1036 lines
29 KiB
C++
1036 lines
29 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 1.41 2006/10/09 20:06:46 cignoni
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Added Remove NonManifoldFace
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Revision 1.40 2006/05/25 09:41:09 cignoni
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missing std and other gcc detected syntax errors
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Revision 1.39 2006/05/16 21:51:07 cignoni
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Redesigned the function for the removal of faces according to their area and edge lenght
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Revision 1.38 2006/05/03 21:40:27 cignoni
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Changed HasMark to HasPerFaceMark(m) and commented some unused internal vars of the class
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Revision 1.37 2006/04/18 07:01:22 zifnab1974
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added a ; how could this ever compile?
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Revision 1.36 2006/04/12 15:08:51 cignoni
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Added ConnectedIterator (should be moved somewhere else)
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Cleaned ConnectedComponents
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Revision 1.35 2006/02/28 16:51:29 ponchio
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Added typename
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Revision 1.34 2006/02/01 15:27:00 cignoni
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Added IsD() test in SelfIntersection
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Revision 1.33 2006/01/27 09:55:25 corsini
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fix signed/unsigned mismatch
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Revision 1.32 2006/01/23 13:33:54 cignoni
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Added a missing vcg::
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Revision 1.31 2006/01/22 17:06:27 cignoni
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vi/fi mismatch in ClipWithBox
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Revision 1.30 2006/01/22 10:07:42 cignoni
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Corrected use of Area with the unambiguous DoubleArea
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Added ClipWithBox function
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Revision 1.29 2006/01/11 15:40:14 cignoni
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Added RemoveDegenerateFace and added its automatic invocation at the end of RemoveDuplicateVertex
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Revision 1.28 2006/01/02 09:49:36 cignoni
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Added some missing std::
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Revision 1.27 2005/12/29 12:27:37 cignoni
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Splitted IsComplexManifold in IsTwoManifoldFace and IsTwoManifoldVertex
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Revision 1.26 2005/12/21 14:15:03 corsini
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Remove printf
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Revision 1.25 2005/12/21 13:09:03 corsini
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Modify genus computation
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Revision 1.24 2005/12/19 15:13:06 corsini
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Fix IsOrientedMesh
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Revision 1.23 2005/12/16 13:13:44 cignoni
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Reimplemented SelfIntersection
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Revision 1.22 2005/12/16 10:54:59 corsini
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Reimplement isOrientedMesh
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Revision 1.21 2005/12/16 10:53:39 corsini
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Take account for deletion in isComplexManifold
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Revision 1.20 2005/12/16 10:51:43 corsini
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Take account for deletion in isRegularMesh
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Revision 1.19 2005/12/15 13:53:13 corsini
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Reimplement isComplexManifold
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Reimplement isRegular
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Revision 1.18 2005/12/14 14:04:35 corsini
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Fix genus computation
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Revision 1.17 2005/12/12 12:11:40 cignoni
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Removed unuseful detectunreferenced
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Revision 1.16 2005/12/04 00:25:00 cignoni
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Changed DegeneratedFaces -> RemoveZeroAreaFaces
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Revision 1.15 2005/12/03 22:34:25 cignoni
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Added missing include and sdt:: (tnx to Mario Latronico)
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Revision 1.14 2005/12/02 00:14:43 cignoni
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Removed some pointer vs iterator issues that prevented gcc compilation
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Revision 1.13 2005/11/22 14:04:10 rita_borgo
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Completed and tested self-intersection routine
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Revision 1.12 2005/11/17 00:41:07 cignoni
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Removed Initialize use updateflags::Clear() instead.
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Revision 1.11 2005/11/16 16:33:23 rita_borgo
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Changed ComputeSelfintersection
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Revision 1.10 2005/11/15 12:16:34 rita_borgo
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Changed DegeneratedFaces, sets the D flags for each faces
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that is found to be degenerated.
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CounEdges and ConnectedComponents check now if a face IsD()
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else for degenerated faces many asserts fail.
