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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-13 11:57:42 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-13 11:57:42 +0000
commit61f3ab8f23f4c924d455757bf3e65f8487521b5a (patch)
tree885599a36a308f422af98616bc733a0494fe149a /include/2geom/bezier-utils.h
parentInitial commit. (diff)
downloadlib2geom-upstream.tar.xz
lib2geom-upstream.zip
Adding upstream version 1.3.upstream/1.3upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
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+/**
+ * \file
+ * \brief Bezier fitting algorithms
+ *//*
+ * An Algorithm for Automatically Fitting Digitized Curves
+ * by Philip J. Schneider
+ * from "Graphics Gems", Academic Press, 1990
+ *
+ * Authors:
+ * Philip J. Schneider
+ * Lauris Kaplinski <lauris@ximian.com>
+ *
+ * Copyright (C) 1990 Philip J. Schneider
+ * Copyright (C) 2001 Lauris Kaplinski and Ximian, Inc.
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it either under the terms of the GNU Lesser General Public
+ * License version 2.1 as published by the Free Software Foundation
+ * (the "LGPL") or, at your option, under the terms of the Mozilla
+ * Public License Version 1.1 (the "MPL"). If you do not alter this
+ * notice, a recipient may use your version of this file under either
+ * the MPL or the LGPL.
+ *
+ * You should have received a copy of the LGPL along with this library
+ * in the file COPYING-LGPL-2.1; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * You should have received a copy of the MPL along with this library
+ * in the file COPYING-MPL-1.1
+ *
+ * The contents of this file are subject to the Mozilla Public License
+ * Version 1.1 (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.mozilla.org/MPL/
+ *
+ * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
+ * OF ANY KIND, either express or implied. See the LGPL or the MPL for
+ * the specific language governing rights and limitations.
+ *
+ */
+
+#ifndef LIB2GEOM_SEEN_BEZIER_UTILS_H
+#define LIB2GEOM_SEEN_BEZIER_UTILS_H
+
+#include <2geom/point.h>
+
+namespace Geom {
+
+Point bezier_pt(unsigned degree, Point const V[], double t);
+
+int bezier_fit_cubic(Point bezier[], Point const data[], int len, double error);
+
+int bezier_fit_cubic_r(Point bezier[], Point const data[], int len, double error,
+ unsigned max_beziers);
+
+int bezier_fit_cubic_full(Point bezier[], int split_points[], Point const data[], int len,
+ Point const &tHat1, Point const &tHat2,
+ double error, unsigned max_beziers);
+
+Point darray_left_tangent(Point const d[], unsigned const len);
+Point darray_left_tangent(Point const d[], unsigned const len, double const tolerance_sq);
+Point darray_right_tangent(Point const d[], unsigned const length, double const tolerance_sq);
+
+template <typename iterator>
+static void
+cubic_bezier_poly_coeff(iterator b, Point *pc) {
+ double c[10] = {1,
+ -3, 3,
+ 3, -6, 3,
+ -1, 3, -3, 1};
+
+ int cp = 0;
+
+ for(int i = 0; i < 4; i++) {
+ pc[i] = Point(0,0);
+ ++b;
+ }
+ for(int i = 0; i < 4; i++) {
+ --b;
+ for(int j = 0; j <= i; j++) {
+ pc[3 - j] += c[cp]*(*b);
+ cp++;
+ }
+ }
+}
+
+} // end namespace Geom
+
+#endif // LIB2GEOM_SEEN_BEZIER_UTILS_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:fileencoding=utf-8:textwidth=99 :