2010-05-12 01:44:00 +08:00
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/*M///////////////////////////////////////////////////////////////////////////////////////
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//
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// IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
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//
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// By downloading, copying, installing or using the software you agree to this license.
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// If you do not agree to this license, do not download, install,
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// copy or use the software.
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//
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//
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// Intel License Agreement
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// For Open Source Computer Vision Library
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//
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// Copyright (C) 2000, Intel Corporation, all rights reserved.
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// Third party copyrights are property of their respective owners.
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//
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// Redistribution and use in source and binary forms, with or without modification,
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// are permitted provided that the following conditions are met:
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//
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// * Redistribution's of source code must retain the above copyright notice,
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// this list of conditions and the following disclaimer.
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//
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// * Redistribution's in binary form must reproduce the above copyright notice,
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// this list of conditions and the following disclaimer in the documentation
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// and/or other materials provided with the distribution.
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//
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// * The name of Intel Corporation may not be used to endorse or promote products
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// derived from this software without specific prior written permission.
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//
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// This software is provided by the copyright holders and contributors "as is" and
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// any express or implied warranties, including, but not limited to, the implied
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// warranties of merchantability and fitness for a particular purpose are disclaimed.
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// In no event shall the Intel Corporation or contributors be liable for any direct,
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// indirect, incidental, special, exemplary, or consequential damages
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// (including, but not limited to, procurement of substitute goods or services;
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// loss of use, data, or profits; or business interruption) however caused
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// and on any theory of liability, whether in contract, strict liability,
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// or tort (including negligence or otherwise) arising in any way out of
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// the use of this software, even if advised of the possibility of such damage.
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//
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//M*/
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#include "precomp.hpp"
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2011-08-10 18:28:01 +08:00
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namespace cv
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{
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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int Subdiv2D::nextEdge(int edge) const
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{
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CV_DbgAssert((size_t)(edge >> 2) < qedges.size());
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return qedges[edge >> 2].next[edge & 3];
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}
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int Subdiv2D::rotateEdge(int edge, int rotate) const
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{
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return (edge & ~3) + ((edge + rotate) & 3);
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}
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int Subdiv2D::symEdge(int edge) const
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{
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return edge ^ 2;
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}
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int Subdiv2D::getEdge(int edge, int nextEdgeType) const