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Revision 1.9 2005/11/14 09:28:18 cignoni
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changed access to face functions (border, area)
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removed some typecast warnings
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Revision 1.8 2005/10/11 16:03:40 rita_borgo
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Added new functions belonging to triMeshInfo
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Started the Self-Intersection routine
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Revision 1.7 2005/10/03 15:57:53 rita_borgo
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Alligned with TriMeshInfo Code
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Revision 1.6 2005/01/28 11:59:35 cignoni
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Add std:: to stl containers
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Revision 1.5 2004/09/20 08:37:57 cignoni
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Better Doxygen docs
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Revision 1.4 2004/08/25 15:15:26 ganovelli
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minor changes to comply gcc compiler (typename's and stuff)
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Revision 1.3 2004/07/18 06:55:37 cignoni
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NewUserBit -> NewBitFlag
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Revision 1.2 2004/07/09 15:48:37 tarini
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Added an include (<algorithm>)
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Revision 1.1 2004/06/24 08:03:59 cignoni
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Initial Release
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****************************************************************************/
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#ifndef __VCGLIB_CLEAN
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#define __VCGLIB_CLEAN
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// Standard headers
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#include <map>
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#include <algorithm>
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#include <stack>
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// VCG headers
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#include <vcg/simplex/face/face.h>
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#include <vcg/simplex/face/pos.h>
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#include <vcg/simplex/face/topology.h>
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#include <vcg/complex/trimesh/base.h>
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#include <vcg/complex/trimesh/closest.h>
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#include <vcg/space/index/grid_static_ptr.h>
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#include<vcg/complex/trimesh/allocate.h>
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namespace vcg {
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namespace tri{
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template <class ConnectedMeshType>
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class ConnectedIterator
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{
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public:
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typedef ConnectedMeshType MeshType;
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typedef typename MeshType::VertexType VertexType;
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typedef typename MeshType::VertexPointer VertexPointer;
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typedef typename MeshType::VertexIterator VertexIterator;
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typedef typename MeshType::ScalarType ScalarType;
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typedef typename MeshType::FaceType FaceType;
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typedef typename MeshType::FacePointer FacePointer;
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typedef typename MeshType::FaceIterator FaceIterator;
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typedef typename MeshType::FaceContainer FaceContainer;
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typedef typename vcg::Box3<ScalarType> Box3Type;
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public:
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void operator ++()
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{
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FacePointer fpt=sf.top();
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sf.pop();
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for(int j=0;j<3;++j)
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if( !face::IsBorder(*fpt,j) )
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{
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FacePointer l=fpt->FFp(j);
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if( !mp->IsMarked(l) )
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{
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mp->Mark(l);
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sf.push(l);
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}
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}
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}
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void start(MeshType &m, FacePointer p)
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{
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mp=&m;
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while(!sf.empty()) sf.pop();
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mp->UnMarkAll();
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assert(p);
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assert(!p->IsD());
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mp->Mark(p);
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sf.push(p);
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}
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bool completed() {
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return sf.empty();
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}
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FacePointer operator *()
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{
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return sf.top();
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}
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private:
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std::stack<FacePointer> sf;
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MeshType *mp;
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};
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///
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/** \addtogroup trimesh */
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/*@{*/
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/// Class of static functions to clean/correct/restore meshs.
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template <class CleanMeshType>
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class Clean
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{
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public:
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typedef CleanMeshType MeshType;
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typedef typename MeshType::VertexType VertexType;
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typedef typename MeshType::VertexPointer VertexPointer;
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typedef typename MeshType::VertexIterator VertexIterator;
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typedef typename MeshType::ScalarType ScalarType;
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typedef typename MeshType::FaceType FaceType;
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typedef typename MeshType::FacePointer FacePointer;
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typedef typename MeshType::FaceIterator FaceIterator;
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typedef typename MeshType::FaceContainer FaceContainer;
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typedef typename vcg::Box3<ScalarType> Box3Type;
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typedef GridStaticPtr<FaceType, ScalarType > TriMeshGrid;
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typedef Point3<ScalarType> Point3x;
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//TriMeshGrid gM;
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//FaceIterator fi;
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//FaceIterator gi;
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//vcg::face::Pos<FaceType> he;
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//vcg::face::Pos<FaceType> hei;
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/* classe di confronto per l'algoritmo di eliminazione vertici duplicati*/
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class RemoveDuplicateVert_Compare{
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public:
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inline bool operator()(VertexPointer const &a, VertexPointer const &b)
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{
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return (*a).cP() < (*b).cP();
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}
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};
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/** This function removes all duplicate vertices of the mesh by looking only at their spatial positions.
