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+/* This file is part of the libdepixelize project
+ Copyright (C) 2013 Vinícius dos Santos Oliveira <vini.ipsmaker@gmail.com>
+
+ GNU Lesser General Public License Usage
+ This library is free software; you can redistribute it and/or modify it
+ under the terms of the GNU Lesser General Public License as published by the
+ Free Software Foundation; either version 2.1 of the License, or (at your
+ option) any later version.
+ You should have received a copy of the GNU Lesser General Public License
+ along with this library. If not, see <http://www.gnu.org/licenses/>.
+
+ GNU General Public License Usage
+ Alternatively, this library may be used under the terms of the GNU General
+ Public License as published by the Free Software Foundation, either version
+ 2 of the License, or (at your option) any later version.
+ You should have received a copy of the GNU General Public License along with
+ this library. If not, see <http://www.gnu.org/licenses/>.
+
+ This library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+*/
+
+#ifndef LIBDEPIXELIZE_TRACER_HOMOGENEOUSSPLINES_H
+#define LIBDEPIXELIZE_TRACER_HOMOGENEOUSSPLINES_H
+
+#include "simplifiedvoronoi.h"
+#include "point.h"
+#include <algorithm>
+#include <utility>
+
+namespace Tracer {
+
+template<typename T>
+class HomogeneousSplines
+{
+public:
+ struct Polygon
+ {
+ typedef std::vector< Point<T> > Points;
+ typedef typename Points::iterator points_iter;
+ typedef typename Points::const_iterator const_points_iter;
+ typedef typename std::vector<Points>::iterator holes_iter;
+ typedef typename std::vector<Points>::const_iterator const_holes_iter;
+
+ Polygon() {}
+ Polygon(const guint8 (&rgba)[4])
+ {
+ for ( int i = 0 ; i != 4 ; ++i )
+ this->rgba[i] = rgba[i];
+ }
+
+ std::vector< Point<T> > vertices;
+
+ /**
+ * It may be benefited from C++11 move references.
+ */
+ std::vector< std::vector< Point<T> > > holes;
+
+ guint8 rgba[4];
+ };
+
+ typedef typename std::vector<Polygon>::iterator iterator;
+ typedef typename std::vector<Polygon>::const_iterator const_iterator;
+ typedef typename std::vector<Polygon>::size_type size_type;
+
+ template<bool adjust_splines>
+ HomogeneousSplines(const SimplifiedVoronoi<T, adjust_splines> &voronoi);
+
+ // Iterators
+ iterator begin()
+ {
+ return _polygons.begin();
+ }
+
+ const_iterator begin() const
+ {
+ return _polygons.begin();
+ }
+
+ iterator end()
+ {
+ return _polygons.end();
+ }
+
+ const_iterator end() const
+ {
+ return _polygons.end();
+ }
+
+ size_type size() const
+ {
+ return _polygons.size();
+ }
+
+ int width() const
+ {
+ return _width;
+ }
+
+ int height() const
+ {
+ return _height;
+ }
+
+private:
+ typedef std::vector< Point<T> > Points;
+ typedef typename Points::iterator points_iter;
+ typedef typename Points::const_iterator points_citer;
+ typedef typename Points::reverse_iterator points_riter;
+ typedef typename Points::const_reverse_iterator points_criter;
+
+ typedef std::pair<points_iter, points_iter> points_range;
+ typedef std::pair<points_citer, points_citer> points_crange;
+
+ struct CommonEdge
+ {
+ bool ok; //< share an edge
+ Points *dst;
+ const Points *src;
+
+ // the interval is closed on both ends
+ // different from [begin, end) STL style
+ points_iter dst_begin, dst_end;
+ points_citer src_begin, src_end;
+ };
+
+ struct SelfCommonEdge
+ {
+ bool ok; //< share an edge
+
+ // Greater range. The one that should be erased from the vector.
+ points_riter grt_begin, grt_end;
+
+ // Smaller range. The one that should be used to create a new vector.
+ points_riter sml_begin, sml_end;
+ };
+
+ /**
+ * Return ok == true if they share an edge (more than one point).
+ */
+ CommonEdge _common_edge(Points &dst, const Points &src);
+
+ /**
+ * Return ok == true if they share an edge (more than one point).
+ *
+ * - [dst_begin, dst_end) will contain the hole polygon
+ * - [src_begin, src_end) will contain the range to be erased
+ *
+ * It's required to do the search in backward order.
+ */
+ SelfCommonEdge _common_edge(Points &points, points_riter it);
+
+ /*!
+ * Add polygon represented by \p common_edge.src to \p common_edge.dst.
+ */
+ void _polygon_union(CommonEdge common_edge);
+
+ /**
+ * Weird recursive function created to solve the complex problem to fill
+ * polygons holes without the need to store temporaries on the heap nor
+ * changing requirements to some data type that don't invalidate iterators
+ * that point before the current element (maybe I'll write some poetry about
+ * the problem someday).
