424 lines
15 KiB
C++
424 lines
15 KiB
C++
/****************************************************************************
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* VCGLib o o *
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* Visual and Computer Graphics Library o o *
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* _ O _ *
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* Copyright(C) 2004 \/)\/ *
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* Visual Computing Lab /\/| *
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* ISTI - Italian National Research Council | *
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* \ *
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* All rights reserved. *
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* *
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* This program is free software; you can redistribute it and/or modify *
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* it under the terms of the GNU General Public License as published by *
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* the Free Software Foundation; either version 2 of the License, or *
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* (at your option) any later version. *
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* *
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* This program is distributed in the hope that it will be useful, *
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* but WITHOUT ANY WARRANTY; without even the implied warranty of *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
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* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
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* for more details. *
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* *
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****************************************************************************/
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/****************************************************************************
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History
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$Log: not supported by cvs2svn $
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Revision 1.11 2007/05/02 13:25:45 zifnab1974
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only use typename when necessary
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Revision 1.10 2007/04/10 22:46:57 pietroni
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- line 152 changed call intersection to IntersectionPlaneTriangle because changing in function's name
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Revision 1.9 2007/01/03 15:51:28 pietroni
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added initial define and included missing files
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Revision 1.8 2006/01/19 14:06:37 spinelli
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add std:: namespace...
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Revision 1.7 2005/10/03 16:18:15 spinelli
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add template parameter for spatialindexing struction
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Revision 1.6 2005/05/30 09:11:20 ganovelli
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header added, error in include
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Revision 1.3 2005/05/17 21:19:37 ganovelli
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some std::and typename missing (CRS4)
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Revision 1.2 2005/03/08 14:42:22 ganovelli
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added vcg header
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****************************************************************************/
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#include<vector>
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#include <algorithm>
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#include<vcg/space/point3.h>
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#include<vcg/space/plane3.h>
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#include<vcg/space/segment3.h>
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#include<vcg/space/intersection3.h>
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#include<vcg/complex/edgemesh/allocate.h>
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#include<vcg/complex/trimesh/subset.h>
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#include<vcg/complex/trimesh/closest.h>
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#include<vcg/complex/trimesh/base.h>
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#ifndef __VCGLIB_INTERSECTION_TRI_MESH
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#define __VCGLIB_INTERSECTION_TRI_MESH
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namespace vcg{
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/** \addtogroup complex */
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/*@{*/
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/**
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Function computing the intersection between a grid and a plane. It returns all the cells intersected
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*/
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template < typename GridType,typename ScalarType>
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bool Intersect( GridType & grid,Plane3<ScalarType> plane, std::vector<typename GridType::Cell *> &cells){
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Point3d p,_d;
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Plane3d pl;
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_d.Import(plane.Direction());
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pl.SetDirection(_d);
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pl.SetOffset(plane.Offset());
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for( int ax = 0; ax <3; ++ax)
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{ int axis = ax;
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int axis0 = (axis+1)%3;
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int axis1 = (axis+2)%3;
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int i,j;
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Point3i pi;
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Segment3<double> seg;
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seg.P0().Import(grid.bbox.min);
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seg.P1().Import(grid.bbox.min);
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seg.P1()[axis] = grid.bbox.max[axis];
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for(i = 0 ; i <= grid.siz[axis0]; ++i){
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for(j = 0 ; j <= grid.siz[axis1]; ++j)
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{
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seg.P0()[axis0] = grid.bbox.min[axis0]+ (i+0.01) * grid.voxel[axis0] ;
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seg.P1()[axis0] = grid.bbox.min[axis0]+ (i+0.01) * grid.voxel[axis0];
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seg.P0()[axis1] = grid.bbox.min[axis1]+ (j+0.01) * grid.voxel[axis1];
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seg.P1()[axis1] = grid.bbox.min[axis1]+ (j+0.01) * grid.voxel[axis1];
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if ( Intersection(pl,seg,p))
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{
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pi[axis] = std::min(std::max(0,(int)floor((p[axis ]-grid.bbox.min[axis])/grid.voxel[axis])),grid.siz[axis]);
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pi[axis0] = i;
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pi[axis1] = j;
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grid.Grid(pi,axis,cells);
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}
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}
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}
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}
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sort(cells.begin(),cells.end());
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cells.erase(unique(cells.begin(),cells.end()),cells.end());
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return false;
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}
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/*@}*/
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/**
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Basic Function computing the intersection between a trimesh and a plane, provided a pointer
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to an space indexing data structure (e.g. a grid, an oct-tree..)
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*/
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template < typename TriMeshType, typename EdgeMeshType, class ScalarType, class IndexingType >
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bool Intersection( /*TriMeshType & m, */
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Plane3<ScalarType> pl,
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EdgeMeshType & em,
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double& ave_length,
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IndexingType *grid,
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typename std::vector< typename IndexingType::Cell* >& cells)
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{
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typedef typename TriMeshType::FaceContainer FaceContainer;
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typedef IndexingType GridType;
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typename EdgeMeshType::VertexIterator vi;
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typename TriMeshType::FaceIterator fi;
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std::vector<typename TriMeshType::FaceType*> v;
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v.clear();
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Intersect(*grid,pl,cells);
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Segment3<ScalarType> seg;
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ave_length = 0.0;
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typename std::vector<typename GridType::Cell*>::iterator ic;
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typename GridType::Cell fs,ls;
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for(ic = cells.begin(); ic != cells.end();++ic)
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{
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grid->Grid(*ic,fs,ls);
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typename GridType::Link * lk = fs;
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while(lk != ls){
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typename TriMeshType::FaceType & face = *(lk->Elem());
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if(!face.IsS())
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{
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face.SetS();
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v.push_back(&face);
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if(vcg::IntersectionPlaneTriangle(pl,face,seg))// intersezione piano triangolo
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{
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face.SetS();
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// add to em
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ave_length+=seg.Length();
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vcg::edg::Allocator<EdgeMeshType>::AddEdges(em,1);
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vi = vcg::edg::Allocator<EdgeMeshType>::AddVertices(em,2);
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(*vi).P() = seg.P0();
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em.edges.back().V(0) = &(*vi);
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vi++;
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(*vi).P() = seg.P1();
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em.edges.back().V(1) = &(*vi);
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}
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}//endif
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lk++;
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}//end while
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}
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ave_length/=em.en;
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typename std::vector<typename TriMeshType::FaceType*>::iterator v_i;
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for(v_i=v.begin(); v_i!=v.end(); ++v_i) (*v_i)->ClearS();
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return true;
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}
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/** \addtogroup complex */
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/*@{*/
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/**
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Basic Function computing the intersection between a trimesh and a plane. It returns an EdgeMesh without needing anything else.
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Note: This version always returns a segment for each triangle of the mesh which intersects with the plane. In other
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words there are 2*n vertices where n is the number of segments fo the mesh. You can run vcg::edge:Unify to unify
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the vertices closer that a given value epsilon. Note that, due to subtraction error during triangle plane intersection,
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it is not safe to put epsilon to 0.
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// TODO si dovrebbe considerare la topologia face-face della trimesh per derivare quella della edge mesh..
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*/
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template < typename TriMeshType, typename EdgeMeshType, class ScalarType >
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bool Intersection(TriMeshType & m,
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Plane3<ScalarType> pl,
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EdgeMeshType & em)
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{
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typename EdgeMeshType::VertexIterator vi;
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typename TriMeshType::FaceIterator fi;
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em.Clear();
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Segment3<ScalarType> seg;
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for(fi=m.face.begin();fi!=m.face.end();++fi)
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if(!(*fi).IsD())
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{
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if(vcg::IntersectionPlaneTriangle(pl,*fi,seg))// intersezione piano triangolo
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{
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vcg::edg::Allocator<EdgeMeshType>::AddEdges(em,1);
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vi = vcg::edg::Allocator<EdgeMeshType>::AddVertices(em,2);
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(*vi).P() = seg.P0();
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em.edges.back().V(0) = &(*vi);
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vi++;
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(*vi).P() = seg.P1();
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em.edges.back().V(1) = &(*vi);
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}
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}//end for
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return true;
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}
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/** \addtogroup complex */
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/*@{*/
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/**
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Compute the intersection between a trimesh and a plane.
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given a plane return the set of faces that are contained
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into intersected cells.