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Note that it does not update any topology relation that could be affected by this like the VT or TT relation.
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the reason this function is usually performed BEFORE building any topology information.
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*/
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static int RemoveDuplicateVertex( MeshType & m, bool RemoveDegenerateFlag=true) // V1.0
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{
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if(m.vert.size()==0 || m.vn==0) return 0;
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std::map<VertexPointer, VertexPointer> mp;
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int i,j;
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VertexIterator vi;
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int deleted=0;
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int k=0;
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size_t num_vert = m.vert.size();
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std::vector<VertexPointer> perm(num_vert);
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for(vi=m.vert.begin(); vi!=m.vert.end(); ++vi, ++k)
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perm[k] = &(*vi);
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RemoveDuplicateVert_Compare c_obj;
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std::sort(perm.begin(),perm.end(),c_obj);
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j = 0;
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i = j;
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mp[perm[i]] = perm[j];
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++i;
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for(;i!=num_vert;)
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{
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if( (! (*perm[i]).IsD()) &&
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(! (*perm[j]).IsD()) &&
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(*perm[i]).P() == (*perm[j]).cP() )
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{
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VertexPointer t = perm[i];
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mp[perm[i]] = perm[j];
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++i;
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(*t).SetD();
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deleted++;
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}
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else
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{
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j = i;
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++i;
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}
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}
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FaceIterator fi;
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for(fi = m.face.begin(); fi!=m.face.end(); ++fi)
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for(k = 0; k < 3; ++k)
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if( !(*fi).IsD() )
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if( mp.find( (typename MeshType::VertexPointer)(*fi).V(k) ) != mp.end() )
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{
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(*fi).V(k) = &*mp[ (*fi).V(k) ];
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}
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m.vn -= deleted;
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return deleted;
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if(RemoveDegenerateFlag) RemoveDegenerateFace(m);
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}
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/** This function removes that are not referenced by any face. The function updates the vn counter.
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@param m The mesh
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@return The number of removed vertices
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*/
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static int RemoveUnreferencedVertex( MeshType& m, bool DeleteVertexFlag=true) // V1.0
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{
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FaceIterator fi;
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VertexIterator vi;
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int referredBit = VertexType::NewBitFlag();
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int j;
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int deleted = 0;
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for(vi=m.vert.begin();vi!=m.vert.end();++vi)
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(*vi).ClearUserBit(referredBit);
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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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for(j=0;j<3;++j)
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(*fi).V(j)->SetUserBit(referredBit);
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for(vi=m.vert.begin();vi!=m.vert.end();++vi)
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if( (!(*vi).IsD()) && (!(*vi).IsUserBit(referredBit)))
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{
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if(DeleteVertexFlag)
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{
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(*vi).SetD();
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--m.vn;
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}
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++deleted;
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}
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VertexType::DeleteBitFlag(referredBit);
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return deleted;
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}
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/*
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Degenerate faces are faces that are Topologically degenerate,
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i.e. have two or more vertex reference that link the same vertex
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(and not only two vertexes with the same coordinates).
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All Degenerate faces are zero area faces BUT not all zero area faces are degenerate.
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We do not take care of topology because when we have degenerate faces the
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topology calculation functions crash.
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*/
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static int RemoveDegenerateFace(MeshType& m)
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{
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FaceIterator fi;
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int count_fd = 0;
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for(fi=m.face.begin(); fi!=m.face.end();++fi)
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if((*fi).V(0) == (*fi).V(1) ||
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(*fi).V(0) == (*fi).V(2) ||
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(*fi).V(1) == (*fi).V(2) )
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{
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count_fd++;
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fi->SetD();
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m.fn--;
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}
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return count_fd;
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}
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static int RemoveNonManifoldFace(MeshType& m)
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{
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FaceIterator fi;
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int count_fd = 0;
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std::vector<FacePointer> ToDelVec;
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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 ((!IsManifold(*fi,0))||
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(!IsManifold(*fi,1))||
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(!IsManifold(*fi,2)))
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ToDelVec.push_back(&*fi);
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}
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for(int i=0;i<ToDelVec.size();++i)
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{
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FaceType &ff= *ToDelVec[i];
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if ((!IsManifold(ff,0))||
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(!IsManifold(ff,1))||
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(!IsManifold(ff,2)))
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for(int j=0;j<3;++j)
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if(!face::IsBorder<FaceType>(ff,j)) vcg::face::FFDetach<FaceType>(ff,j);
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ff.SetD();
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count_fd++;
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m.fn--;
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}
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return count_fd;
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}
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/*
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The following functions remove faces that are geometrically "bad" according to edges and area criteria.