+ */
+ void _fill_holes(std::vector<Points> &holes, points_iter region_begin,
+ points_iter region_end);
+
+ std::vector<Polygon> _polygons;
+ int _width;
+ int _height;
+};
+
+template<class T>
+template<bool adjust_splines>
+HomogeneousSplines<T>::HomogeneousSplines(const SimplifiedVoronoi<T,
+ adjust_splines> &voronoi) :
+ _width(voronoi.width()),
+ _height(voronoi.height())
+{
+ //if (!voronoi.size())
+ // return;
+ using colorspace::same_color;
+
+ typedef typename SimplifiedVoronoi<T, adjust_splines>::const_iterator
+ voronoi_citer;
+
+ // Identify visible edges (group polygons with the same color)
+ for ( voronoi_citer cell_it = voronoi.begin(), cell_end = voronoi.end()
+ ; cell_it != cell_end ; ++cell_it ) {
+ bool found = false;
+ for ( iterator polygon_it = _polygons.begin(),
+ polygon_end = _polygons.end()
+ ; polygon_it != polygon_end ; ++polygon_it ) {
+ if ( same_color(polygon_it->rgba, cell_it->rgba) ) {
+ CommonEdge common_edge = _common_edge(polygon_it->vertices,
+ cell_it->vertices);
+ if ( common_edge.ok ) {
+ _polygon_union(common_edge);
+ found = true;
+
+ for ( iterator polygon2_it = polygon_it + 1
+ ; polygon2_it != polygon_end ; ++polygon2_it ) {
+ if ( same_color(polygon_it->rgba, polygon2_it->rgba) ) {
+ CommonEdge common_edge2
+ = _common_edge(polygon_it->vertices,
+ polygon2_it->vertices);
+ if ( common_edge2.ok ) {
+ _polygon_union(common_edge2);
+ _polygons.erase(polygon2_it);
+ break;
+ }
+ }
+ }
+
+ break;
+ }
+ }
+ }
+ if ( !found ) {
+ Polygon polygon(cell_it->rgba);
+ polygon.vertices = cell_it->vertices;
+ _polygons.insert(_polygons.end(), polygon);
+ }
+ }
+
+ // Find polygons with holes and fix them
+ // This iteration runs such complex time-consuming algorithm, but each
+ // polygon has an independent result. They wouldn't even need to share/sync
+ // results and the only waste would be a join at the end of the for.
+ for ( typename std::vector<Polygon>::iterator it = _polygons.begin(),
+ end = _polygons.end() ; it != end ; ++it ) {
+ SelfCommonEdge ce = _common_edge(it->vertices, it->vertices.rbegin());
+ while ( ce.ok ) {
+ _fill_holes(it->holes, ce.sml_end.base(), ce.sml_begin.base());
+ it->vertices.erase(ce.grt_end.base() + 1, ce.grt_begin.base());
+ ce = _common_edge(it->vertices, ce.grt_end);
+ }
+ }
+}
+
+// it can infinite loop if points of both entities are equal,
+// but this shouldn't happen if user has only access to Kopf2011 interface
+template<class T>
+typename HomogeneousSplines<T>::CommonEdge
+HomogeneousSplines<T>::_common_edge(Points &dst, const Points &src)
+{
+ // It's an edge, then the points are closer together. After we find the
+ // first point, there is no need for check against all points of the src
+ // a second time
+
+ const points_iter dst_begin = dst.begin();
+ const points_iter dst_end = dst.end();
+
+ const points_citer src_begin = src.begin();
+ const points_citer src_end = src.end();
+
+ for ( points_iter it = dst_begin ; it != dst_end ; ++it ) {
+ points_citer src_it = std::find(src_begin, src_end, *it);
+
+ if ( src_it == src_end )
+ continue;
+
+ points_iter dst_common_edge_begin = it;
+ points_citer src_common_edge_end = src_it;
+
+ // iterate until find the beginning of the common edge range
+ while ( *dst_common_edge_begin == *src_common_edge_end ) {
+ if ( dst_common_edge_begin == dst_begin )
+ dst_common_edge_begin = dst_end - 1;
+ else
+ --dst_common_edge_begin;
+
+ ++src_common_edge_end;
+ if ( src_common_edge_end == src_end )
+ src_common_edge_end = src_begin;
+ }
+
+ // fix {dst_begin, src_end} range
+ ++dst_common_edge_begin;
+ if ( dst_common_edge_begin == dst_end )
+ dst_common_edge_begin = dst_begin;
+
+ if ( src_common_edge_end == src_begin )
+ src_common_edge_end = src_end - 1;
+ else
+ --src_common_edge_end;
+
+ points_iter dst_common_edge_end = it;
+ points_citer src_common_edge_begin = src_it;
+
+ // find the end of the common edge range
+ while ( *dst_common_edge_end == *src_common_edge_begin ) {
+ ++dst_common_edge_end;
+ if ( dst_common_edge_end == dst_end )
+ dst_common_edge_end = dst_begin;
+
+ if ( src_common_edge_begin == src_begin )
+ src_common_edge_begin = src_end - 1;
+ else
+ --src_common_edge_begin;
+ }
+