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{
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CV_DbgAssert((size_t)(edge >> 2) < qedges.size());
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edge = qedges[edge >> 2].next[(edge + nextEdgeType) & 3];
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return (edge & ~3) + ((edge + (nextEdgeType >> 4)) & 3);
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}
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int Subdiv2D::edgeOrg(int edge, CV_OUT Point2f* orgpt) const
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{
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CV_DbgAssert((size_t)(edge >> 2) < qedges.size());
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int vidx = qedges[edge >> 2].pt[edge & 3];
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if( orgpt )
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{
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CV_DbgAssert((size_t)vidx < vtx.size());
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*orgpt = vtx[vidx].pt;
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}
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return vidx;
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}
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int Subdiv2D::edgeDst(int edge, CV_OUT Point2f* dstpt) const
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{
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CV_DbgAssert((size_t)(edge >> 2) < qedges.size());
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int vidx = qedges[edge >> 2].pt[(edge + 2) & 3];
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if( dstpt )
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{
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CV_DbgAssert((size_t)vidx < vtx.size());
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*dstpt = vtx[vidx].pt;
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}
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return vidx;
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}
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Point2f Subdiv2D::getVertex(int vertex, CV_OUT int* firstEdge) const
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{
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CV_DbgAssert((size_t)vertex < vtx.size());
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if( firstEdge )
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*firstEdge = vtx[vertex].firstEdge;
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return vtx[vertex].pt;
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}
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Subdiv2D::Subdiv2D()
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{
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validGeometry = false;
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freeQEdge = 0;
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freePoint = 0;
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recentEdge = 0;
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}
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Subdiv2D::Subdiv2D(Rect rect)
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{
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validGeometry = false;
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freeQEdge = 0;
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freePoint = 0;
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recentEdge = 0;
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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initDelaunay(rect);
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}
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Subdiv2D::QuadEdge::QuadEdge()
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{
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next[0] = next[1] = next[2] = next[3] = 0;
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pt[0] = pt[1] = pt[2] = pt[3] = 0;
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}
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Subdiv2D::QuadEdge::QuadEdge(int edgeidx)
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{
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CV_DbgAssert((edgeidx & 3) == 0);
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next[0] = edgeidx;
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next[1] = edgeidx+3;
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next[2] = edgeidx+2;
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next[3] = edgeidx+1;
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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pt[0] = pt[1] = pt[2] = pt[3] = 0;
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}
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bool Subdiv2D::QuadEdge::isfree() const
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{
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return next[0] <= 0;
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}
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Subdiv2D::Vertex::Vertex()
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{
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firstEdge = 0;
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type = -1;
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}
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Subdiv2D::Vertex::Vertex(Point2f _pt, bool _isvirtual, int _firstEdge)