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*/
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template < typename TriMeshType, class ScalarType, class IndexingType >
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bool Intersection(Plane3<ScalarType> pl,
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IndexingType *grid,
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typename std::vector<typename TriMeshType::FaceType*> &v)
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{
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typedef typename TriMeshType::FaceContainer FaceContainer;
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typedef IndexingType GridType;
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typename TriMeshType::FaceIterator fi;
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v.clear();
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typename std::vector< typename GridType::Cell* > cells;
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Intersect(*grid,pl,cells);
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typename std::vector<typename GridType::Cell*>::iterator ic;
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typename GridType::Cell fs,ls;
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for(ic = cells.begin(); ic != cells.end();++ic)
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{
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grid->Grid(*ic,fs,ls);
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typename GridType::Link * lk = fs;
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while(lk != ls){
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typename TriMeshType::FaceType & face = *(lk->Elem());
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v.push_back(&face);
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lk++;
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}//end while
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}//end for
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return true;
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}
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/**
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Computes the intersection between a Ray and a Mesh. Returns a 3D Pointset.
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*/
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template < typename TriMeshType, class ScalarType>
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bool IntersectionRayMesh(
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/* Input Mesh */ TriMeshType * m,
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/* Ray */ const Line3<ScalarType> & ray,
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/* Intersect Point */ Point3<ScalarType> & hitPoint)
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{
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//typedef typename TriMeshType::FaceContainer FaceContainer;
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typename TriMeshType::FaceIterator fi;
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bool hit=false;
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if(m==0) return false;
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//TriMeshType::FaceIterator fi;
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//std::vector<TriMeshType::FaceType*>::iterator fi;
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ScalarType bar1,bar2,dist;
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Point3<ScalarType> p1;
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Point3<ScalarType> p2;
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Point3<ScalarType> p3;
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for(fi = m->face.begin(); fi != m->face.end(); ++fi)
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{
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p1=vcg::Point3<ScalarType>( (*fi).P(0).X() ,(*fi).P(0).Y(),(*fi).P(0).Z() );
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p2=vcg::Point3<ScalarType>( (*fi).P(1).X() ,(*fi).P(1).Y(),(*fi).P(1).Z() );
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p3=vcg::Point3<ScalarType>( (*fi).P(2).X() ,(*fi).P(2).Y(),(*fi).P(2).Z() );
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if(Intersection<ScalarType>(ray,p1,p2,p3,bar1,bar2,dist))
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{
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hitPoint= p1*(1-bar1-bar2) + p2*bar1 + p3*bar2;
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hit=true;
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}
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}
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return hit;
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}
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/**
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Compute the intersection between a mesh and a ball.
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given a mesh return a new mesh made by a copy of all the faces entirely includeded in the ball plus
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new faces created by refining the ones intersected by the ball border.
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It works by recursively splitting the triangles that cross the border, as long as their area is greater than
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a given value tol. If no value is provided, 1/10^5*2*pi*radius is used
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NOTE: the returned mesh is a triangle soup
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*/
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template < typename TriMeshType, class ScalarType>
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void IntersectionBallMesh( TriMeshType & m, const vcg::Sphere3<ScalarType> &ball, TriMeshType & res,
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float tol = 0){
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typename TriMeshType::VertexIterator v0,v1,v2;
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typename TriMeshType::FaceIterator fi;
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std::vector<typename TriMeshType:: FaceType*> closests;
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vcg::Point3<ScalarType> witness;
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std::pair<ScalarType, ScalarType> info;
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if(tol == 0) tol = M_PI * ball.Radius() * ball.Radius() / 100000;
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for(fi = m.face.begin(); fi != m.face.end(); ++fi)
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if(!(*fi).IsD() && IntersectionSphereTriangle<ScalarType>(ball ,(*fi), witness , &info))
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closests.push_back(&(*fi));
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res.Clear();
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SubSet(res,closests);
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int i =0;
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while(i<res.fn){
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bool allIn = ( ball.IsIn(res.face[i].P(0)) && ball.IsIn(res.face[i].P(1))&&ball.IsIn(res.face[i].P(2)));
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if( IntersectionSphereTriangle<ScalarType>(ball ,res.face[i], witness , &info) && !allIn){
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if(vcg::DoubleArea(res.face[i]) > tol)
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{
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// split the face res.face[i] in four, add the four new faces to the mesh and delete the face res.face[i]
