/*M/////////////////////////////////////////////////////////////////////////////////////// // // IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING. // // By downloading, copying, installing or using the software you agree to this license. // If you do not agree to this license, do not download, install, // copy or use the software. // // // Intel License Agreement // For Open Source Computer Vision Library // // Copyright (C) 2000, Intel Corporation, all rights reserved. // Third party copyrights are property of their respective owners. // // Redistribution and use in source and binary forms, with or without modification, // are permitted provided that the following conditions are met: // // * Redistribution's of source code must retain the above copyright notice, // this list of conditions and the following disclaimer. // // * Redistribution's in binary form must reproduce the above copyright notice, // this list of conditions and the following disclaimer in the documentation // and/or other materials provided with the distribution. // // * The name of Intel Corporation may not be used to endorse or promote products // derived from this software without specific prior written permission. // // This software is provided by the copyright holders and contributors "as is" and // any express or implied warranties, including, but not limited to, the implied // warranties of merchantability and fitness for a particular purpose are disclaimed. // In no event shall the Intel Corporation or contributors be liable for any direct, // indirect, incidental, special, exemplary, or consequential damages // (including, but not limited to, procurement of substitute goods or services; // loss of use, data, or profits; or business interruption) however caused // and on any theory of liability, whether in contract, strict liability, // or tort (including negligence or otherwise) arising in any way out of // the use of this software, even if advised of the possibility of such damage. // //M*/ #include "precomp.hpp" CV_IMPL CvSubdiv2D * cvCreateSubdiv2D( int subdiv_type, int header_size, int vtx_size, int quadedge_size, CvMemStorage * storage ) { if( !storage ) CV_Error( CV_StsNullPtr, "" ); if( header_size < (int)sizeof( CvSubdiv2D ) || quadedge_size < (int)sizeof( CvQuadEdge2D ) || vtx_size < (int)sizeof( CvSubdiv2DPoint )) CV_Error( CV_StsBadSize, "" ); return (CvSubdiv2D *)cvCreateGraph( subdiv_type, header_size, vtx_size, quadedge_size, storage ); } /****************************************************************************************\ * Quad Edge algebra * \****************************************************************************************/ static CvSubdiv2DEdge cvSubdiv2DMakeEdge( CvSubdiv2D * subdiv ) { if( !subdiv ) CV_Error( CV_StsNullPtr, "" ); CvQuadEdge2D* edge = (CvQuadEdge2D*)cvSetNew( (CvSet*)subdiv->edges ); memset( edge->pt, 0, sizeof( edge->pt )); CvSubdiv2DEdge edgehandle = (CvSubdiv2DEdge) edge; edge->next[0] = edgehandle; edge->next[1] = edgehandle + 3; edge->next[2] = edgehandle + 2; edge->next[3] = edgehandle + 1; subdiv->quad_edges++; return edgehandle; } static CvSubdiv2DPoint * cvSubdiv2DAddPoint( CvSubdiv2D * subdiv, CvPoint2D32f pt, int is_virtual ) { CvSubdiv2DPoint* subdiv_point = (CvSubdiv2DPoint*)cvSetNew( (CvSet*)subdiv ); if( subdiv_point ) { memset( subdiv_point, 0, subdiv->elem_size ); subdiv_point->pt = pt; subdiv_point->first = 0; subdiv_point->flags |= is_virtual ? CV_SUBDIV2D_VIRTUAL_POINT_FLAG : 0; subdiv_point->id = -1; } return subdiv_point; } static void cvSubdiv2DSplice( CvSubdiv2DEdge edgeA, CvSubdiv2DEdge edgeB ) { CvSubdiv2DEdge *a_next = &CV_SUBDIV2D_NEXT_EDGE( edgeA ); CvSubdiv2DEdge *b_next = &CV_SUBDIV2D_NEXT_EDGE( edgeB ); CvSubdiv2DEdge a_rot = cvSubdiv2DRotateEdge( *a_next, 1 ); CvSubdiv2DEdge b_rot = cvSubdiv2DRotateEdge( *b_next, 1 ); CvSubdiv2DEdge *a_rot_next = &CV_SUBDIV2D_NEXT_EDGE( a_rot ); CvSubdiv2DEdge *b_rot_next = &CV_SUBDIV2D_NEXT_EDGE( b_rot ); CvSubdiv2DEdge t; CV_SWAP( *a_next, *b_next, t ); CV_SWAP( *a_rot_next, *b_rot_next, t ); } static void cvSubdiv2DSetEdgePoints( CvSubdiv2DEdge edge, CvSubdiv2DPoint * org_pt, CvSubdiv2DPoint * dst_pt ) { CvQuadEdge2D *quadedge = (CvQuadEdge2D *) (edge & ~3); if( !quadedge ) CV_Error( CV_StsNullPtr, "" ); quadedge->pt[edge & 3] = org_pt; quadedge->pt[(edge + 2) & 3] = dst_pt; } static void cvSubdiv2DDeleteEdge( CvSubdiv2D * subdiv, CvSubdiv2DEdge edge ) { CvQuadEdge2D *quadedge = (CvQuadEdge2D *) (edge & ~3); if( !subdiv || !quadedge ) CV_Error( CV_StsNullPtr, "" ); cvSubdiv2DSplice( edge, cvSubdiv2DGetEdge( edge, CV_PREV_AROUND_ORG )); CvSubdiv2DEdge sym_edge = cvSubdiv2DSymEdge( edge ); cvSubdiv2DSplice( sym_edge, cvSubdiv2DGetEdge( sym_edge, CV_PREV_AROUND_ORG )); cvSetRemoveByPtr( (CvSet*)(subdiv->edges), quadedge ); subdiv->quad_edges--; } static CvSubdiv2DEdge cvSubdiv2DConnectEdges( CvSubdiv2D * subdiv, CvSubdiv2DEdge edgeA, CvSubdiv2DEdge edgeB ) { if( !subdiv ) CV_Error( CV_StsNullPtr, "" ); CvSubdiv2DEdge new_edge = cvSubdiv2DMakeEdge( subdiv ); cvSubdiv2DSplice( new_edge, cvSubdiv2DGetEdge( edgeA, CV_NEXT_AROUND_LEFT )); cvSubdiv2DSplice( cvSubdiv2DSymEdge( new_edge ), edgeB ); CvSubdiv2DPoint* dstA = cvSubdiv2DEdgeDst( edgeA ); CvSubdiv2DPoint* orgB = cvSubdiv2DEdgeOrg( edgeB ); cvSubdiv2DSetEdgePoints( new_edge, dstA, orgB ); return new_edge; } static void cvSubdiv2DSwapEdges( CvSubdiv2DEdge edge ) { CvSubdiv2DEdge sym_edge = cvSubdiv2DSymEdge( edge ); CvSubdiv2DEdge a = cvSubdiv2DGetEdge( edge, CV_PREV_AROUND_ORG ); CvSubdiv2DEdge b = cvSubdiv2DGetEdge( sym_edge, CV_PREV_AROUND_ORG ); CvSubdiv2DPoint *dstB, *dstA; cvSubdiv2DSplice( edge, a ); cvSubdiv2DSplice( sym_edge, b ); dstA = cvSubdiv2DEdgeDst( a ); dstB = cvSubdiv2DEdgeDst( b ); cvSubdiv2DSetEdgePoints( edge, dstA, dstB ); cvSubdiv2DSplice( edge, cvSubdiv2DGetEdge( a, CV_NEXT_AROUND_LEFT )); cvSubdiv2DSplice( sym_edge, cvSubdiv2DGetEdge( b, CV_NEXT_AROUND_LEFT )); } static int icvIsRightOf( CvPoint2D32f& pt, CvSubdiv2DEdge edge ) { CvSubdiv2DPoint *org = cvSubdiv2DEdgeOrg(edge), *dst = cvSubdiv2DEdgeDst(edge); double cw_area = cvTriangleArea( pt, dst->pt, org->pt ); return (cw_area > 0) - (cw_area < 0); } CV_IMPL CvSubdiv2DPointLocation cvSubdiv2DLocate( CvSubdiv2D * subdiv, CvPoint2D32f pt, CvSubdiv2DEdge * _edge, CvSubdiv2DPoint ** _point ) { CvSubdiv2DPoint *point = 0; int right_of_curr = 0; if( !subdiv ) CV_Error( CV_StsNullPtr, "" ); if( !CV_IS_SUBDIV2D(subdiv) ) CV_Error( CV_StsBadFlag, "" ); int i, max_edges = subdiv->quad_edges * 4; CvSubdiv2DEdge edge = subdiv->recent_edge; if( max_edges == 0 ) CV_Error( CV_StsBadSize, "" ); CV_Assert(edge != 0); if( pt.x < subdiv->topleft.x || pt.y < subdiv->topleft.y || pt.x >= subdiv->bottomright.x || pt.y >= subdiv->bottomright.y ) CV_Error( CV_StsOutOfRange, "" ); CvSubdiv2DPointLocation location = CV_PTLOC_ERROR; right_of_curr = icvIsRightOf( pt, edge ); if( right_of_curr > 0 ) { edge = cvSubdiv2DSymEdge( edge ); right_of_curr = -right_of_curr; } for( i = 0; i < max_edges; i++ ) { CvSubdiv2DEdge onext_edge = cvSubdiv2DNextEdge( edge ); CvSubdiv2DEdge dprev_edge = cvSubdiv2DGetEdge( edge, CV_PREV_AROUND_DST ); int right_of_onext = icvIsRightOf( pt, onext_edge ); int right_of_dprev = icvIsRightOf( pt, dprev_edge ); if( right_of_dprev > 0 ) { if( right_of_onext > 0 || (right_of_onext == 0 && right_of_curr == 0) ) { location = CV_PTLOC_INSIDE; goto exit; } 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 = CV_PTLOC_INSIDE; goto exit; } else { right_of_curr = right_of_dprev; edge = dprev_edge; } } else if( right_of_curr == 0 && icvIsRightOf( cvSubdiv2DEdgeDst( onext_edge )->pt, edge ) >= 0 ) { edge = cvSubdiv2DSymEdge( edge ); } else { right_of_curr = right_of_onext; edge = onext_edge; } } } exit: subdiv->recent_edge = edge; if( location == CV_PTLOC_INSIDE ) { double t1, t2, t3; CvPoint2D32f org_pt = cvSubdiv2DEdgeOrg( edge )->pt; CvPoint2D32f dst_pt = cvSubdiv2DEdgeDst( edge )->pt; t1 = fabs( pt.x - org_pt.x ); t1 += fabs( pt.y - org_pt.y ); t2 = fabs( pt.x - dst_pt.x ); t2 += fabs( pt.y - dst_pt.y ); t3 = fabs( org_pt.x - dst_pt.x ); t3 += fabs( org_pt.y - dst_pt.y ); if( t1 < FLT_EPSILON ) { location = CV_PTLOC_VERTEX; point = cvSubdiv2DEdgeOrg( edge ); edge = 0; } else if( t2 < FLT_EPSILON ) { location = CV_PTLOC_VERTEX; point = cvSubdiv2DEdgeDst( edge ); edge = 0; } else if( (t1 < t3 || t2 < t3) && fabs( cvTriangleArea( pt, org_pt, dst_pt )) < FLT_EPSILON ) { location = CV_PTLOC_ON_EDGE; point = 0; } } if( location == CV_PTLOC_ERROR ) { edge = 0; point = 0; } if( _edge ) *_edge = edge; if( _point ) *_point = point; return location; } CV_INLINE int icvIsPtInCircle3( CvPoint2D32f pt, CvPoint2D32f a, CvPoint2D32f b, CvPoint2D32f c ) { double val = (a.x * a.x + a.y * a.y) * cvTriangleArea( b, c, pt ); val -= (b.x * b.x + b.y * b.y) * cvTriangleArea( a, c, pt ); val += (c.x * c.x + c.y * c.y) * cvTriangleArea( a, b, pt ); val -= (pt.x * pt.x + pt.y * pt.y) * cvTriangleArea( a, b, c ); return val > FLT_EPSILON ? 