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{
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firstEdge = _firstEdge;
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type = (int)_isvirtual;
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pt = _pt;
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}
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bool Subdiv2D::Vertex::isvirtual() const
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{
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return type > 0;
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}
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bool Subdiv2D::Vertex::isfree() const
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{
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return type < 0;
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}
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void Subdiv2D::splice( int edgeA, int edgeB )
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{
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int& a_next = qedges[edgeA >> 2].next[edgeA & 3];
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int& b_next = qedges[edgeB >> 2].next[edgeB & 3];
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int a_rot = rotateEdge(a_next, 1);
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int b_rot = rotateEdge(b_next, 1);
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int& a_rot_next = qedges[a_rot >> 2].next[a_rot & 3];
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int& b_rot_next = qedges[b_rot >> 2].next[b_rot & 3];
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std::swap(a_next, b_next);
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std::swap(a_rot_next, b_rot_next);
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}
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void Subdiv2D::setEdgePoints(int edge, int orgPt, int dstPt)
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{
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qedges[edge >> 2].pt[edge & 3] = orgPt;
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qedges[edge >> 2].pt[(edge + 2) & 3] = dstPt;
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vtx[orgPt].firstEdge = edge;
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vtx[dstPt].firstEdge = edge ^ 2;
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}
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int Subdiv2D::connectEdges( int edgeA, int edgeB )
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{
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int edge = newEdge();
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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splice(edge, getEdge(edgeA, NEXT_AROUND_LEFT));
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splice(symEdge(edge), edgeB);
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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setEdgePoints(edge, edgeDst(edgeA), edgeOrg(edgeB));
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return edge;
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}
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void Subdiv2D::swapEdges( int edge )
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{
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int sedge = symEdge(edge);
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int a = getEdge(edge, PREV_AROUND_ORG);
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int b = getEdge(sedge, PREV_AROUND_ORG);
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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splice(edge, a);
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splice(sedge, b);
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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setEdgePoints(edge, edgeDst(a), edgeDst(b));
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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splice(edge, getEdge(a, NEXT_AROUND_LEFT));
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splice(sedge, getEdge(b, NEXT_AROUND_LEFT));
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}
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2012-03-30 20:19:25 +08:00
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static double triangleArea( Point2f a, Point2f b, Point2f c )
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{
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return ((double)b.x - a.x) * ((double)c.y - a.y) - ((double)b.y - a.y) * ((double)c.x - a.x);
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2012-10-17 15:12:04 +08:00
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}
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2011-08-10 18:28:01 +08:00
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int Subdiv2D::isRightOf(Point2f pt, int edge) const
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{
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Point2f org, dst;
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edgeOrg(edge, &org);
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edgeDst(edge, &dst);
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2012-03-30 20:19:25 +08:00
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double cw_area = triangleArea( pt, dst, org );
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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return (cw_area > 0) - (cw_area < 0);