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They remove the faces that are out of a given range of area or edges (e.g. faces too large or too small, or with edges too short or too long)
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but that could be topologically correct.
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These functions can optionally take into account only the selected faces.
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*/
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template<bool Selected>
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static int RemoveFaceOutOfRangeAreaSel(MeshType& m, ScalarType MinAreaThr=0, ScalarType MaxAreaThr=std::numeric_limits<ScalarType>::max())
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{
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FaceIterator fi;
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int count_fd = 0;
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MinAreaThr*=2;
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MaxAreaThr*=2;
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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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if(!Selected || (*fi).IsS())
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{
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const ScalarType doubleArea=DoubleArea<FaceType>(*fi);
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if((doubleArea<=MinAreaThr) || (doubleArea>=MaxAreaThr) )
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{
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count_fd++;
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fi->SetD();
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m.fn--;
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}
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}
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return count_fd;
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}
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template<bool Selected>
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static int RemoveFaceOutOfRangeEdgeSel( MeshType& m, ScalarType MinEdgeThr=0, ScalarType MaxEdgeThr=std::numeric_limits<ScalarType>::max())
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{
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FaceIterator fi;
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int count_fd = 0;
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MinEdgeThr=MinEdgeThr*MinEdgeThr;
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MaxEdgeThr=MaxEdgeThr*MaxEdgeThr;
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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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if(!Selected || (*fi).IsS())
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{
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for(unsigned int i=0;i<3;++i)
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{
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const ScalarType squaredEdge=SquaredDistance((*fi).V0(i)->cP(),(*fi).V1(i)->cP());
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if((squaredEdge<=MinEdgeThr) || (squaredEdge>=MaxEdgeThr) )
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{
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count_fd++;
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fi->SetD();
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m.fn--;
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break; // skip the rest of the edges of the tri
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}
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}
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}
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return count_fd;
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}
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// alias for the old style. Kept for backward compatibility
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static int RemoveZeroAreaFace(MeshType& m) { return RemoveFaceOutOfRangeArea(m);}
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// Aliases for the functions that do not look at selection
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static int RemoveFaceOutOfRangeArea(MeshType& m, ScalarType MinAreaThr=0, ScalarType MaxAreaThr=std::numeric_limits<ScalarType>::max())
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{
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return RemoveFaceOutOfRangeAreaSel<false>(m,MinAreaThr,MaxAreaThr);
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}
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static int RemoveFaceOutOfRangeEdge(MeshType& m, ScalarType MinEdgeThr=0, ScalarType MaxEdgeThr=std::numeric_limits<ScalarType>::max())
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{
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return RemoveFaceOutOfRangeEdgeSel<false>(m,MinEdgeThr,MaxEdgeThr);
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}
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static int ClipWithBox( MeshType & m, Box3Type &bb)
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{
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FaceIterator fi;
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VertexIterator vi;
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for (vi = m.vert.begin(); vi != m.vert.end(); ++vi) if(!(*vi).IsD())
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{
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if(!bb.IsIn((*vi).P()) )
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{
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(*vi).SetD();
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--m.vn;
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}
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}
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for (fi = m.face.begin(); fi != m.face.end(); ++fi) if(!(*fi).IsD())
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{
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if( (*fi).V(0)->IsD() ||
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(*fi).V(1)->IsD() ||
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(*fi).V(2)->IsD() )
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{
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(*fi).SetD();
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--m.fn;
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}
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}
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return m.vn;
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}
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/**
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* Check if the mesh is a manifold.