1 : val < -FLT_EPSILON ? -1 : 0; } CV_IMPL CvSubdiv2DPoint * cvSubdivDelaunay2DInsert( CvSubdiv2D * subdiv, CvPoint2D32f pt ) { CvSubdiv2DPoint *point = 0; CvSubdiv2DPointLocation location = CV_PTLOC_ERROR; CvSubdiv2DPoint *curr_point = 0, *first_point = 0; CvSubdiv2DEdge curr_edge = 0, deleted_edge = 0, base_edge = 0; int i, max_edges; if( !subdiv ) CV_Error( CV_StsNullPtr, "" ); if( !CV_IS_SUBDIV2D(subdiv) ) CV_Error( CV_StsBadFlag, "" ); location = cvSubdiv2DLocate( subdiv, pt, &curr_edge, &curr_point ); switch (location) { case CV_PTLOC_ERROR: CV_Error( CV_StsBadSize, "" ); case CV_PTLOC_OUTSIDE_RECT: CV_Error( CV_StsOutOfRange, "" ); case CV_PTLOC_VERTEX: point = curr_point; break; case CV_PTLOC_ON_EDGE: deleted_edge = curr_edge; subdiv->recent_edge = curr_edge = cvSubdiv2DGetEdge( curr_edge, CV_PREV_AROUND_ORG ); cvSubdiv2DDeleteEdge( subdiv, deleted_edge ); /* no break */ case CV_PTLOC_INSIDE: assert( curr_edge != 0 ); subdiv->is_geometry_valid = 0; curr_point = cvSubdiv2DAddPoint( subdiv, pt, 0 ); base_edge = cvSubdiv2DMakeEdge( subdiv ); first_point = cvSubdiv2DEdgeOrg( curr_edge ); cvSubdiv2DSetEdgePoints( base_edge, first_point, curr_point ); cvSubdiv2DSplice( base_edge, curr_edge ); do { base_edge = cvSubdiv2DConnectEdges( subdiv, curr_edge, cvSubdiv2DSymEdge( base_edge )); curr_edge = cvSubdiv2DGetEdge( base_edge, CV_PREV_AROUND_ORG ); } while( cvSubdiv2DEdgeDst( curr_edge ) != first_point ); curr_edge = cvSubdiv2DGetEdge( base_edge, CV_PREV_AROUND_ORG ); max_edges = subdiv->quad_edges * 4; for( i = 0; i < max_edges; i++ ) { CvSubdiv2DPoint *temp_dst = 0, *curr_org = 0, *curr_dst = 0; CvSubdiv2DEdge temp_edge = cvSubdiv2DGetEdge( curr_edge, CV_PREV_AROUND_ORG ); temp_dst = cvSubdiv2DEdgeDst( temp_edge ); curr_org = cvSubdiv2DEdgeOrg( curr_edge ); curr_dst = cvSubdiv2DEdgeDst( curr_edge ); if( icvIsRightOf( temp_dst->pt, curr_edge ) > 0 && icvIsPtInCircle3( curr_org->pt, temp_dst->pt, curr_dst->pt, curr_point->pt ) < 0 ) { cvSubdiv2DSwapEdges( curr_edge ); curr_edge = cvSubdiv2DGetEdge( curr_edge, CV_PREV_AROUND_ORG ); } else if( curr_org == first_point ) { break; } else { curr_edge = cvSubdiv2DGetEdge( cvSubdiv2DNextEdge( curr_edge ), CV_PREV_AROUND_LEFT ); } } break; default: CV_Error_(CV_StsError, ("cvSubdiv2DLocate returned invalid location = %d", location) ); } return curr_point; } CV_IMPL void cvInitSubdivDelaunay2D( CvSubdiv2D * subdiv, CvRect rect ) { float big_coord = 3.f * MAX( rect.width, rect.height ); CvPoint2D32f ppA, ppB, ppC; CvSubdiv2DPoint *pA, *pB, *pC; CvSubdiv2DEdge edge_AB, edge_BC, edge_CA; float rx = (float) rect.x; float