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}
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int Subdiv2D::newEdge()
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{
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if( freeQEdge <= 0 )
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{
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qedges.push_back(QuadEdge());
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freeQEdge = (int)(qedges.size()-1);
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}
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int edge = freeQEdge*4;
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freeQEdge = qedges[edge >> 2].next[1];
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qedges[edge >> 2] = QuadEdge(edge);
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return edge;
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}
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void Subdiv2D::deleteEdge(int edge)
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{
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CV_DbgAssert((size_t)(edge >> 2) < (size_t)qedges.size());
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splice( edge, getEdge(edge, PREV_AROUND_ORG) );
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int sedge = symEdge(edge);
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splice(sedge, getEdge(sedge, PREV_AROUND_ORG) );
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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edge >>= 2;
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qedges[edge].next[0] = 0;
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qedges[edge].next[1] = freeQEdge;
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freeQEdge = edge;
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}
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int Subdiv2D::newPoint(Point2f pt, bool isvirtual, int firstEdge)
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{
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if( freePoint == 0 )
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{
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vtx.push_back(Vertex());
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freePoint = (int)(vtx.size()-1);
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}
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int vidx = freePoint;
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freePoint = vtx[vidx].firstEdge;
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vtx[vidx] = Vertex(pt, isvirtual, firstEdge);
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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return vidx;
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}
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void Subdiv2D::deletePoint(int vidx)
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{
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CV_DbgAssert( (size_t)vidx < vtx.size() );
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vtx[vidx].firstEdge = freePoint;
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vtx[vidx].type = -1;
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freePoint = vidx;
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}
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int Subdiv2D::locate(Point2f pt, int& _edge, int& _vertex)
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{
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2018-09-14 05:35:26 +08:00
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CV_INSTRUMENT_REGION();
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2016-08-18 14:53:00 +08:00
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2011-08-10 18:28:01 +08:00
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int vertex = 0;
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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int i, maxEdges = (int)(qedges.size() * 4);
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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if( qedges.size() < (size_t)4 )
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CV_Error( CV_StsError, "Subdivision is empty" );
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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if( pt.x < topLeft.x || pt.y < topLeft.y || pt.x >= bottomRight.x || pt.y >= bottomRight.y )
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CV_Error( CV_StsOutOfRange, "" );
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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int edge = recentEdge;
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CV_Assert(edge > 0);
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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int location = PTLOC_ERROR;
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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int right_of_curr = isRightOf(pt, edge);
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if( right_of_curr > 0 )
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{
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edge = symEdge(edge);
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right_of_curr = -right_of_curr;
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}