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*
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* First of all, for each face the FF condition is checked.
|
|
* Then, a second test is performed: for each vertex the
|
|
* number of face found have to be the same of the number of
|
|
* face found with the VF walk trough.
|
|
*/
|
|
static bool IsTwoManifoldFace( MeshType & m )
|
|
{
|
|
bool flagManifold = true;
|
|
|
|
FaceIterator fi;
|
|
|
|
// First Test
|
|
assert(m.HasFFTopology());
|
|
for (fi = m.face.begin(); fi != m.face.end(); ++fi)
|
|
{
|
|
if (!fi->IsD())
|
|
{
|
|
if ((!IsManifold(*fi,0))||
|
|
(!IsManifold(*fi,1))||
|
|
(!IsManifold(*fi,2)))
|
|
{
|
|
flagManifold = false;
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
return flagManifold;
|
|
}
|
|
|
|
static bool IsTwoManifoldVertex( MeshType & m )
|
|
{
|
|
VertexIterator vi;
|
|
bool flagManifold = true;
|
|
assert(m.HasVFTopology());
|
|
|
|
face::VFIterator<FaceType> vfi;
|
|
int starSizeFF;
|
|
int starSizeVF;
|
|
for (vi = m.vert.begin(); vi != m.vert.end(); ++vi)
|
|
{
|
|
if (!vi->IsD())
|
|
{
|
|
face::VFIterator<FaceType> vfi(&*vi);
|
|
face::Pos<FaceType> pos((*vi).VFp(), &*vi);
|
|
|
|
starSizeFF = pos.StarSize();
|
|
|
|
starSizeVF = 0;
|
|
while(!vfi.End())
|
|
{
|
|
++vfi;
|
|
starSizeVF++;
|
|
}
|
|
|
|
if (starSizeFF != starSizeVF)
|
|
{
|
|
flagManifold = false;
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
return flagManifold;
|
|
}
|
|
|
|
static void CountEdges( MeshType & m, int &count_e, int &boundary_e )
|
|
{
|
|
FaceIterator fi;
|
|
vcg::face::Pos<FaceType> he;
|
|
vcg::face::Pos<FaceType> hei;
|
|
bool counted =false;
|
|
for(fi=m.face.begin();fi!=m.face.end();fi++)
|
|
{
|
|
if(!((*fi).IsD()))
|
|
{
|
|
(*fi).SetS();
|
|
count_e +=3; //assume that we have to increase the number of edges with three
|
|
for(int j=0; j<3; j++)
|
|
{
|
|
if (face::IsBorder(*fi,j)) //If this edge is a border edge
|
|
boundary_e++; // then increase the number of boundary edges
|
|
else if (IsManifold(*fi,j))//If this edge is manifold
|
|
{
|
|
if((*fi).FFp(j)->IsS()) //If the face on the other side of the edge is already selected
|
|
count_e--; // we counted one edge twice
|
|
}
|
|
else//We have a non-manifold edge
|
|
{
|
|
hei.Set(&(*fi), j , fi->V(j));
|
|
he=hei;
|
|
he.NextF();
|
|
while (he.f!=hei.f)// so we have to iterate all faces that are connected to this edge
|
|
{
|
|
if (he.f->IsS())// if one of the other faces was already visited than this edge was counted already.
|
|
{
|
|
counted=true;
|
|
break;
|
|
}
|
|
else
|
|
{
|
|
he.NextF();
|
|
}
|
|
}
|
|
if (counted)
|
|
{
|
|
count_e--;
|
|
counted=false;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
static int CountHoles( MeshType & m)
|
|
{
|
|
int numholes=0;
|
|
int numholev=0;
|
|
int BEdges=0;
|
|
FaceIterator fi;
|
|
FaceIterator gi;
|
|
vcg::face::Pos<FaceType> he;
|
|
vcg::face::Pos<FaceType> hei;
|
|
|
|
std::vector< std::vector<Point3x> > holes; //indices of vertices
|
|
|
|
for(fi=m.face.begin();fi!=m.face.end();++fi)
|
|
(*fi).ClearS();
|
|
gi=m.face.begin(); fi=gi;
|
|
|
|
for(fi=m.face.begin();fi!=m.face.end();fi++)//for all faces do
|
|
{
|
|
for(int j=0;j<3;j++)//for all edges
|
|
{
|
|
if(fi->V(j)->IsS()) continue;
|
|
|
|
if(face::IsBorder(*fi,j))//found an unvisited border edge
|
|
{
|
|
he.Set(&(*fi),j,fi->V(j)); //set the face-face iterator to the current face, edge and vertex
|
|
std::vector<Point3x> hole; //start of a new hole
|
|
hole.push_back(fi->P(j)); // including the first vertex
|
|
numholev++;
|
|
he.v->SetS(); //set the current vertex as selected
|
|
he.NextB(); //go to the next boundary edge
|
|
|
|
|
|
while(fi->V(j) != he.v)//will we do not encounter the first boundary edge.