ry = (float) rect.y; if( !subdiv ) CV_Error( CV_StsNullPtr, "" ); cvClearSet( (CvSet *) (subdiv->edges) ); cvClearSet( (CvSet *) subdiv ); subdiv->quad_edges = 0; subdiv->recent_edge = 0; subdiv->is_geometry_valid = 0; subdiv->topleft = cvPoint2D32f( rx, ry ); subdiv->bottomright = cvPoint2D32f( rx + rect.width, ry + rect.height ); ppA = cvPoint2D32f( rx + big_coord, ry ); ppB = cvPoint2D32f( rx, ry + big_coord ); ppC = cvPoint2D32f( rx - big_coord, ry - big_coord ); pA = cvSubdiv2DAddPoint( subdiv, ppA, 0 ); pB = cvSubdiv2DAddPoint( subdiv, ppB, 0 ); pC = cvSubdiv2DAddPoint( subdiv, ppC, 0 ); edge_AB = cvSubdiv2DMakeEdge( subdiv ); edge_BC = cvSubdiv2DMakeEdge( subdiv ); edge_CA = cvSubdiv2DMakeEdge( subdiv ); cvSubdiv2DSetEdgePoints( edge_AB, pA, pB ); cvSubdiv2DSetEdgePoints( edge_BC, pB, pC ); cvSubdiv2DSetEdgePoints( edge_CA, pC, pA ); cvSubdiv2DSplice( edge_AB, cvSubdiv2DSymEdge( edge_CA )); cvSubdiv2DSplice( edge_BC, cvSubdiv2DSymEdge( edge_AB )); cvSubdiv2DSplice( edge_CA, cvSubdiv2DSymEdge( edge_BC )); subdiv->recent_edge = edge_AB; } CV_IMPL void cvClearSubdivVoronoi2D( CvSubdiv2D * subdiv ) { int elem_size; int i, total; CvSeqReader reader; if( !subdiv ) CV_Error( CV_StsNullPtr, "" ); /* clear pointers to voronoi points */ total = subdiv->edges->total; elem_size = subdiv->edges->elem_size; cvStartReadSeq( (CvSeq *) (subdiv->edges), &reader, 0 ); for( i = 0; i < total; i++ ) { CvQuadEdge2D *quadedge = (CvQuadEdge2D *) reader.ptr; quadedge->pt[1] = quadedge->pt[3] = 0; CV_NEXT_SEQ_ELEM( elem_size, reader ); } /* remove voronoi points */ total = subdiv->total; elem_size = subdiv->elem_size; cvStartReadSeq( (CvSeq *) subdiv, &reader, 0 ); for( i = 0; i < total; i++ ) { CvSubdiv2DPoint *pt = (CvSubdiv2DPoint *) reader.ptr; /* check for virtual point. it is also check that the point exists */ if( pt->flags & CV_SUBDIV2D_VIRTUAL_POINT_FLAG ) { cvSetRemoveByPtr( (CvSet*)subdiv, pt ); } CV_NEXT_SEQ_ELEM( elem_size, reader ); } subdiv->is_geometry_valid = 0; } CV_IMPL void cvCalcSubdivVoronoi2D( CvSubdiv2D * subdiv ) { CvSeqReader reader; int i, total, elem_size; if( !subdiv ) CV_Error( CV_StsNullPtr, "" ); /* check if it is already calculated */ if( subdiv->is_geometry_valid ) return; total = subdiv->edges->total; elem_size = subdiv->edges->elem_size; cvClearSubdivVoronoi2D( subdiv ); cvStartReadSeq( (CvSeq *) (subdiv->edges), &reader, 0 ); if( total <= 3 ) return; /* skip first three edges (bounding triangle) */ for( i = 0; i < 3; i++ ) CV_NEXT_SEQ_ELEM( elem_size, reader ); /* loop through all quad-edges */ for( ; i < total; i++ ) { CvQuadEdge2D *quadedge = (CvQuadEdge2D *) (reader.ptr); if( CV_IS_SET_ELEM( quadedge )) { CvSubdiv2DEdge edge0 = (CvSubdiv2DEdge) quadedge, edge1, edge2; double a0, b0, c0, a1, b1, c1; CvPoint2D32f virt_point; CvSubdiv2DPoint *voronoi_point; if( !quadedge->pt[3] ) { edge1 = cvSubdiv2DGetEdge( edge0, CV_NEXT_AROUND_LEFT ); edge2 = cvSubdiv2DGetEdge( edge1, CV_NEXT_AROUND_LEFT ); icvCreateCenterNormalLine( edge0, &a0, &b0, &c0 ); icvCreateCenterNormalLine( edge1, &a1, &b1, &c1 ); icvIntersectLines3( &a0, &b0, &c0, &a1, &b1, &c1, &virt_point ); if( fabs( virt_point.x ) < FLT_MAX * 0.5 && fabs( virt_point.y ) < FLT_MAX * 0.5 ) { voronoi_point = cvSubdiv2DAddPoint( subdiv, virt_point, 1 ); quadedge->pt[3] = ((CvQuadEdge2D *) (edge1 & ~3))->pt[3 - (edge1 & 2)] = ((CvQuadEdge2D *) (edge2 & ~3))->pt[3 - (edge2 & 2)] = voronoi_point; } } if( !quadedge->pt[1] ) { edge1 = cvSubdiv2DGetEdge( edge0, CV_NEXT_AROUND_RIGHT ); edge2 = cvSubdiv2DGetEdge( edge1, CV_NEXT_AROUND_RIGHT ); icvCreateCenterNormalLine( edge0, &a0, &b0, &c0 ); icvCreateCenterNormalLine( edge1, &a1, &b1, &c1 ); icvIntersectLines3( &a0, &b0, &c0, &a1, &b1, &c1, &virt_point ); if( fabs( virt_point.x ) < FLT_MAX * 0.5 && fabs( virt_point.y ) < FLT_MAX * 0.5 ) { voronoi_point = cvSubdiv2DAddPoint( subdiv, virt_point, 1 ); quadedge->pt[1] = ((CvQuadEdge2D *) (edge1 & ~3))->pt[1 + (edge1 & 2)] = ((CvQuadEdge2D *) (edge2 & ~3))->pt[1 + (edge2 & 2)] = voronoi_point; } } } CV_NEXT_SEQ_ELEM( elem_size, reader ); } subdiv->is_geometry_valid = 1; } static int icvIsRightOf2( const CvPoint2D32f& pt, const CvPoint2D32f& org, const CvPoint2D32f& diff ) { Cv32suf cw_area; cw_area.f = (org.x - pt.x)*diff.y - (org.y - pt.y)*diff.x; return (cw_area.i > 0)*2 - (cw_area.i*2 != 0); } CV_IMPL CvSubdiv2DPoint* cvFindNearestPoint2D( CvSubdiv2D* subdiv, CvPoint2D32f pt ) { CvSubdiv2DPoint* point = 0; CvPoint2D32f start; CvPoint2D32f diff; CvSubdiv2DPointLocation loc; CvSubdiv2DEdge edge; int i; if( !subdiv ) CV_Error( CV_StsNullPtr, "" ); if( !CV_IS_SUBDIV2D( subdiv )) CV_Error( CV_StsNullPtr, "" ); if( subdiv->edges->active_count <= 3 ) return 0; if( !subdiv->is_geometry_valid ) cvCalcSubdivVoronoi2D( subdiv ); loc = cvSubdiv2DLocate( subdiv, pt, &edge, &point ); switch( loc ) { case CV_PTLOC_ON_EDGE: case CV_PTLOC_INSIDE: break; default: return point; } point = 0; start = cvSubdiv2DEdgeOrg( edge )->pt; diff.x = pt.x - start.x; diff.y = pt.y - start.y; edge = cvSubdiv2DRotateEdge( edge, 1 ); for( i = 0; i < subdiv->total; i++ ) { CvPoint2D32f t; for(;;) { assert( cvSubdiv2DEdgeDst( edge )); t = cvSubdiv2DEdgeDst( edge )->pt; if( icvIsRightOf2( t, start, diff ) >= 0 ) break; edge = cvSubdiv2DGetEdge( edge, CV_NEXT_AROUND_LEFT ); } for(;;) { assert( cvSubdiv2DEdgeOrg( edge )); t = cvSubdiv2DEdgeOrg( edge )->pt; if( icvIsRightOf2( t, start, diff ) < 0 ) break; edge = cvSubdiv2DGetEdge( edge, CV_PREV_AROUND_LEFT ); } { CvPoint2D32f tempDiff = cvSubdiv2DEdgeDst( edge )->pt; t = cvSubdiv2DEdgeOrg( edge )->pt; tempDiff.x -= t.x; tempDiff.y -= t.y; if( icvIsRightOf2( pt, t, tempDiff ) >= 0 ) { point = cvSubdiv2DEdgeOrg( cvSubdiv2DRotateEdge( edge, 3 )); break; } } edge = cvSubdiv2DSymEdge( edge ); } return point; } /* End of file. */