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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for( i = 0; i < maxEdges; i++ )
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{
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int onext_edge = nextEdge( edge );
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int dprev_edge = getEdge( edge, PREV_AROUND_DST );
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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int right_of_onext = isRightOf( pt, onext_edge );
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int right_of_dprev = isRightOf( pt, dprev_edge );
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2012-10-17 15:12:04 +08:00
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2011-08-10 18:28:01 +08:00
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if( right_of_dprev > 0 )
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{
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if( right_of_onext > 0 || (right_of_onext == 0 && right_of_curr == 0) )
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{
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location = PTLOC_INSIDE;
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break;
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}
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else
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{
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right_of_curr = right_of_onext;
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edge = onext_edge;
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}
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}
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else
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{
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if( right_of_onext > 0 )
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{
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if( right_of_dprev == 0 && right_of_curr == 0 )
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{
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location = PTLOC_INSIDE;
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break;
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}
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else
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{
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right_of_curr = right_of_dprev;
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edge = dprev_edge;
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}
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}
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else if( right_of_curr == 0 &&
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isRightOf( vtx[edgeDst(onext_edge)].pt, edge ) >= 0 )
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{
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edge = symEdge( edge );
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}
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else
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|
{
|
|
|
|
right_of_curr = right_of_onext;
|
|
|
|
edge = onext_edge;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
recentEdge = edge;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( location == PTLOC_INSIDE )
|
|
|
|
{
|
|
|
|
Point2f org_pt, dst_pt;
|
|
|
|
edgeOrg(edge, &org_pt);
|
|
|
|
edgeDst(edge, &dst_pt);
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
double t1 = fabs( pt.x - org_pt.x );
|
|
|
|
t1 += fabs( pt.y - org_pt.y );
|
|
|
|
double t2 = fabs( pt.x - dst_pt.x );
|
|
|
|
t2 += fabs( pt.y - dst_pt.y );
|
|
|
|
double t3 = fabs( org_pt.x - dst_pt.x );
|
|
|
|
t3 += fabs( org_pt.y - dst_pt.y );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( t1 < FLT_EPSILON )
|
|
|
|
{
|
|
|
|
location = PTLOC_VERTEX;
|
|
|
|
vertex = edgeOrg( edge );
|
|
|
|
edge = 0;
|
|
|
|
}
|
|
|
|
else if( t2 < FLT_EPSILON )
|
|
|
|
{
|
|
|
|
location = PTLOC_VERTEX;
|
|
|
|
vertex = edgeDst( edge );
|
|
|
|
edge = 0;
|
|
|
|
}
|
|
|
|
else if( (t1 < t3 || t2 < t3) &&
|
2012-03-30 20:19:25 +08:00
|
|
|
fabs( triangleArea( pt, org_pt, dst_pt )) < FLT_EPSILON )
|
2011-08-10 18:28:01 +08:00
|
|
|
{
|
|
|
|
location = PTLOC_ON_EDGE;
|
|
|
|
vertex = 0;
|
|
|
|
}
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( location == PTLOC_ERROR )
|
|
|
|
{
|
|
|
|
edge = 0;
|
|
|
|
vertex = 0;
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
_edge = edge;
|
|
|
|
_vertex = vertex;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
return location;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
inline int
|
|
|
|
isPtInCircle3( Point2f pt, Point2f a, Point2f b, Point2f c)
|
|
|
|
{
|
|
|
|
const double eps = FLT_EPSILON*0.125;
|
2012-03-30 20:19:25 +08:00
|
|
|
double val = ((double)a.x * a.x + (double)a.y * a.y) * triangleArea( b, c, pt );
|
|
|
|
val -= ((double)b.x * b.x + (double)b.y * b.y) * triangleArea( a, c, pt );
|
|
|
|
val += ((double)c.x * c.x + (double)c.y * c.y) * triangleArea( a, b, pt );
|
|
|
|
val -= ((double)pt.x * pt.x + (double)pt.y * pt.y) * triangleArea( a, b, c );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
return val > eps ? 1 : val < -eps ? -1 : 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
int Subdiv2D::insert(Point2f pt)
|
|
|
|
{
|
2018-09-14 05:35:26 +08:00
|
|
|
CV_INSTRUMENT_REGION();
|
2016-08-18 14:53:00 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
int curr_point = 0, curr_edge = 0, deleted_edge = 0;
|
|
|
|