|
|
{
|
|
Point3x newpoint = he.v->P(); //select its vertex.
|
|
if(he.v->IsS())//check if this vertex was selected already, because then we have an additional hole.
|
|
{
|
|
//cut and paste the additional hole.
|
|
std::vector<Point3x> hole2;
|
|
int index = static_cast<int>(find(hole.begin(),hole.end(),newpoint)
|
|
- hole.begin());
|
|
for(unsigned int i=index; i<hole.size(); i++)
|
|
hole2.push_back(hole[i]);
|
|
|
|
hole.resize(index);
|
|
if(hole2.size()!=0) //annoying in degenerate cases
|
|
holes.push_back(hole2);
|
|
}
|
|
hole.push_back(newpoint);
|
|
numholev++;
|
|
he.v->SetS(); //set the current vertex as selected
|
|
he.NextB(); //go to the next boundary edge
|
|
}
|
|
holes.push_back(hole);
|
|
}
|
|
}
|
|
}
|
|
return static_cast<int>(holes.size());
|
|
}
|
|
|
|
static int BorderEdges( MeshType & m, int numholes)
|
|
{
|
|
int BEdges = 0;
|
|
for(int i=0; i<numholes; i++)
|
|
{
|
|
if(i==numholes-1)
|
|
BEdges++;
|
|
else
|
|
BEdges++;
|
|
}
|
|
return BEdges;
|
|
|
|
}
|
|
|
|
|
|
static int DeleteConnectedComponent(MeshType &m,FacePointer fp)
|
|
{
|
|
int deleted=0;
|
|
return deleted;
|
|
}
|
|
|
|
/*
|
|
Compute the set of connected components of a given mesh
|
|
it fills a vector of pair < int , faceptr > with, for each connecteed component its size and a represnant
|
|
*/
|
|
static int ConnectedComponents(MeshType &m)
|
|
{
|
|
std::vector< std::pair<int,FacePointer> > CCV;
|
|
return ConnectedComponents(m,CCV);
|
|
}
|
|
static int ConnectedComponents(MeshType &m, std::vector< std::pair<int,FacePointer> > &CCV)
|
|
{
|
|
FaceIterator fi;
|
|
FacePointer l;
|
|
CCV.clear();
|
|
|
|
for(fi=m.face.begin();fi!=m.face.end();++fi)
|
|
(*fi).ClearS();
|
|
|
|
int Compindex=0;
|
|
std::stack<FacePointer> sf;
|
|
FacePointer fpt=&*(m.face.begin());
|
|
for(fi=m.face.begin();fi!=m.face.end();++fi)
|
|
{
|
|
if(!((*fi).IsD()) && !(*fi).IsS())
|
|
{
|
|
(*fi).SetS();
|
|
CCV.push_back(make_pair(0,&*fi));
|
|
sf.push(&*fi);
|
|
while (!sf.empty())
|
|
{
|
|
fpt=sf.top();
|
|
++CCV.back().first;
|
|
sf.pop();
|
|
for(int j=0;j<3;++j)
|
|
{
|
|
if( !face::IsBorder(*fpt,j) )
|
|
{
|
|
l=fpt->FFp(j);
|
|
if( !(*l).IsS() )
|
|
{
|
|
(*l).SetS();
|
|
sf.push(l);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
Compindex++;
|
|
}
|
|
}
|
|
assert(CCV.size()==Compindex);
|
|
return Compindex;
|
|
}
|
|
|
|
|
|
/**
|
|
GENUS.
|
|
|
|
A topologically invariant property of a surface defined as
|
|
the largest number of non-intersecting simple closed curves that can be
|
|
drawn on the surface without separating it.
|
|
|
|
Roughly speaking, it is the number of holes in a surface.
|
|
The genus g of a closed surface, also called the geometric genus, is related to the
|
|
Euler characteristic by the relation $chi$ by $chi==2-2g$.
|
|
|
|
The genus of a connected, orientable surface is an integer representing the maximum
|
|
number of cuttings along closed simple curves without rendering the resultant
|
|
manifold disconnected. It is equal to the number of handles on it.