+ // fix {dst_end, src_begin} range
+ if ( dst_common_edge_end == dst_begin )
+ dst_common_edge_end = dst_end - 1;
+ else
+ --dst_common_edge_end;
+
+ ++src_common_edge_begin;
+ if ( src_common_edge_begin == src_end )
+ src_common_edge_begin = src_begin;
+
+ CommonEdge ret;
+
+ // if only one point in common
+ if ( dst_common_edge_begin == dst_common_edge_end )
+ continue;
+
+ ret.ok = true;
+
+ ret.dst = &dst;
+ ret.dst_begin = dst_common_edge_begin;
+ ret.dst_end = dst_common_edge_end;
+
+ ret.src = &src;
+ ret.src_begin = src_common_edge_begin;
+ ret.src_end = src_common_edge_end;
+
+ return ret;
+ }
+
+ CommonEdge ret;
+ ret.ok = false;
+ return ret;
+}
+
+template<class T>
+typename HomogeneousSplines<T>::SelfCommonEdge
+HomogeneousSplines<T>::_common_edge(Points &points, points_riter it)
+{
+ SelfCommonEdge ret;
+
+ ret.grt_end = points.rend();
+
+ for ( ; it != ret.grt_end ; ++it ) {
+ ret.sml_end = std::find(it + 1, ret.grt_end, *it);
+
+ if ( ret.sml_end == ret.grt_end )
+ continue;
+
+ ret.grt_begin = it;
+ ret.grt_end = ret.sml_end + 1;
+
+ ret.sml_begin = it;
+
+ while ( *ret.sml_begin == *ret.sml_end ) {
+ ++ret.sml_begin;
+ --ret.sml_end;
+ }
+
+ --ret.sml_begin;
+ ++ret.sml_end;
+ ++ret.sml_end;
+
+ ret.ok = true;
+ return ret;
+ }
+
+ ret.ok = false;
+ return ret;
+}
+
+template<class T>
+void HomogeneousSplines<T>::_polygon_union(CommonEdge common_edge)
+{
+ Points &dst = *common_edge.dst;
+ const Points &src = *common_edge.src;
+
+ // the rotated cell must be inserted before (dst.begin() + index)
+ typename Points::difference_type index;
+
+ // first, we remove the common edge in dst
+ if ( common_edge.dst_begin < common_edge.dst_end ) {
+ // common edge is in the middle of dst
+
+ index = dst.erase(common_edge.dst_begin,
+ common_edge.dst_end + 1) - dst.begin();
+ } else {
+ // common edge cross the end of dst
+
+ dst.erase(common_edge.dst_begin, dst.end());
+ dst.erase(dst.begin(), common_edge.dst_end);
+ index = dst.end() - dst.begin();
+ }
+
+ // second, we copy src points to polygon
+ if ( common_edge.src_begin < common_edge.src_end ) {
+ // common edge is in the middle of src
+
+ const typename Points::difference_type nfirstinserted
+ = src.end() - common_edge.src_end;
+ const typename Points::difference_type nsecondinserted
+ = 1 + (common_edge.src_begin - src.begin());
+
+ dst.reserve(dst.size() + nfirstinserted + nsecondinserted);
+
+ dst.insert(dst.begin() + index, common_edge.src_end, src.end());
+
+ dst.insert(dst.begin() + index + nfirstinserted,
+ src.begin(), common_edge.src_begin + 1);
+ } else {
+ // common edge cross the end of src
+
+ dst.reserve(dst.size() + 1
+ + (common_edge.src_begin - common_edge.src_end));
+
+ dst.insert(dst.begin() + index,
+ common_edge.src_end, common_edge.src_begin + 1);
+ }
+}
+
+// The following piece of code is so evil that you could end up invoking an
+// ancient beast if you proceed to read it, but I'll be able to explain it in
+// the form of some video (text is not so representative as an image).
+template<class T>
+void HomogeneousSplines<T>::_fill_holes(std::vector<Points> &holes,
+ points_iter region_begin,
+ points_iter region_end)
+{
+ // the exact location might not always be back and iterators will be
+ // invalidated after some insertions, then the index is required
+ const typename std::vector<Points>::size_type hole_index = holes.size();
+ holes.resize(hole_index + 1);
+
+ for ( points_iter it = region_begin + 1 ; it != region_end ; ++it ) {
+ points_iter res = std::find(it + 1, region_end, *it);
+ if ( res == region_end )
+ continue;
+
+ holes[hole_index].insert(holes[hole_index].end(), region_begin,
+ it);
+ region_begin = res;
+
+ do {
+ ++it;
+ --res;
+ } while ( *it == *res );
+ _fill_holes(holes, it - 1, res + 2);
+
+ it = region_begin;
+ }
+
+ holes[hole_index].insert(holes[hole_index].end(), region_begin,
+ region_end - 1);
+}
+
+} // namespace Tracer
+
+#endif // LIBDEPIXELIZE_TRACER_HOMOGENEOUSSPLINES_H
+
+/*
+ Local Variables:
+ mode:c++
+ c-file-style:"stroustrup"
+ c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
+ indent-tabs-mode:nil
+ fill-column:99
+ End:
+*/
+// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:encoding=utf-8:textwidth=99 :