int location = locate( pt, curr_edge, curr_point );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( location == PTLOC_ERROR )
|
|
|
|
CV_Error( CV_StsBadSize, "" );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( location == PTLOC_OUTSIDE_RECT )
|
|
|
|
CV_Error( CV_StsOutOfRange, "" );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( location == PTLOC_VERTEX )
|
|
|
|
return curr_point;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( location == PTLOC_ON_EDGE )
|
|
|
|
{
|
|
|
|
deleted_edge = curr_edge;
|
|
|
|
recentEdge = curr_edge = getEdge( curr_edge, PREV_AROUND_ORG );
|
|
|
|
deleteEdge(deleted_edge);
|
|
|
|
}
|
|
|
|
else if( location == PTLOC_INSIDE )
|
|
|
|
;
|
|
|
|
else
|
|
|
|
CV_Error_(CV_StsError, ("Subdiv2D::locate returned invalid location = %d", location) );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
assert( curr_edge != 0 );
|
|
|
|
validGeometry = false;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
curr_point = newPoint(pt, false);
|
|
|
|
int base_edge = newEdge();
|
|
|
|
int first_point = edgeOrg(curr_edge);
|
|
|
|
setEdgePoints(base_edge, first_point, curr_point);
|
|
|
|
splice(base_edge, curr_edge);
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
do
|
|
|
|
{
|
|
|
|
base_edge = connectEdges( curr_edge, symEdge(base_edge) );
|
|
|
|
curr_edge = getEdge(base_edge, PREV_AROUND_ORG);
|
|
|
|
}
|
|
|
|
while( edgeDst(curr_edge) != first_point );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
curr_edge = getEdge( base_edge, PREV_AROUND_ORG );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
int i, max_edges = (int)(qedges.size()*4);
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for( i = 0; i < max_edges; i++ )
|
|
|
|
{
|
|
|
|
int temp_dst = 0, curr_org = 0, curr_dst = 0;
|
|
|
|
int temp_edge = getEdge( curr_edge, PREV_AROUND_ORG );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
temp_dst = edgeDst( temp_edge );
|
|
|
|
curr_org = edgeOrg( curr_edge );
|
|
|
|
curr_dst = edgeDst( curr_edge );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( isRightOf( vtx[temp_dst].pt, curr_edge ) > 0 &&
|
|
|
|
isPtInCircle3( vtx[curr_org].pt, vtx[temp_dst].pt,
|
|
|
|
vtx[curr_dst].pt, vtx[curr_point].pt ) < 0 )
|
|
|
|
{
|
|
|
|
swapEdges( curr_edge );
|
|
|
|
curr_edge = getEdge( curr_edge, PREV_AROUND_ORG );
|
|
|
|
}
|
|
|
|
else if( curr_org == first_point )
|
|
|
|
break;
|
|
|
|
else
|
|
|
|
curr_edge = getEdge( nextEdge( curr_edge ), PREV_AROUND_LEFT );
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
return curr_point;
|
|
|
|
}
|
|
|
|
|
2013-02-25 00:14:01 +08:00
|
|
|
void Subdiv2D::insert(const std::vector<Point2f>& ptvec)
|
2011-08-10 18:28:01 +08:00
|
|
|
{
|
2018-09-14 05:35:26 +08:00
|
|
|
CV_INSTRUMENT_REGION();
|
2016-08-18 14:53:00 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for( size_t i = 0; i < ptvec.size(); i++ )
|
|
|
|
insert(ptvec[i]);
|
|
|
|
}
|
|
|
|
|
|
|
|
void Subdiv2D::initDelaunay( Rect rect )
|
|
|
|
{
|
2018-09-14 05:35:26 +08:00
|
|
|
CV_INSTRUMENT_REGION();
|
2016-08-18 14:53:00 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
float big_coord = 3.f * MAX( rect.width, rect.height );
|
|
|
|
float rx = (float)rect.x;
|
|
|
|
float ry = (float)rect.y;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
vtx.clear();
|
|
|
|
qedges.clear();
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
recentEdge = 0;
|
|
|
|
validGeometry = false;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
topLeft = Point2f( rx, ry );
|
|
|
|
bottomRight = Point2f( rx + rect.width, ry + rect.height );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
Point2f ppA( rx + big_coord, ry );
|
|
|
|
Point2f ppB( rx, ry + big_coord );
|
|
|
|
Point2f ppC( rx - big_coord, ry - big_coord );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
vtx.push_back(Vertex());
|
|
|
|
qedges.push_back(QuadEdge());
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
freeQEdge = 0;
|
|
|
|
freePoint = 0;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
int pA = newPoint(ppA, false);
|
|
|
|
int pB = newPoint(ppB, false);
|
|
|
|
int pC = newPoint(ppC, false);
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
int edge_AB = newEdge();
|
|
|
|
int edge_BC = newEdge();
|
|
|
|
int edge_CA = newEdge();
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
setEdgePoints( edge_AB, pA, pB );
|
|
|
|
setEdgePoints( edge_BC, pB, pC );
|
|
|
|
setEdgePoints( edge_CA, pC, pA );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
splice( edge_AB, symEdge( edge_CA ));
|
|
|
|
splice( edge_BC, symEdge( edge_AB ));
|
|
|
|
splice( edge_CA, symEdge( edge_BC ));
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
recentEdge = edge_AB;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void Subdiv2D::clearVoronoi()
|
|
|
|
{
|
|
|
|
size_t i, total = qedges.size();
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for( i = 0; i < total; i++ )
|
|
|
|
qedges[i].pt[1] = qedges[i].pt[3] = 0;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
total = vtx.size();
|
|
|
|
for( i = 0; i < total; i++ )
|
|
|
|
{
|
|
|
|
if( vtx[i].isvirtual() )
|
|
|
|
deletePoint((int)i);
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
validGeometry = false;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static Point2f computeVoronoiPoint(Point2f org0, Point2f dst0, Point2f org1, Point2f dst1)
|
|
|
|
{
|
|
|
|
double a0 = dst0.x - org0.x;
|
|
|
|
double b0 = dst0.y - org0.y;
|
|
|
|
double c0 = -0.5*(a0 * (dst0.x + org0.x) + b0 * (dst0.y + org0.y));
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
double a1 = dst1.x - org1.x;
|
|
|
|
double b1 = dst1.y - org1.y;
|
|
|
|
double c1 = -0.5*(a1 * (dst1.x + org1.x) + b1 * (dst1.y + org1.y));
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
double det = a0 * b1 - a1 * b0;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( det != 0 )
|
|
|
|
{
|
|
|
|
det = 1. / det;
|
|
|
|
return Point2f((float) ((b0 * c1 - b1 * c0) * det),
|
|
|
|
(float) ((a1 * c0 - a0 * c1) * det));
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
return Point2f(FLT_MAX, FLT_MAX);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void Subdiv2D::calcVoronoi()
|
|
|
|
{
|
|
|
|
// check if it is already calculated
|
|
|
|
if( validGeometry )
|
|
|
|
return;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
clearVoronoi();
|
|
|
|
int i, total = (int)qedges.size();
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
// loop through all quad-edges, except for the first 3 (#1, #2, #3 - 0 is reserved for "NULL" pointer)
|
|
|
|
for( i = 4; i < total; i++ )
|
|
|
|
{
|
|
|
|
QuadEdge& quadedge = qedges[i];
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( quadedge.isfree() )
|
|
|
|
continue;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
int edge0 = (int)(i*4);
|
|
|
|
Point2f org0, dst0, org1, dst1;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( !quadedge.pt[3] )
|
|
|
|
{
|
|
|
|
int edge1 = getEdge( edge0, NEXT_AROUND_LEFT );
|
|
|
|
int edge2 = getEdge( edge1, NEXT_AROUND_LEFT );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
edgeOrg(edge0, &org0);
|
|
|
|
edgeDst(edge0, &dst0);
|
|
|
|
edgeOrg(edge1, &org1);
|
|
|
|
edgeDst(edge1, &dst1);
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
Point2f virt_point = computeVoronoiPoint(org0, dst0, org1, dst1);
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( fabs( virt_point.x ) < FLT_MAX * 0.5 &&
|
|
|
|
fabs( virt_point.y ) < FLT_MAX * 0.5 )
|
|
|
|
{
|
|
|
|
quadedge.pt[3] = qedges[edge1 >> 2].pt[3 - (edge1 & 2)] =
|
|
|
|
qedges[edge2 >> 2].pt[3 - (edge2 & 2)] = newPoint(virt_point, true);
|
|
|
|
}
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( !quadedge.pt[1] )
|
|
|
|
{
|
|
|
|
int edge1 = getEdge( edge0, NEXT_AROUND_RIGHT );
|
|
|
|
int edge2 = getEdge( edge1, NEXT_AROUND_RIGHT );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
edgeOrg(edge0, &org0);
|
|
|
|
edgeDst(edge0, &dst0);
|
|
|
|
edgeOrg(edge1, &org1);
|
|
|
|
edgeDst(edge1, &dst1);
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
Point2f virt_point = computeVoronoiPoint(org0, dst0, org1, dst1);
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( fabs( virt_point.x ) < FLT_MAX * 0.5 &&
|
|
|
|
fabs( virt_point.y ) < FLT_MAX * 0.5 )
|
|
|
|
{
|
2012-10-17 15:12:04 +08:00
|
|
|
quadedge.pt[1] = qedges[edge1 >> 2].pt[1 + (edge1 & 2)] =
|
2011-08-10 18:28:01 +08:00
|
|
|
qedges[edge2 >> 2].pt[1 + (edge2 & 2)] = newPoint(virt_point, true);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
validGeometry = true;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static int
|
|
|
|
isRightOf2( const Point2f& pt, const Point2f& org, const Point2f& diff )
|
|
|
|
{
|
|
|
|
double cw_area = ((double)org.x - pt.x)*diff.y - ((double)org.y - pt.y)*diff.x;
|
|
|
|
return (cw_area > 0) - (cw_area < 0);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
int Subdiv2D::findNearest(Point2f pt, Point2f* nearestPt)
|
|
|
|
{
|
2018-09-14 05:35:26 +08:00
|
|
|
CV_INSTRUMENT_REGION();
|
2016-08-18 14:53:00 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( !validGeometry )
|
|
|
|
calcVoronoi();
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
int vertex = 0, edge = 0;
|
|
|
|
int loc = locate( pt, edge, vertex );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( loc != PTLOC_ON_EDGE && loc != PTLOC_INSIDE )
|
|
|
|
return vertex;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
vertex = 0;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
Point2f start;
|
|
|
|
edgeOrg(edge, &start);
|
|
|
|
Point2f diff = pt - start;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
edge = rotateEdge(edge, 1);
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
int i, total = (int)vtx.size();
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for( i = 0; i < total; i++ )
|
|
|
|
{
|
|
|
|
Point2f t;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for(;;)
|
|
|
|
{
|
|
|
|
CV_Assert( edgeDst(edge, &t) > 0 );
|
|
|
|
if( isRightOf2( t, start, diff ) >= 0 )
|
|
|
|
break;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
edge = getEdge( edge, NEXT_AROUND_LEFT );
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for(;;)
|
|
|
|
{
|
|
|
|
CV_Assert( edgeOrg( edge, &t ) > 0 );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( isRightOf2( t, start, diff ) < 0 )
|
|
|
|
break;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
edge = getEdge( edge, PREV_AROUND_LEFT );
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
Point2f tempDiff;
|
|
|
|
edgeDst(edge, &tempDiff);
|
|
|
|
edgeOrg(edge, &t);
|
|
|
|
tempDiff -= t;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( isRightOf2( pt, t, tempDiff ) >= 0 )
|
|
|
|
{
|
|
|
|
vertex = edgeOrg(rotateEdge( edge, 3 ));
|
|
|
|
break;
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
edge = symEdge( edge );
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( nearestPt && vertex > 0 )
|
|
|
|
*nearestPt = vtx[vertex].pt;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
return vertex;
|
|
|
|
}
|
|
|
|
|
2013-02-25 00:14:01 +08:00
|
|
|