|
|
|
|
For general polyhedra the <em>Euler Formula</em> is:
|
|
|
|
V + F - E = 2 - 2G - B
|
|
|
|
where V is the number of vertices, F is the number of faces, E is the
|
|
number of edges, G is the genus and B is the number of <em>boundary polygons</em>.
|
|
|
|
The above formula is valid for a mesh with one single connected component.
|
|
By considering multiple connected components the formula becomes:
|
|
|
|
V + F - E = 2C - 2Gs - B
|
|
|
|
where C is the number of connected components and Gs is the sum of
|
|
the genus of all connected components.
|
|
|
|
*/
|
|
static int MeshGenus(MeshType &m, int numholes, int numcomponents, int count_e)
|
|
{
|
|
int V = m.vn;
|
|
int F = m.fn;
|
|
int E = count_e;
|
|
return -((V + F - E + numholes - 2 * numcomponents) / 2);
|
|
}
|
|
|
|
/**
|
|
* Check if the given mesh is regular, semi-regular or irregular.
|
|
*
|
|
* Each vertex of a \em regular mesh has valence 6 except for border vertices
|
|
* which have valence 4.
|
|
*
|
|
* A \em semi-regular mesh is derived from an irregular one applying
|
|
* 1-to-4 subdivision recursively. (not checked for now)
|
|
*
|
|
* All other meshes are \em irregular.
|
|
*/
|
|
static void IsRegularMesh(MeshType &m, bool &Regular, bool &Semiregular)
|
|
{
|
|
// This algorithm requires Vertex-Face topology
|
|
assert(m.HasVFTopology());
|
|
|
|
Regular = true;
|
|
|
|
VertexIterator vi;
|
|
|
|
// for each vertex the number of edges are count
|
|
for (vi = m.vert.begin(); vi != m.vert.end(); ++vi)
|
|
{
|
|
if (!vi->IsD())
|
|
{
|
|
face::Pos<FaceType> he((*vi).VFp(), &*vi);
|
|
face::Pos<FaceType> ht = he;
|
|
|
|
int n=0;
|
|
bool border=false;
|
|
do
|
|
{
|
|
++n;
|
|
ht.NextE();
|
|
if (ht.IsBorder())
|
|
border=true;
|
|
}
|
|
while (ht != he);
|
|
|
|
if (border)
|
|
n = n/2;
|
|
|
|
if ((n != 6)&&(!border && n != 4))
|
|
{
|
|
Regular = false;
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
if (!Regular)
|
|
Semiregular = false;
|
|
else
|
|
{
|
|
// For now we do not account for semi-regularity
|
|
Semiregular = false;
|
|
}
|
|
}
|
|
|
|
static void IsOrientedMesh(MeshType &m, bool &Oriented, bool &Orientable)
|
|
{
|
|
assert(&Oriented != &Orientable);
|
|
// This algorithms requires FF topology
|
|
assert(m.HasFFTopology());
|
|
|
|
Orientable = true;
|
|
Oriented = true;
|
|
|
|
// Ensure that each face is deselected
|
|
FaceIterator fi;
|
|
for (fi = m.face.begin(); fi != m.face.end(); ++fi)
|
|
fi->ClearS();
|
|
|
|
// initialize stack
|
|
std::stack<FacePointer> faces;
|
|
|
|
// for each face of the mesh
|
|
FacePointer fp,fpaux;
|
|
int iaux;
|
|
for (fi = m.face.begin(); fi != m.face.end(); ++fi)
|
|
{
|
|
if (!fi->IsD() && !fi->IsS())
|
|
{
|
|
// each face put in the stack is selected (and oriented)
|
|
fi->SetS();
|
|
faces.push(&(*fi));
|
|
|
|
// empty the stack
|
|
while (!faces.empty())
|
|
{
|
|
fp = faces.top();
|
|
faces.pop();
|
|
|
|
// make consistently oriented the adjacent faces
