const css::drawing::DoubleSequence* pInnerSequenceY = rPolyPolygonShape3DSource.SequenceY.getConstArray();
+                const css::drawing::DoubleSequence* pInnerSequenceZ = rPolyPolygonShape3DSource.SequenceZ.getConstArray();
+
+                for(sal_Int32 a(0); a < nOuterSequenceCount; a++)
+                {
+                    basegfx::B3DPolygon aNewPolygon;
+                    const sal_Int32 nInnerSequenceCount(pInnerSequenceX->getLength());
+                    assert(nInnerSequenceCount == pInnerSequenceY->getLength()
+                           && nInnerSequenceCount == pInnerSequenceZ->getLength()
+                           && "UnoPolyPolygonShape3DToB3DPolygon: Not all double sequences have "
+                              "the same length (!)");
+
+                    const double* pArrayX = pInnerSequenceX->getConstArray();
+                    const double* pArrayY = pInnerSequenceY->getConstArray();
+                    const double* pArrayZ = pInnerSequenceZ->getConstArray();
+
+                    for(sal_Int32 b(0); b < nInnerSequenceCount; b++)
+                    {
+                        aNewPolygon.append(basegfx::B3DPoint(*pArrayX++,*pArrayY++,*pArrayZ++));
+                    }
+
+                    pInnerSequenceX++;
+                    pInnerSequenceY++;
+                    pInnerSequenceZ++;
+
+                    // #i101520# correction is needed for imported polygons of old format,
+                    // see callers
+                    basegfx::utils::checkClosed(aNewPolygon);
+
+                    aRetval.append(aNewPolygon);
+                }
+            }
+
+            return aRetval;
+        }
+
+        void B3DPolyPolygonToUnoPolyPolygonShape3D(
+            const B3DPolyPolygon& rPolyPolygonSource,
+            css::drawing::PolyPolygonShape3D& rPolyPolygonShape3DRetval)
+        {
+            const sal_uInt32 nPolygonCount(rPolyPolygonSource.count());
+
+            if(nPolygonCount)
+            {
+                rPolyPolygonShape3DRetval.SequenceX.realloc(nPolygonCount);
+                rPolyPolygonShape3DRetval.SequenceY.realloc(nPolygonCount);
+                rPolyPolygonShape3DRetval.SequenceZ.realloc(nPolygonCount);
+
+                css::drawing::DoubleSequence* pOuterSequenceX = rPolyPolygonShape3DRetval.SequenceX.getArray();
+                css::drawing::DoubleSequence* pOuterSequenceY = rPolyPolygonShape3DRetval.SequenceY.getArray();
+                css::drawing::DoubleSequence* pOuterSequenceZ = rPolyPolygonShape3DRetval.SequenceZ.getArray();
+
+                for(sal_uInt32 a(0); a < nPolygonCount; a++)
+                {
+                    const basegfx::B3DPolygon& aPoly(rPolyPolygonSource.getB3DPolygon(a));
+                    const sal_uInt32 nPointCount(aPoly.count());
+
+                    if(nPointCount)
+                    {
+                        const bool bIsClosed(aPoly.isClosed());
+                        const sal_uInt32 nTargetCount(bIsClosed ? nPointCount + 1 : nPointCount);
+                        pOuterSequenceX->realloc(nTargetCount);
+                        pOuterSequenceY->realloc(nTargetCount);
+                        pOuterSequenceZ->realloc(nTargetCount);
+
+                        double* pInnerSequenceX = pOuterSequenceX->getArray();
+                        double* pInnerSequenceY = pOuterSequenceY->getArray();
+                        double* pInnerSequenceZ = pOuterSequenceZ->getArray();
+
+                        for(sal_uInt32 b(0); b < nPointCount; b++)
+                        {
+                            const basegfx::B3DPoint aPoint(aPoly.getB3DPoint(b));
+
+                            *pInnerSequenceX++ = aPoint.getX();
+                            *pInnerSequenceY++ = aPoint.getY();
+                            *pInnerSequenceZ++ = aPoint.getZ();
+                        }
+
+                        if(bIsClosed)
+                        {
+                            const basegfx::B3DPoint aPoint(aPoly.getB3DPoint(0));
+
+                            *pInnerSequenceX++ = aPoint.getX();
+                            *pInnerSequenceY++ = aPoint.getY();
+                            *pInnerSequenceZ++ = aPoint.getZ();
+                        }
+                    }
+                    else
+                    {
+                        pOuterSequenceX->realloc(0);
+                        pOuterSequenceY->realloc(0);
+                        pOuterSequenceZ->realloc(0);
+                    }
+
+                    pOuterSequenceX++;
+                    pOuterSequenceY++;
+                    pOuterSequenceZ++;
+                }
+            }
+            else
+            {
+                rPolyPolygonShape3DRetval.SequenceX.realloc(0);
+                rPolyPolygonShape3DRetval.SequenceY.realloc(0);
+                rPolyPolygonShape3DRetval.SequenceZ.realloc(0);
+            }
+        }
+
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */