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@ -1,828 +1,7 @@ |
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#include <opencv2/opencv.hpp> |
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#include <opencv2/imgproc/imgproc.hpp> |
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#include <opencv2/highgui/highgui.hpp> |
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#include <iostream> |
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namespace cv |
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{ |
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class CV_EXPORTS_W Subdiv2D |
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{ |
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public: |
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enum
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{ |
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PTLOC_ERROR = -2, |
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PTLOC_OUTSIDE_RECT = -1, |
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PTLOC_INSIDE = 0, |
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PTLOC_VERTEX = 1, |
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PTLOC_ON_EDGE = 2 |
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}; |
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enum
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{ |
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NEXT_AROUND_ORG = 0x00, |
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NEXT_AROUND_DST = 0x22, |
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PREV_AROUND_ORG = 0x11, |
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PREV_AROUND_DST = 0x33, |
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NEXT_AROUND_LEFT = 0x13, |
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NEXT_AROUND_RIGHT = 0x31, |
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PREV_AROUND_LEFT = 0x20, |
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PREV_AROUND_RIGHT = 0x02 |
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}; |
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CV_WRAP Subdiv2D(); |
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CV_WRAP Subdiv2D(Rect rect); |
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CV_WRAP void initDelaunay(Rect rect); |
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CV_WRAP int insert(Point2f pt); |
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CV_WRAP void insert(const vector<Point2f>& ptvec); |
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CV_WRAP int locate(Point2f pt, CV_OUT int& edge, CV_OUT int& vertex); |
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CV_WRAP int findNearest(Point2f pt, CV_OUT Point2f* nearestPt=0); |
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CV_WRAP void getTriangleList(CV_OUT vector<Vec6f>& triangleList); |
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CV_WRAP void getVoronoiFacetList(const vector<int>& idx, CV_OUT vector<vector<Point2f> >& facetList); |
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CV_WRAP Point2f getVertex(int vertex, CV_OUT int* firstEdge=0) const; |
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CV_WRAP int getEdge( int edge, int nextEdgeType ) const; |
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CV_WRAP int nextEdge(int edge) const; |
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CV_WRAP int rotateEdge(int edge, int rotate) const; |
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CV_WRAP int symEdge(int edge) const; |
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CV_WRAP int edgeOrg(int edge, CV_OUT Point2f* orgpt=0) const; |
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CV_WRAP int edgeDst(int edge, CV_OUT Point2f* dstpt=0) const; |
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protected: |
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int newEdge(); |
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void deleteEdge(int edge); |
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int newPoint(Point2f pt, bool isvirtual, int firstEdge=0); |
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void deletePoint(int vtx); |
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void setEdgePoints( int edge, int orgPt, int dstPt ); |
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void splice( int edgeA, int edgeB ); |
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int connectEdges( int edgeA, int edgeB ); |
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void swapEdges( int edge ); |
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int isRightOf(Point2f pt, int edge) const; |
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void calcVoronoi(); |
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void clearVoronoi(); |
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struct CV_EXPORTS Vertex |
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{ |
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Vertex(); |
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Vertex(Point2f pt, bool _isvirtual, int _firstEdge=0); |
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bool isvirtual() const; |
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bool isfree() const; |
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int firstEdge; |
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int type; |
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Point2f pt; |
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}; |
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struct CV_EXPORTS QuadEdge |
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{ |
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QuadEdge(); |
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QuadEdge(int edgeidx); |
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bool isfree() const; |
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int next[4]; |
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int pt[4]; |
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}; |
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vector<Vertex> vtx; |
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vector<QuadEdge> qedges; |
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int freeQEdge; |
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int freePoint; |
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bool validGeometry; |
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int recentEdge; |
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Point2f topLeft; |
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Point2f bottomRight; |
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}; |
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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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CV_DbgAssert((size_t)(edge >> 2) < qedges.size()); |
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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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CV_DbgAssert((size_t)(edge >> 2) < qedges.size()); |
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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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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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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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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 firstEdge <= 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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} |
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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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splice(edge, getEdge(edgeA, NEXT_AROUND_LEFT)); |
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splice(symEdge(edge), edgeB); |
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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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splice(edge, a); |
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splice(sedge, b); |
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setEdgePoints(edge, edgeDst(a), edgeDst(b)); |
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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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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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double cw_area = cvTriangleArea( pt, dst, org ); |
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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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edge >>= 2; |
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qedges[edge].next[0] = -1; |
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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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vtx[freePoint].type = -1; |
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vtx[freePoint].firstEdge = 0; |
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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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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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int vertex = 0; |
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int i, maxEdges = (int)(qedges.size() * 4); |
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int edge = recentEdge; |
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CV_Assert(edge > 0); |
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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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int location = PTLOC_ERROR; |
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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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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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int right_of_onext = isRightOf( pt, onext_edge ); |
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int right_of_dprev = isRightOf( pt, dprev_edge ); |
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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) ) |
|
|
|
|
{ |
|
|
|
|
location = PTLOC_INSIDE; |
|
|
|
|
break; |
|
|
|
|
} |
|
|
|
|
else |
|
|
|
|
{ |
|
|
|
|
right_of_curr = right_of_onext; |
|
|
|
|
edge = onext_edge; |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
else |
|
|
|
|
{ |
|
|
|
|
if( right_of_onext > 0 ) |
|
|
|
|
{ |
|
|
|
|
if( right_of_dprev == 0 && right_of_curr == 0 ) |
|
|
|
|
{ |
|
|
|
|
location = PTLOC_INSIDE; |
|
|
|
|
break; |
|
|
|
|
} |
|
|
|
|
else |
|
|
|
|
{ |
|
|
|
|
right_of_curr = right_of_dprev; |
|
|
|
|
edge = dprev_edge; |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
else if( right_of_curr == 0 && |
|
|
|
|
isRightOf( vtx[edgeDst(onext_edge)].pt, edge ) >= 0 ) |
|
|
|
|
{ |
|
|
|
|
edge = symEdge( edge ); |
|
|
|
|
} |
|
|
|
|
else |
|
|
|
|
{ |
|
|
|
|
right_of_curr = right_of_onext; |
|
|
|
|
edge = onext_edge; |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
recentEdge = edge; |
|
|
|
|
|
|
|
|
|
if( location == PTLOC_INSIDE ) |
|
|
|
|
{ |
|
|
|
|
Point2f org_pt, dst_pt; |
|
|
|
|
edgeOrg(edge, &org_pt); |
|
|
|
|
edgeDst(edge, &dst_pt); |
|
|
|
|
|
|
|
|
|
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 ); |
|
|
|
|
|
|
|
|
|
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) && |
|
|
|
|
fabs( cvTriangleArea( pt, org_pt, dst_pt )) < FLT_EPSILON ) |
|
|
|
|
{ |
|
|
|
|
location = PTLOC_ON_EDGE; |
|
|
|
|
vertex = 0; |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
if( location == PTLOC_ERROR ) |
|
|
|
|
{ |
|
|
|
|
edge = 0; |
|
|
|
|
vertex = 0; |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
_edge = edge; |
|
|
|
|
_vertex = vertex; |
|
|
|
|
|
|
|
|
|
return location; |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
inline bool |
|
|
|
|
isPtInCircle3( Point2f pt, Point2f a, Point2f b, Point2f c) |
|
|
|
|
{ |
|
|
|
|
const double eps = FLT_EPSILON*0.125; |
|
|
|
|
double val = ((double)a.x * a.x + (double)a.y * a.y) * cvTriangleArea( b, c, pt ); |
|
|
|
|
val -= ((double)b.x * b.x + (double)b.y * b.y) * cvTriangleArea( a, c, pt ); |
|
|
|
|
val += ((double)c.x * c.x + (double)c.y * c.y) * cvTriangleArea( a, b, pt ); |
|
|
|
|
val -= ((double)pt.x * pt.x + (double)pt.y * pt.y) * cvTriangleArea( a, b, c ); |
|
|
|
|
|
|
|
|
|
return val > eps ? 1 : val < -eps ? -1 : 0; |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
int Subdiv2D::insert(Point2f pt) |
|
|
|
|
{ |
|
|
|
|
int curr_point = 0, curr_edge = 0, deleted_edge = 0; |
|
|
|
|
int location = locate( pt, curr_edge, curr_point ); |
|
|
|
|
|
|
|
|
|
if( location == PTLOC_ERROR ) |
|
|
|
|
CV_Error( CV_StsBadSize, "" ); |
|
|
|
|
|
|
|
|
|
if( location == PTLOC_OUTSIDE_RECT ) |
|
|
|
|
CV_Error( CV_StsOutOfRange, "" ); |
|
|
|
|
|
|
|
|
|
if( location == PTLOC_VERTEX ) |
|
|
|
|
return curr_point; |
|
|
|
|
|
|
|
|
|
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) ); |
|
|
|
|
|
|
|
|
|
assert( curr_edge != 0 ); |
|
|
|
|
validGeometry = false; |
|
|
|
|
|
|
|
|
|
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); |
|
|
|
|
|
|
|
|
|
do |
|
|
|
|
{ |
|
|
|
|
base_edge = connectEdges( curr_edge, symEdge(base_edge) ); |
|
|
|
|
curr_edge = getEdge(base_edge, PREV_AROUND_ORG); |
|
|
|
|
} |
|
|
|
|
while( edgeDst(curr_edge) != first_point ); |
|
|
|
|
|
|
|
|
|
curr_edge = getEdge( base_edge, PREV_AROUND_ORG ); |
|
|
|
|
|
|
|
|
|
int i, max_edges = qedges.size()*4; |
|
|
|
|
|
|
|
|
|
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 ); |
|
|
|
|
|
|
|
|
|
temp_dst = edgeDst( temp_edge ); |
|
|
|
|
curr_org = edgeOrg( curr_edge ); |
|
|
|
|
curr_dst = edgeDst( curr_edge ); |
|
|
|
|
|
|
|
|
|
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 ); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
return curr_point; |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
void Subdiv2D::insert(const vector<Point2f>& ptvec) |
|
|
|
|
{ |
|
|
|
|
for( size_t i = 0; i < ptvec.size(); i++ ) |
|
|
|
|
insert(ptvec[i]); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
void Subdiv2D::initDelaunay( Rect rect ) |
|
|
|
|
{ |
|
|
|
|
float big_coord = 3.f * MAX( rect.width, rect.height ); |
|
|
|
|
float rx = (float)rect.x; |
|
|
|
|
float ry = (float)rect.y; |
|
|
|
|
|
|
|
|
|
vtx.clear(); |
|
|
|
|
qedges.clear(); |
|
|
|
|
|
|
|
|
|
recentEdge = 0; |
|
|
|
|
validGeometry = false; |
|
|
|
|
|
|
|
|
|
topLeft = Point2f( rx, ry ); |
|
|
|
|
bottomRight = Point2f( rx + rect.width, ry + rect.height ); |
|
|
|
|
|
|
|
|
|
Point2f ppA( rx + big_coord, ry ); |
|
|
|
|
Point2f ppB( rx, ry + big_coord ); |
|
|
|
|
Point2f ppC( rx - big_coord, ry - big_coord ); |
|
|
|
|
|
|
|
|
|
vtx.push_back(Vertex()); |
|
|
|
|
qedges.push_back(QuadEdge()); |
|
|
|
|
|
|
|
|
|
freeQEdge = 0; |
|
|
|
|
freePoint = 0; |
|
|
|
|
|
|
|
|
|
int pA = newPoint(ppA, false); |
|
|
|
|
int pB = newPoint(ppB, false); |
|
|
|
|
int pC = newPoint(ppC, false); |
|
|
|
|
|
|
|
|
|
int edge_AB = newEdge(); |
|
|
|
|
int edge_BC = newEdge(); |
|
|
|
|
int edge_CA = newEdge(); |
|
|
|
|
|
|
|
|
|
setEdgePoints( edge_AB, pA, pB ); |
|
|
|
|
setEdgePoints( edge_BC, pB, pC ); |
|
|
|
|
setEdgePoints( edge_CA, pC, pA ); |
|
|
|
|
|
|
|
|
|
splice( edge_AB, symEdge( edge_CA )); |
|
|
|
|
splice( edge_BC, symEdge( edge_AB )); |
|
|
|
|
splice( edge_CA, symEdge( edge_BC )); |
|
|
|
|
|
|
|
|
|
recentEdge = edge_AB; |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
void Subdiv2D::clearVoronoi() |
|
|
|
|
{ |
|
|
|
|
size_t i, total = qedges.size(); |
|
|
|
|
|
|
|
|
|
for( i = 0; i < total; i++ ) |
|
|
|
|
qedges[i].pt[1] = qedges[i].pt[3] = 0; |
|
|
|
|
|
|
|
|
|
total = vtx.size(); |
|
|
|
|
for( i = 0; i < total; i++ ) |
|
|
|
|
{ |
|
|
|
|
if( vtx[i].isvirtual() ) |
|
|
|
|
deletePoint((int)i); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
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)); |
|
|
|
|
|
|
|
|
|
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)); |
|
|
|
|
|
|
|
|
|
double det = a0 * b1 - a1 * b0; |
|
|
|
|
|
|
|
|
|
if( det != 0 ) |
|
|
|
|
{ |
|
|
|
|
det = 1. / det; |
|
|
|
|
return Point2f((float) ((b0 * c1 - b1 * c0) * det), |
|
|
|
|
(float) ((a1 * c0 - a0 * c1) * det)); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
return Point2f(FLT_MAX, FLT_MAX); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
void Subdiv2D::calcVoronoi() |
|
|
|
|
{ |
|
|
|
|
// check if it is already calculated
|
|
|
|
|
if( validGeometry ) |
|
|
|
|
return; |
|
|
|
|
|
|
|
|
|
clearVoronoi(); |
|
|
|
|
int i, total = (int)qedges.size(); |
|
|
|
|
|
|
|
|
|
// 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]; |
|
|
|
|
|
|
|
|
|
if( quadedge.isfree() ) |
|
|
|
|
continue; |
|
|
|
|
|
|
|
|
|
int edge0 = (int)(i*4); |
|
|
|
|
Point2f org0, dst0, org1, dst1; |
|
|
|
|
|
|
|
|
|
if( !quadedge.pt[3] ) |
|
|
|
|
{ |
|
|
|
|
int edge1 = getEdge( edge0, NEXT_AROUND_LEFT ); |
|
|
|
|
int edge2 = getEdge( edge1, NEXT_AROUND_LEFT ); |
|
|
|
|
|
|
|
|
|
edgeOrg(edge0, &org0); |
|
|
|
|
edgeDst(edge0, &dst0); |
|
|
|
|
edgeOrg(edge1, &org1); |
|
|
|
|
edgeDst(edge1, &dst1); |
|
|
|
|
|
|
|
|
|
Point2f virt_point = computeVoronoiPoint(org0, dst0, org1, dst1); |
|
|
|
|
|
|
|
|
|
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); |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
if( !quadedge.pt[1] ) |
|
|
|
|
{ |
|
|
|
|
int edge1 = getEdge( edge0, NEXT_AROUND_RIGHT ); |
|
|
|
|
int edge2 = getEdge( edge1, NEXT_AROUND_RIGHT ); |
|
|
|
|
|
|
|
|
|
edgeOrg(edge0, &org0); |
|
|
|
|
edgeDst(edge0, &dst0); |
|
|
|
|
edgeOrg(edge1, &org1); |
|
|
|
|
edgeDst(edge1, &dst1); |
|
|
|
|
|
|
|
|
|
Point2f virt_point = computeVoronoiPoint(org0, dst0, org1, dst1); |
|
|
|
|
|
|
|
|
|
if( fabs( virt_point.x ) < FLT_MAX * 0.5 && |
|
|
|
|
fabs( virt_point.y ) < FLT_MAX * 0.5 ) |
|
|
|
|
{ |
|
|
|
|
quadedge.pt[1] = qedges[edge1 >> 2].pt[1 + (edge1 & 2)] =
|
|
|
|
|
qedges[edge2 >> 2].pt[1 + (edge2 & 2)] = newPoint(virt_point, true); |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
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) |
|
|
|
|
{ |
|
|
|
|
if( !validGeometry ) |
|
|
|
|
calcVoronoi(); |
|
|
|
|
|
|
|
|
|
int vertex = 0, edge = 0; |
|
|
|
|
int loc = locate( pt, edge, vertex ); |
|
|
|
|
|
|
|
|
|
if( loc != PTLOC_ON_EDGE && loc != PTLOC_INSIDE ) |
|
|
|
|
return vertex; |
|
|
|
|
|
|
|
|
|
vertex = 0; |
|
|
|
|
|
|
|
|
|
Point2f start; |
|
|
|
|
edgeOrg(edge, &start); |
|
|
|
|
Point2f diff = pt - start; |
|
|
|
|
|
|
|
|
|
edge = rotateEdge(edge, 1); |
|
|
|
|
|
|
|
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int i, total = (int)vtx.size(); |
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for( i = 0; i < total; i++ ) |
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{ |
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Point2f t; |
