xref: /external/opencv/cv/src/cvsubdivision2d.cpp

/*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 "_cv.h"

CV_IMPL CvSubdiv2D *
cvCreateSubdiv2D( int subdiv_type, int header_size,
                  int vtx_size, int quadedge_size, CvMemStorage * storage )
{
    CvSubdiv2D *subdiv = 0;

    CV_FUNCNAME( "cvCleateSubdiv2D" );

    __BEGIN__;

    if( !storage )
        CV_ERROR( CV_StsNullPtr, "" );

    if( header_size < (int)sizeof( *subdiv ) ||
        quadedge_size < (int)sizeof( CvQuadEdge2D ) ||
        vtx_size < (int)sizeof( CvSubdiv2DPoint ))
        CV_ERROR_FROM_STATUS( CV_BADSIZE_ERR );

    subdiv = (CvSubdiv2D *) cvCreateGraph( subdiv_type, header_size,
                                           vtx_size, quadedge_size, storage );


    __END__;

    return subdiv;
}


/****************************************************************************************\
*                                    Quad Edge  algebra                                  *
\****************************************************************************************/

static CvSubdiv2DEdge
cvSubdiv2DMakeEdge( CvSubdiv2D * subdiv )
{
    CvQuadEdge2D *edge = 0;
    CvSubdiv2DEdge edgehandle = 0;

    CV_FUNCNAME( "cvSubdiv2DMakeEdge" );

    __BEGIN__;

    if( !subdiv )
        CV_ERROR( CV_StsNullPtr, "" );

    edge = (CvQuadEdge2D*)cvSetNew( (CvSet*)subdiv->edges );
    CV_CHECK();

    memset( edge->pt, 0, sizeof( edge->pt ));
    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++;


    __END__;

    return edgehandle;
}


static CvSubdiv2DPoint *
cvSubdiv2DAddPoint( CvSubdiv2D * subdiv, CvPoint2D32f pt, int is_virtual )
{
    CvSubdiv2DPoint *subdiv_point = 0;

    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;
    }

    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);

    CV_FUNCNAME( "cvSubdiv2DSetEdgePoints" );

    __BEGIN__;

    if( !quadedge )
        CV_ERROR( CV_StsNullPtr, "" );

    quadedge->pt[edge & 3] = org_pt;
    quadedge->pt[(edge + 2) & 3] = dst_pt;


    __END__;
}


static void
cvSubdiv2DDeleteEdge( CvSubdiv2D * subdiv, CvSubdiv2DEdge edge )
{
    CvQuadEdge2D *quadedge = (CvQuadEdge2D *) (edge & ~3);

    CV_FUNCNAME( "cvSubdiv2DDeleteEdge" );

    __BEGIN__;

    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--;


    __END__;
}


static CvSubdiv2DEdge
cvSubdiv2DConnectEdges( CvSubdiv2D * subdiv, CvSubdiv2DEdge edgeA, CvSubdiv2DEdge edgeB )
{
    CvSubdiv2DEdge new_edge = 0;

    CV_FUNCNAME( "cvSubdiv2DConnectPoints" );

    __BEGIN__;

    CvSubdiv2DPoint *orgB, *dstA;

    if( !subdiv )
        CV_ERROR( CV_StsNullPtr, "" );

    new_edge = cvSubdiv2DMakeEdge( subdiv );

    cvSubdiv2DSplice( new_edge, cvSubdiv2DGetEdge( edgeA, CV_NEXT_AROUND_LEFT ));
    cvSubdiv2DSplice( cvSubdiv2DSymEdge( new_edge ), edgeB );

    dstA = cvSubdiv2DEdgeDst( edgeA );
    orgB = cvSubdiv2DEdgeOrg( edgeB );
    cvSubdiv2DSetEdgePoints( new_edge, dstA, orgB );

    __END__;

    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);
    Cv32suf cw_area;
    cw_area.f = (float)cvTriangleArea( pt, dst->pt, org->pt );

    return (cw_area.i > 0)*2 - (cw_area.i*2 != 0);
}


CV_IMPL CvSubdiv2DPointLocation
cvSubdiv2DLocate( CvSubdiv2D * subdiv, CvPoint2D32f pt,
                  CvSubdiv2DEdge * _edge, CvSubdiv2DPoint ** _point )
{
    CvSubdiv2DEdge edge = 0;
    CvSubdiv2DPoint *point = 0;
    CvSubdiv2DPointLocation location = CV_PTLOC_ERROR;

    int i, max_edges;
    int right_of_curr = 0;

    CV_FUNCNAME( "cvSubdiv2DLocate" );

