610 lines
15 KiB
C++
610 lines
15 KiB
C++
/****************************************************************************
|
|
* VCGLib o o *
|
|
* Visual and Computer Graphics Library o o *
|
|
* _ O _ *
|
|
* Copyright(C) 2004 \/)\/ *
|
|
* Visual Computing Lab /\/| *
|
|
* ISTI - Italian National Research Council | *
|
|
* \ *
|
|
* All rights reserved. *
|
|
* *
|
|
* This program is free software; you can redistribute it and/or modify *
|
|
* it under the terms of the GNU General Public License as published by *
|
|
* the Free Software Foundation; either version 2 of the License, or *
|
|
* (at your option) any later version. *
|
|
* *
|
|
* This program is distributed in the hope that it will be useful, *
|
|
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
|
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
|
* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
|
|
* for more details. *
|
|
* *
|
|
****************************************************************************/
|
|
|
|
#ifndef __VCG_DECIMATION_TRIFLIP
|
|
#define __VCG_DECIMATION_TRIFLIP
|
|
|
|
#include <vcg/complex/local_optimization.h>
|
|
#include <vcg/simplex/face/topology.h>
|
|
#include <vcg/space/triangle3.h>
|
|
|
|
namespace vcg
|
|
{
|
|
namespace tri
|
|
{
|
|
/** \addtogroup trimesh */
|
|
/* @{ */
|
|
|
|
/*!
|
|
* This Class is specialization of LocalModification for the edge flip
|
|
* It wraps the atomic operation EdgeFlip to be used in a optimization routine.
|
|
* Note that it has knowledge of the heap of the class LocalOptimization because
|
|
* it is responsible of updating it after a flip has been performed
|
|
* This is the simplest edge flipping class.
|
|
* It flips an edge only if two adjacent faces are coplanar and the
|
|
* quality of the faces improves after the flip.
|
|
*/
|
|
template <class TRIMESH_TYPE, class MYTYPE,
|
|
typename TRIMESH_TYPE::ScalarType (*QualityFunc)(
|
|
Point3<typename TRIMESH_TYPE::ScalarType> const & p0,
|
|
Point3<typename TRIMESH_TYPE::ScalarType> const & p1,
|
|
Point3<typename TRIMESH_TYPE::ScalarType> const & p2) = Quality>
|
|
class PlanarEdgeFlip :
|
|
public LocalOptimization< TRIMESH_TYPE>::LocModType
|
|
{
|
|
protected:
|
|
typedef typename TRIMESH_TYPE::FaceType FaceType;
|
|
typedef typename TRIMESH_TYPE::FacePointer FacePointer;
|
|
typedef typename TRIMESH_TYPE::FaceIterator FaceIterator;
|
|
typedef typename TRIMESH_TYPE::VertexType VertexType;
|
|
typedef typename TRIMESH_TYPE::ScalarType ScalarType;
|
|
typedef typename TRIMESH_TYPE::VertexPointer VertexPointer;
|
|
typedef typename TRIMESH_TYPE::CoordType CoordType;
|
|
typedef vcg::face::Pos<FaceType> PosType;
|
|
typedef typename LocalOptimization<TRIMESH_TYPE>::HeapElem HeapElem;
|
|
typedef typename LocalOptimization<TRIMESH_TYPE>::HeapType HeapType;
|
|
|
|
/*!
|
|
* the pos of the flipping
|
|
*/
|
|
PosType _pos;
|
|
|
|
/*!
|
|
* priority in the heap
|
|
*/
|
|
ScalarType _priority;
|
|
|
|
/*!
|
|
* Mark for updating
|
|
*/
|
|
int _localMark;
|
|
|
|
/*!
|
|
* mark for up_dating
|
|
*/
|
|
static int& GlobalMark()
|
|
{
|
|
static int im = 0;
|
|
return im;
|
|
}
|
|
|
|
static void Insert(HeapType& heap, PosType& p, int mark)
|
|
{
|
|
if(!p.IsBorder() && p.F()->IsW() && p.FFlip()->IsW()) {
|
|
MYTYPE* newflip = new MYTYPE(p, mark);
|
|
heap.push_back(HeapElem(newflip));
|
|
std::push_heap(heap.begin(), heap.end());
|
|
}
|
|
}
|
|
|
|
public:
|
|
/*!
|
|
* Default constructor
|
|
*/
|
|
inline PlanarEdgeFlip()
|
|
{
|
|
}
|
|
|
|
|
|
/*!
|
|
* Constructor with <I>pos</I> type
|
|
*/
|
|
inline PlanarEdgeFlip(PosType pos, int mark)
|
|
{
|
|
_pos = pos;
|
|
_localMark = mark;
|
|
_priority = this->ComputePriority();
|
|
}
|
|
|
|
|
|
/*!