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for(;;) |
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{ |
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CV_Assert( edgeDst(edge, &t) > 0 ); |
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if( isRightOf2( t, start, diff ) >= 0 ) |
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break; |
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edge = getEdge( edge, NEXT_AROUND_LEFT ); |
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} |
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for(;;) |
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{ |
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CV_Assert( edgeOrg( edge, &t ) > 0 ); |
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if( isRightOf2( t, start, diff ) < 0 ) |
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break; |
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edge = getEdge( edge, PREV_AROUND_LEFT ); |
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} |
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Point2f tempDiff; |
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edgeDst(edge, &tempDiff); |
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edgeOrg(edge, &t); |
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tempDiff -= t; |
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if( isRightOf2( pt, t, tempDiff ) >= 0 ) |
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{ |
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vertex = edgeOrg(rotateEdge( edge, 3 )); |
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break; |
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} |
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edge = symEdge( edge ); |
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} |
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if( nearestPt && vertex > 0 ) |
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*nearestPt = vtx[vertex].pt; |
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return vertex; |
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} |
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void Subdiv2D::getTriangleList(vector<Vec6f>& triangleList) |
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{ |
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vector<bool> processed(vtx.size(), false); |
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processed[0] = true; |
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calcVoronoi(); |
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triangleList.clear(); |
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for( size_t i = 4; i < qedges.size(); i++ ) |
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{ |
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if( qedges[i].isfree() ) |
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continue; |
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int e0 = (int)(i*4), e1 = rotateEdge(e0, 1), e; |
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int vidx0 = edgeOrg(e1), vidx1 = edgeDst(e1); |
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Point2f a, b, c; |
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if( !processed[vidx0] ) |
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{ |
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edgeOrg(e0, &a); |
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edgeDst(e0, &b); |
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e = getEdge(e0, NEXT_AROUND_LEFT); |
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edgeDst(e, &c); |
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triangleList.push_back(Vec6f(a.x, a.y, b.x, b.y, c.x, c.y)); |
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processed[vidx0] = true; |
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} |
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if( !processed[vidx1] ) |
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{ |
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edgeDst(e0, &a); |
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edgeOrg(e0, &b); |
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e = getEdge(e0, PREV_AROUND_RIGHT); |
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edgeOrg(e, &c); |
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triangleList.push_back(Vec6f(a.x, a.y, b.x, b.y, c.x, c.y)); |
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processed[vidx1] = true; |
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} |
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} |
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|
} |