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v0 = vcg::tri::Allocator<TriMeshType>::AddVertices(res,3);
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fi = vcg::tri::Allocator<TriMeshType>::AddFaces(res,4);
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v1 = v0; ++v1;
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v2 = v1; ++v2;
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(*v0).P() = (res.face[i].P(0) + res.face[i].P(1))*0.5;
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(*v1).P() = (res.face[i].P(1) + res.face[i].P(2))*0.5;
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(*v2).P() = (res.face[i].P(2) + res.face[i].P(0))*0.5;
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(*fi).V(0) = res.face[i].V(0);
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(*fi).V(1) = &(*v0);
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(*fi).V(2) = &(*v2);
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++fi;
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(*fi).V(0) = res.face[i].V(1);
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(*fi).V(1) = &(*v1);
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(*fi).V(2) = &(*v0);
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++fi;
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(*fi).V(0) = &(*v0);
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(*fi).V(1) = &(*v1);
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(*fi).V(2) = &(*v2);
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++fi;
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(*fi).V(0) = &(*v2);
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(*fi).V(1) = &(*v1);
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(*fi).V(2) = res.face[i].V(2) ;
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vcg::tri::Allocator<TriMeshType>::DeleteFace(res,res.face[i]);
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}
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}// there was no intersection with the boundary
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if(info.first > 0.0) // closest point - radius. If >0 is outside
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vcg::tri::Allocator<TriMeshType>::DeleteFace(res,res.face[i]);
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++i;
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}
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}
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template < typename TriMeshType, class ScalarType, class IndexingType>
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void IntersectionBallMesh( IndexingType * grid, TriMeshType & m, const vcg::Sphere3<ScalarType> &ball, TriMeshType & res,
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float tol = 0){
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typename TriMeshType::VertexIterator v0,v1,v2;
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typename std::vector<typename TriMeshType::FacePointer >::iterator cfi;
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typename TriMeshType::FaceIterator fi;
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std::vector<typename TriMeshType:: FaceType*> closestsF,closests;
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vcg::Point3<ScalarType> witness;
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std::vector<vcg::Point3<ScalarType> > witnesses;
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std::vector<ScalarType> distances;
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std::pair<ScalarType, ScalarType> info;
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if(tol == 0) tol = M_PI * ball.Radius() * ball.Radius() / 100000;
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vcg::tri::GetInSphereFace(m,*grid, ball.Center(), ball.Radius(),closestsF,distances,witnesses);
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for(cfi =closestsF.begin(); cfi != closestsF.end(); ++cfi)
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if(!(**cfi).IsD() && IntersectionSphereTriangle<ScalarType>(ball ,(**cfi), witness , &info))
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closests.push_back(&(**cfi));
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res.Clear();
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SubSet(res,closests);
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int i =0;
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while(i<res.fn){
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bool allIn = ( ball.IsIn(res.face[i].P(0)) && ball.IsIn(res.face[i].P(1))&&ball.IsIn(res.face[i].P(2)));
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if( IntersectionSphereTriangle<ScalarType>(ball ,res.face[i], witness , &info) && !allIn){
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if(vcg::DoubleArea(res.face[i]) > tol)
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{
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// split the face res.face[i] in four, add the four new faces to the mesh and delete the face res.face[i]
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v0 = vcg::tri::Allocator<TriMeshType>::AddVertices(res,3);
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fi = vcg::tri::Allocator<TriMeshType>::AddFaces(res,4);
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v1 = v0; ++v1;
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v2 = v1; ++v2;
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(*v0).P() = (res.face[i].P(0) + res.face[i].P(1))*0.5;
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(*v1).P() = (res.face[i].P(1) + res.face[i].P(2))*0.5;
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(*v2).P() = (res.face[i].P(2) + res.face[i].P(0))*0.5;
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(*fi).V(0) = res.face[i].V(0);
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(*fi).V(1) = &(*v0);
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(*fi).V(2) = &(*v2);
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++fi;
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(*fi).V(0) = res.face[i].V(1);
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(*fi).V(1) = &(*v1);
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(*fi).V(2) = &(*v0);
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++fi;
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(*fi).V(0) = &(*v0);
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(*fi).V(1) = &(*v1);
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(*fi).V(2) = &(*v2);
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++fi;
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(*fi).V(0) = &(*v2);
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(*fi).V(1) = &(*v1);
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(*fi).V(2) = res.face[i].V(2) ;
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vcg::tri::Allocator<TriMeshType>::DeleteFace(res,res.face[i]);
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}
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}// there was no intersection with the boundary
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if(info.first > 0.0) // closest point - radius. If >0 is outside
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vcg::tri::Allocator<TriMeshType>::DeleteFace(res,res.face[i]);
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++i;
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}
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}
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/*@}*/
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} // end namespace vcg
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#endif
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