|
|
* Copy Constructor
|
|
*/
|
|
inline PlanarEdgeFlip(const PlanarEdgeFlip &par)
|
|
{
|
|
_pos = par.GetPos();
|
|
_localMark = par.GetMark();
|
|
_priority = par.Priority();
|
|
}
|
|
|
|
|
|
/*!
|
|
*/
|
|
~PlanarEdgeFlip()
|
|
{
|
|
}
|
|
|
|
|
|
/*!
|
|
* Parameter
|
|
*/
|
|
static ScalarType &CoplanarAngleThresholdDeg()
|
|
{
|
|
static ScalarType _CoplanarAngleThresholdDeg = 0.01f;
|
|
return _CoplanarAngleThresholdDeg;
|
|
}
|
|
|
|
inline PosType GetPos() const
|
|
{
|
|
return _pos;
|
|
}
|
|
|
|
inline int GetMark()const
|
|
{
|
|
return _localMark;
|
|
}
|
|
|
|
|
|
/*!
|
|
* Return the LocalOptimization type
|
|
*/
|
|
ModifierType IsOfType()
|
|
{
|
|
return TriEdgeFlipOp;
|
|
}
|
|
|
|
|
|
/*!
|
|
* Check if the pos is updated
|
|
*/
|
|
bool IsUpToDate()
|
|
{
|
|
int lastMark = _pos.F()->V(0)->IMark();
|
|
lastMark = std::max<int>(lastMark, _pos.F()->V(1)->IMark());
|
|
lastMark = std::max<int>(lastMark, _pos.F()->V(2)->IMark());
|
|
|
|
return ( _localMark >= lastMark );
|
|
}
|
|
|
|
/*!
|
|
*
|
|
Check if this flipping operation can be performed.
|
|
It is a topological and geometrical check.
|
|
*/
|
|
virtual bool IsFeasible()
|
|
{
|
|
if(!vcg::face::CheckFlipEdge(*this->_pos.F(), this->_pos.E()))
|
|
return false;
|
|
|
|
if( math::ToDeg( Angle(_pos.FFlip()->cN(), _pos.F()->cN()) ) > CoplanarAngleThresholdDeg() )
|
|
return false;
|
|
|
|
CoordType v0, v1, v2, v3;
|
|
int i = _pos.E();
|
|
|
|
v0 = _pos.F()->P0(i);
|
|
v1 = _pos.F()->P1(i);
|
|
v2 = _pos.F()->P2(i);
|
|
v3 = _pos.F()->FFp(i)->P2(_pos.F()->FFi(i));
|
|
|
|
// Take the parallelogram formed by the adjacent faces of edge
|
|
// If a corner of the parallelogram on extreme of edge to flip is >= 180
|
|
// the flip produce two identical faces - avoid this
|
|
if( (Angle(v2 - v0, v1 - v0) + Angle(v3 - v0, v1 - v0) >= M_PI) ||
|
|
(Angle(v2 - v1, v0 - v1) + Angle(v3 - v1, v0 - v1) >= M_PI))
|
|
return false;
|
|
|
|
// if any of two faces adj to edge in non writable, the flip is unfeasible
|
|
if(!_pos.F()->IsW() || !_pos.F()->FFp(i)->IsW())
|
|
return false;
|
|
|
|
return true;
|
|
}
|
|
|
|
/*!
|
|
* Compute the priority of this optimization
|
|
*/
|
|
/*
|
|
1
|
|
/|\
|
|
/ | \
|
|
2 | 3
|
|
\ | /
|
|
\|/
|
|
0
|
|
*/
|
|
ScalarType ComputePriority()
|
|
{
|
|
CoordType v0, v1, v2, v3;
|
|
int i = _pos.E();
|
|
v0 = _pos.F()->P0(i);
|
|
v1 = _pos.F()->P1(i);
|
|
v2 = _pos.F()->P2(i);
|
|
v3 = _pos.F()->FFp(i)->P2(_pos.F()->FFi(i));
|
|
|
|
ScalarType Qa = QualityFunc(v0, v1, v2);
|
|
ScalarType Qb = QualityFunc(v0, v3, v1);
|
|
|
|
ScalarType QaAfter = QualityFunc(v1, v2, v3);
|
|
ScalarType QbAfter = QualityFunc(v0, v3, v2);
|
|
|
|
// < 0 if the average quality of faces improves after flip
|
|
_priority = (Qa + Qb - QaAfter - QbAfter) / (ScalarType)2.0;
|
|
|
|
return _priority;
|
|
}
|
|
|
|
/*!
|
|
* Return the priority of this optimization
|
|
*/
|
|
virtual ScalarType Priority() const
|
|
{
|
|
return _priority;
|
|
}
|
|
|
|
/*!