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void Subdiv2D::getVoronoiFacetList(const vector<int>& idx, CV_OUT vector<vector<Point2f> >& facetList) |
|
|
|
|
{ |
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|
calcVoronoi(); |
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|
facetList.clear(); |
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|
vector<Point2f> buf; |
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|
size_t i, total; |
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|
|
if( idx.empty() ) |
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|
i = 4, total = vtx.size(); |
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|
else |
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|
i = 0, total = idx.size(); |
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|
for( ; i < total; i++ ) |
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|
{ |
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|
|
int k = idx.empty() ? (int)i : idx[i]; |
|
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|
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|
|
|
if( vtx[k].isvirtual() ) |
|
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|
|
continue; |
|
|
|
|
int edge = rotateEdge(vtx[k].firstEdge, 1), t = edge;
|
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|
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|
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|
|
|
|
// gather points
|
|
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|
|
buf.clear(); |
|
|
|
|
do |
|
|
|
|
{ |
|
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|
|
buf.push_back(vtx[edgeOrg(t)].pt); |
|
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|
|
t = getEdge( t, NEXT_AROUND_LEFT ); |
|
|
|
|
} |
|
|
|
|
while( t != edge ); |
|
|
|
|
|
|
|
|
|
facetList.push_back(buf); |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
using namespace cv; |
|
|
|
|
using namespace std; |
|
|
|
|
|
|
|
|
@ -837,7 +16,6 @@ static void help() |
|
|
|
|
"hitting any key.\n"; |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
static void draw_subdiv_point( Mat& img, Point2f fp, Scalar color ) |
|
|
|
|
{ |
|
|
|
|
circle( img, fp, 3, color, CV_FILLED, 8, 0 ); |
|
|
|
@ -845,6 +23,7 @@ static void draw_subdiv_point( Mat& img, Point2f fp, Scalar color ) |
|
|
|
|
|
|
|
|
|
static void draw_subdiv( Mat& img, Subdiv2D& subdiv, Scalar delaunay_color ) |
|
|
|
|
{ |
|
|
|
|
#if 1 |
|
|
|
|
vector<Vec6f> triangleList; |
|
|
|
|
subdiv.getTriangleList(triangleList); |
|
|
|
|
vector<Point> pt(3); |
|
|
|
@ -859,12 +38,25 @@ static void draw_subdiv( Mat& img, Subdiv2D& subdiv, Scalar delaunay_color ) |
|
|
|
|
line(img, pt[1], pt[2], delaunay_color, 1, CV_AA, 0); |
|
|
|
|
line(img, pt[2], pt[0], delaunay_color, 1, CV_AA, 0); |
|
|
|
|
} |
|
|
|
|
#else |
|
|
|
|
vector<Vec4f> edgeList; |
|
|
|
|
subdiv.getEdgeList(edgeList); |
|
|
|
|
for( size_t i = 0; i < edgeList.size(); i++ ) |
|
|
|
|
{ |
|
|
|
|
Vec4f e = edgeList[i]; |
|
|
|
|
Point pt0 = Point(cvRound(e[0]), cvRound(e[1])); |
|
|
|
|
Point pt1 = Point(cvRound(e[2]), cvRound(e[3])); |
|
|
|
|
line(img, pt0, pt1, delaunay_color, 1, CV_AA, 0); |
|
|
|
|
} |
|
|
|
|
#endif |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
static void locate_point( Mat& img, Subdiv2D& subdiv, Point2f fp, Scalar active_color ) |
|
|
|
|
{ |
|
|
|
|
int e0=0, vertex=0; |
|
|
|
|
|
|
|
|
|
CvSubdiv2DEdge e00; |
|
|
|
|
|
|
|
|
|
subdiv.locate(fp, e0, vertex); |
|
|
|
|
|
|
|
|
|
if( e0 > 0 ) |
|
|
|
@ -888,7 +80,8 @@ static void locate_point( Mat& img, Subdiv2D& subdiv, Point2f fp, Scalar active_ |
|
|
|
|
void paint_voronoi( Mat& img, Subdiv2D& subdiv ) |
|
|
|
|
{ |
|
|
|
|
vector<vector<Point2f> > facets; |
|
|
|
|
subdiv.getVoronoiFacetList(vector<int>(), facets); |
|
|
|
|
vector<Point2f> centers; |
|
|
|
|
subdiv.getVoronoiFacetList(vector<int>(), facets, centers); |
|
|
|
|
|
|
|
|
|
vector<Point> ifacet; |
|
|
|
|
vector<vector<Point> > ifacets(1); |
|
|
|
@ -900,13 +93,14 @@ void paint_voronoi( Mat& img, Subdiv2D& subdiv ) |
|
|
|
|
ifacet[j] = facets[i][j]; |
|
|
|
|
|
|
|
|
|
Scalar color; |
|
|
|
|
color[0] = rand() & 256; |
|
|
|
|
color[1] = rand() & 256; |
|
|
|
|
color[2] = rand() & 256; |
|
|
|
|
color[0] = rand() & 255; |
|
|
|
|
color[1] = rand() & 255; |
|
|
|
|
color[2] = rand() & 255; |
|
|
|
|
fillConvexPoly(img, ifacet, color, 8, 0); |
|
|
|
|
|
|
|
|
|
ifacets[0] = ifacet; |
|
|
|
|
polylines(img, ifacets, true, Scalar(), 1, CV_AA, 0); |
|
|
|
|
circle(img, centers[i], 3, Scalar(), -1, CV_AA, 0); |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
|
|
|
|
@ -937,6 +131,7 @@ int main( int, char** ) |
|
|
|
|
break; |
|
|
|
|
|
|
|
|
|
subdiv.insert(fp); |
|
|
|
|
|
|
|
|
|
img = Scalar::all(0); |
|
|
|
|
draw_subdiv( img, subdiv, delaunay_color ); |
|
|
|
|
imshow( win, img ); |
|
|
|
|