    __BEGIN__;

    if( !subdiv )
        CV_ERROR( CV_StsNullPtr, "" );

    if( !CV_IS_SUBDIV2D(subdiv) )
        CV_ERROR_FROM_STATUS( CV_BADFLAG_ERR );

    max_edges = subdiv->quad_edges * 4;
    edge = subdiv->recent_edge;

    if( max_edges == 0 )
        CV_ERROR_FROM_STATUS( CV_BADSIZE_ERR );
    if( !edge )
        CV_ERROR_FROM_STATUS( CV_NOTDEFINED_ERR );

    location = CV_PTLOC_OUTSIDE_RECT;
    if( pt.x < subdiv->topleft.x || pt.y < subdiv->topleft.y ||
        pt.x >= subdiv->bottomright.x || pt.y >= subdiv->bottomright.y )
        CV_ERROR_FROM_STATUS( CV_BADRANGE_ERR );

    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;
                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;
                    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;
            }
        }
    }


    __END__;

    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;

    CV_FUNCNAME( "cvSubdivDelaunay2DInsert" );

    __BEGIN__;

    if( !subdiv )
        CV_ERROR( CV_StsNullPtr, "" );

    if( !CV_IS_SUBDIV2D(subdiv) )
        CV_ERROR_FROM_STATUS( CV_BADFLAG_ERR );


    location = cvSubdiv2DLocate( subdiv, pt, &curr_edge, &curr_point );

    switch (location)
    {
    case CV_PTLOC_ERROR:
        CV_ERROR_FROM_STATUS( CV_BADSIZE_ERR );

    case CV_PTLOC_OUTSIDE_RECT:
        CV_ERROR_FROM_STATUS( CV_BADRANGE_ERR );

    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 );
        CV_CHECK();

        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:
        assert( 0 );
        CV_ERROR_FROM_STATUS( CV_NOTDEFINED_ERR );
    }

    point = curr_point;


    __END__;

    //icvSubdiv2DCheck( subdiv );

    return 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;

    CV_FUNCNAME( "cvSubdivDelaunay2DInit" );

    __BEGIN__;

    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;


    __END__;
}


CV_IMPL void
cvClearSubdivVoronoi2D( CvSubdiv2D * subdiv )
{
    int elem_size;
    int i, total;
    CvSeqReader reader;

    CV_FUNCNAME( "cvClearVoronoi2D" );

    __BEGIN__;

    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;


    __END__;
}


CV_IMPL void
cvCalcSubdivVoronoi2D( CvSubdiv2D * subdiv )
{
    CvSeqReader reader;
    int i, total, elem_size;

    CV_FUNCNAME( "cvCalcSubdivVoronoi2D" );

    __BEGIN__;

    if( !subdiv )
        CV_ERROR( CV_StsNullPtr, "" );

    /* check if it is already calculated */
    if( subdiv->is_geometry_valid )
        EXIT;

    total = subdiv->edges->total;
    elem_size = subdiv->edges->elem_size;

    cvClearSubdivVoronoi2D( subdiv );

    cvStartReadSeq( (CvSeq *) (subdiv->edges), &reader, 0 );

    if( total <= 3 )
        EXIT;

    /* 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;


    __END__;
}


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;

    CV_FUNCNAME("cvFindNearestPoint2D");

    __BEGIN__;

    if( !subdiv )
        CV_ERROR( CV_StsNullPtr, "" );

    if( !CV_IS_SUBDIV2D( subdiv ))
        CV_ERROR( CV_StsNullPtr, "" );

    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:
        EXIT;
    }

    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 );
    }

    __END__;

    return point;
}

/* Removed from the main interface */

#if 0
/* Adds new isolated quadedge to the subdivision */
OPENCVAPI  CvSubdiv2DEdge  cvSubdiv2DMakeEdge( CvSubdiv2D* subdiv );


/* Adds new isolated point to subdivision */
OPENCVAPI  CvSubdiv2DPoint*   cvSubdiv2DAddPoint( CvSubdiv2D* subdiv,
                                                  CvPoint2D32f pt, int is_virtual );


/* Does a splice operation for two quadedges */
OPENCVAPI  void  cvSubdiv2DSplice( CvSubdiv2DEdge  edgeA,  CvSubdiv2DEdge  edgeB );


/* Assigns ending [non-virtual] points for given quadedge */
OPENCVAPI  void  cvSubdiv2DSetEdgePoints( CvSubdiv2DEdge edge,
                                          CvSubdiv2DPoint* org_pt,
                                          CvSubdiv2DPoint* dst_pt );

/* Removes quadedge from subdivision */
OPENCVAPI  void  cvSubdiv2DDeleteEdge( CvSubdiv2D* subdiv, CvSubdiv2DEdge edge );


/* Connects estination point of the first edge with origin point of the second edge */
OPENCVAPI  CvSubdiv2DEdge  cvSubdiv2DConnectEdges( CvSubdiv2D* subdiv,
                                                   CvSubdiv2DEdge edgeA,
                                                   CvSubdiv2DEdge edgeB );

/* Swaps diagonal in two connected Delaunay facets */
OPENCVAPI  void  cvSubdiv2DSwapEdges( CvSubdiv2DEdge edge );
#endif

/* End of file. */