void Subdiv2D::getEdgeList(std::vector<Vec4f>& edgeList) const
|
2011-08-10 18:28:01 +08:00
|
|
|
{
|
|
|
|
edgeList.clear();
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for( size_t i = 4; i < qedges.size(); i++ )
|
|
|
|
{
|
|
|
|
if( qedges[i].isfree() )
|
|
|
|
continue;
|
|
|
|
if( qedges[i].pt[0] > 0 && qedges[i].pt[2] > 0 )
|
|
|
|
{
|
|
|
|
Point2f org = vtx[qedges[i].pt[0]].pt;
|
|
|
|
Point2f dst = vtx[qedges[i].pt[2]].pt;
|
|
|
|
edgeList.push_back(Vec4f(org.x, org.y, dst.x, dst.y));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2016-10-07 09:01:34 +08:00
|
|
|
void Subdiv2D::getLeadingEdgeList(std::vector<int>& leadingEdgeList) const
|
|
|
|
{
|
|
|
|
leadingEdgeList.clear();
|
|
|
|
int i, total = (int)(qedges.size()*4);
|
|
|
|
std::vector<bool> edgemask(total, false);
|
|
|
|
|
|
|
|
for( i = 4; i < total; i += 2 )
|
|
|
|
{
|
|
|
|
if( edgemask[i] )
|
|
|
|
continue;
|
|
|
|
int edge = i;
|
|
|
|
edgemask[edge] = true;
|
|
|
|
edge = getEdge(edge, NEXT_AROUND_LEFT);
|
|
|
|
edgemask[edge] = true;
|
|
|
|
edge = getEdge(edge, NEXT_AROUND_LEFT);
|
|
|
|
edgemask[edge] = true;
|
|
|
|
leadingEdgeList.push_back(i);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2013-02-25 00:14:01 +08:00
|
|
|
void Subdiv2D::getTriangleList(std::vector<Vec6f>& triangleList) const
|
2011-08-10 18:28:01 +08:00
|
|
|
{
|
|
|
|
triangleList.clear();
|
|
|
|
int i, total = (int)(qedges.size()*4);
|
2013-02-25 00:14:01 +08:00
|
|
|
std::vector<bool> edgemask(total, false);
|
2018-09-05 21:16:53 +08:00
|
|
|
Rect2f rect(topLeft.x, topLeft.y, bottomRight.x - topLeft.x, bottomRight.y - topLeft.y);
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for( i = 4; i < total; i += 2 )
|
|
|
|
{
|
|
|
|
if( edgemask[i] )
|
|
|
|
continue;
|
|
|
|
Point2f a, b, c;
|
2018-09-05 21:16:53 +08:00
|
|
|
int edge_a = i;
|
|
|
|
edgeOrg(edge_a, &a);
|
2020-10-02 11:57:16 +08:00
|
|
|
if ( !rect.contains(a) )
|
2018-09-05 21:16:53 +08:00
|
|
|
continue;
|
|
|
|
int edge_b = getEdge(edge_a, NEXT_AROUND_LEFT);
|
|
|
|
edgeOrg(edge_b, &b);
|
2020-10-02 11:57:16 +08:00
|
|
|
if ( !rect.contains(b) )
|
2018-09-05 21:16:53 +08:00
|
|
|
continue;
|
|
|
|
int edge_c = getEdge(edge_b, NEXT_AROUND_LEFT);
|
|
|
|
edgeOrg(edge_c, &c);
|
2020-10-02 11:57:16 +08:00
|
|
|
if ( !rect.contains(c) )
|
2018-09-05 21:16:53 +08:00
|
|
|
continue;
|
|
|
|
edgemask[edge_a] = true;
|
|
|
|
edgemask[edge_b] = true;
|
|
|
|
edgemask[edge_c] = true;
|
|
|
|
triangleList.push_back(Vec6f(a.x, a.y, b.x, b.y, c.x, c.y));
|
2011-08-10 18:28:01 +08:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2013-02-25 00:14:01 +08:00
|
|
|
void Subdiv2D::getVoronoiFacetList(const std::vector<int>& idx,
|
|
|
|
CV_OUT std::vector<std::vector<Point2f> >& facetList,
|
|
|
|
CV_OUT std::vector<Point2f>& facetCenters)
|
2011-08-10 18:28:01 +08:00
|
|
|
{
|
|
|
|
calcVoronoi();
|
|
|
|
facetList.clear();
|
|
|
|
facetCenters.clear();
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2013-02-25 00:14:01 +08:00
|
|
|
std::vector<Point2f> buf;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
size_t i, total;
|
|
|
|
if( idx.empty() )
|
|
|
|
i = 4, total = vtx.size();
|
|
|
|
else
|
|
|
|
i = 0, total = idx.size();
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for( ; i < total; i++ )
|
|
|
|
{
|
|
|
|
int k = idx.empty() ? (int)i : idx[i];
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( vtx[k].isfree() || vtx[k].isvirtual() )
|
|
|
|
continue;
|
2012-10-17 15:12:04 +08:00
|
|
|
int edge = rotateEdge(vtx[k].firstEdge, 1), t = edge;
|
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
// gather points
|
|
|
|
buf.clear();
|
|
|
|
do
|
|
|
|
{
|
|
|
|
buf.push_back(vtx[edgeOrg(t)].pt);
|
|
|
|
t = getEdge( t, NEXT_AROUND_LEFT );
|
|
|
|
}
|
|
|
|
while( t != edge );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
facetList.push_back(buf);
|
|
|
|
facetCenters.push_back(vtx[k].pt);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
2011-09-27 23:34:39 +08:00
|
|
|
void Subdiv2D::checkSubdiv() const
|
2011-08-10 18:28:01 +08:00
|
|
|
{
|
|
|
|
int i, j, total = (int)qedges.size();
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for( i = 0; i < total; i++ )
|
|
|
|
{
|
|
|
|
const QuadEdge& qe = qedges[i];
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( qe.isfree() )
|
|
|
|
continue;
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
for( j = 0; j < 4; j++ )
|
|
|
|
{
|
|
|
|
int e = (int)(i*4 + j);
|
|
|
|
int o_next = nextEdge(e);
|
|
|
|
int o_prev = getEdge(e, PREV_AROUND_ORG );
|
|
|
|
int d_prev = getEdge(e, PREV_AROUND_DST );
|
|
|
|
int d_next = getEdge(e, NEXT_AROUND_DST );
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
// check points
|
|
|
|
CV_Assert( edgeOrg(e) == edgeOrg(o_next));
|
|
|
|
CV_Assert( edgeOrg(e) == edgeOrg(o_prev));
|
|
|
|
CV_Assert( edgeDst(e) == edgeDst(d_next));
|
|
|
|
CV_Assert( edgeDst(e) == edgeDst(d_prev));
|
2012-10-17 15:12:04 +08:00
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
if( j % 2 == 0 )
|
|
|
|
{
|
|
|
|
CV_Assert( edgeDst(o_next) == edgeOrg(d_prev));
|
|
|
|
CV_Assert( edgeDst(o_prev) == edgeOrg(d_next));
|
|
|
|
CV_Assert( getEdge(getEdge(getEdge(e,NEXT_AROUND_LEFT),NEXT_AROUND_LEFT),NEXT_AROUND_LEFT) == e );
|
|
|
|
CV_Assert( getEdge(getEdge(getEdge(e,NEXT_AROUND_RIGHT),NEXT_AROUND_RIGHT),NEXT_AROUND_RIGHT) == e);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
2012-10-17 15:12:04 +08:00
|
|
|
}
|
|
|
|
|
2011-08-10 18:28:01 +08:00
|
|
|
}
|
|
|
|
|
2010-05-12 01:44:00 +08:00
|
|
|
/* End of file. */
|