|
|
for (int j = 0; j < 3; j++)
|
|
{
|
|
// get one of the adjacent face
|
|
fpaux = fp->FFp(j);
|
|
iaux = fp->FFi(j);
|
|
|
|
if (!fpaux->IsD() && fpaux != fp && face::IsManifold<FaceType>(*fp, j))
|
|
{
|
|
if (!CheckOrientation(*fpaux, iaux))
|
|
{
|
|
Oriented = false;
|
|
|
|
if (!fpaux->IsS())
|
|
{
|
|
face::SwapEdge<FaceType,false>(*fpaux, iaux);
|
|
assert(CheckOrientation(*fpaux, iaux));
|
|
}
|
|
else
|
|
{
|
|
Orientable = false;
|
|
break;
|
|
}
|
|
}
|
|
|
|
// put the oriented face into the stack
|
|
|
|
if (!fpaux->IsS())
|
|
{
|
|
fpaux->SetS();
|
|
faces.push(fpaux);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
if (!Orientable) break;
|
|
}
|
|
}
|
|
|
|
static void FlipMesh(MeshType &m)
|
|
{
|
|
for (FaceIterator fi = m.face.begin(); fi != m.face.end(); ++fi)
|
|
face::SwapEdge<FaceType,false>((*fi), 0);
|
|
}
|
|
static bool SelfIntersections(MeshType &m, std::vector<FaceType*> &ret)
|
|
{
|
|
//assert(FaceType::HasMark()); // Needed by the UG
|
|
assert(HasPerFaceMark(m));// Needed by the UG
|
|
Box3< ScalarType> bbox;
|
|
TriMeshGrid gM;
|
|
ret.clear();
|
|
FaceIterator fi;
|
|
int referredBit = FaceType::NewBitFlag();
|
|
|
|
for(fi=m.face.begin();fi!=m.face.end();++fi)
|
|
(*fi).ClearUserBit(referredBit);
|
|
|
|
std::vector<FaceType*> inBox;
|
|
gM.Set(m.face.begin(),m.face.end());
|
|
|
|
for(fi=m.face.begin();fi!=m.face.end();++fi) if(!(*fi).IsD())
|
|
{
|
|
(*fi).SetUserBit(referredBit);
|
|
(*fi).GetBBox(bbox);
|
|
vcg::trimesh::GetInBoxFace(m, gM, bbox,inBox);
|
|
bool Intersected=false;
|
|
typename std::vector<FaceType*>::iterator fib;
|
|
for(fib=inBox.begin();fib!=inBox.end();++fib)
|
|
{
|
|
if(!(*fib)->IsUserBit(referredBit) && (*fib != &*fi) )
|
|
if(TestIntersection(&*fi,*fib)){
|
|
ret.push_back(*fib);
|
|
if(!Intersected) {
|
|
ret.push_back(&*fi);
|
|
Intersected=true;
|
|
}
|
|
}
|
|
}
|
|
inBox.clear();
|
|
}
|
|
|
|
FaceType::DeleteBitFlag(referredBit);
|
|
return (ret.size()>0);
|
|
}
|
|
|
|
|
|
//test real intersection between faces
|
|
static bool TestIntersection(FaceType *f0,FaceType *f1)
|
|
{
|
|
assert((!f0->IsD())&&(!f1->IsD()));
|
|
//no adiacent faces
|
|
if ( (f0!=f1) && (!ShareEdge(f0,f1))
|
|
&& (!ShareVertex(f0,f1)) )
|
|
return (vcg::Intersection<FaceType>((*f0),(*f1)));
|
|
return false;
|
|
}
|
|
|
|
//control if two faces share an edge
|
|
static bool ShareEdge(FaceType *f0,FaceType *f1)
|
|
{
|
|
assert((!f0->IsD())&&(!f1->IsD()));
|
|
for (int i=0;i<3;i++)
|
|
if (f0->FFp(i)==f1)
|
|
return (true);
|
|
|
|
return(false);
|
|
}
|
|
|
|
//control if two faces share a vertex
|
|
static bool ShareVertex(FaceType *f0,FaceType *f1)
|
|
{
|
|
assert((!f0->IsD())&&(!f1->IsD()));
|
|
for (int i=0;i<3;i++)
|
|
for (int j=0;j<3;j++)
|
|
if (f0->V(i)==f1->V(j))
|
|
return (true);
|
|
|
|
return(false);
|
|
}
|
|
|
|
|
|
}; // end class
|
|
/*@}*/
|
|
|
|
} //End Namespace Tri
|
|
} // End Namespace vcg
|
|
#endif
|