|
|
* Execute the flipping of the edge
|
|
*/
|
|
void Execute(TRIMESH_TYPE &m)
|
|
{
|
|
int i = _pos.E();
|
|
int j = _pos.F()->FFi(i);
|
|
FacePointer f1 = _pos.F();
|
|
FacePointer f2 = _pos.F()->FFp(i);
|
|
|
|
vcg::face::FlipEdge(*_pos.F(), _pos.E());
|
|
|
|
// avoid texture coordinates swap after flip
|
|
if(tri::HasPerWedgeTexCoord(m)) {
|
|
f2->WT((j + 1) % 3) = f1->WT((i + 2) % 3);
|
|
f1->WT((i + 1) % 3) = f2->WT((j + 2) % 3);
|
|
}
|
|
}
|
|
|
|
/*!
|
|
*/
|
|
const char* Info(TRIMESH_TYPE &m)
|
|
{
|
|
static char dump[60];
|
|
sprintf(dump,"%d -> %d %g\n", _pos.F()->V(0)-&m.vert[0], _pos.F()->V(1)-&m.vert[0],-_priority);
|
|
return dump;
|
|
}
|
|
|
|
/*!
|
|
*/
|
|
static void Init(TRIMESH_TYPE &mesh, HeapType &heap)
|
|
{
|
|
heap.clear();
|
|
FaceIterator fi;
|
|
for(fi = mesh.face.begin(); fi != mesh.face.end(); ++fi) {
|
|
if(!(*fi).IsD() && (*fi).IsW()) {
|
|
for(unsigned int i = 0; i < 3; i++) {
|
|
if( !(*fi).IsB(i) && !((*fi).FFp(i)->IsD()) && (*fi).FFp(i)->IsW() ) {
|
|
if((*fi).V1(i) - (*fi).V0(i) > 0) {
|
|
PosType p(&*fi, i);
|
|
Insert(heap, p, IMark(mesh));
|
|
}
|
|
//heap.push_back( HeapElem( new MYTYPE(PosType(&*fi, i), mesh.IMark() )) );
|
|
} //endif
|
|
} //endfor
|
|
}
|
|
} //endfor
|
|
}
|
|
|
|
/*!
|
|
*/
|
|
virtual void UpdateHeap(HeapType &heap)
|
|
{
|
|
GlobalMark()++;
|
|
|
|
// after flip, the new edge just created is the next edge
|
|
int flipped = (_pos.E() + 1) % 3;
|
|
|
|
PosType pos(_pos.F(), flipped);
|
|
|
|
pos.F()->V(0)->IMark() = GlobalMark();
|
|
pos.F()->V(1)->IMark() = GlobalMark();
|
|
pos.F()->V(2)->IMark() = GlobalMark();
|
|
pos.F()->FFp(flipped)->V2(pos.F()->FFi(flipped))->IMark() = GlobalMark();
|
|
|
|
pos.FlipF(); pos.FlipE();
|
|
Insert(heap, pos, GlobalMark());
|
|
|
|
pos.FlipV(); pos.FlipE();
|
|
Insert(heap, pos, GlobalMark());
|
|
|
|
pos.FlipV(); pos.FlipE();
|
|
pos.FlipF(); pos.FlipE();
|
|
Insert(heap, pos, GlobalMark());
|
|
|
|
pos.FlipV(); pos.FlipE();
|
|
Insert(heap, pos, GlobalMark());
|
|
}
|
|
}; // end of PlanarEdgeFlip class
|
|
|
|
|
|
template <class TRIMESH_TYPE, class MYTYPE>
|
|
class TriEdgeFlip : public PlanarEdgeFlip<TRIMESH_TYPE, MYTYPE>
|
|
{
|
|
protected:
|
|
typedef typename TRIMESH_TYPE::FaceType FaceType;
|
|
typedef typename TRIMESH_TYPE::ScalarType ScalarType;
|
|
typedef typename TRIMESH_TYPE::CoordType CoordType;
|
|
typedef vcg::face::Pos<FaceType> PosType;
|
|
|
|
public:
|
|
/*!
|
|
* Default constructor
|
|
*/
|
|
inline TriEdgeFlip() {}
|
|
|
|
/*!
|
|
* Constructor with <I>pos</I> type
|
|
*/
|
|
inline TriEdgeFlip(const PosType pos, int mark)
|
|
{
|
|
this->_pos = pos;
|
|
this->_localMark = mark;
|
|
this->_priority = ComputePriority();
|
|
}
|
|
|
|
/*!
|
|
* Copy Constructor
|
|
*/
|
|
inline TriEdgeFlip(const TriEdgeFlip &par)
|
|
{
|
|
this->_pos = par.GetPos();
|
|
this->_localMark = par.GetMark();
|
|
this->_priority = par.Priority();
|
|
}
|
|
|
|
|
|
ScalarType ComputePriority()
|
|
{
|
|
/*
|
|
1
|
|
/|\
|
|
/ | \
|
|
2 | 3
|
|
\ | /
|
|
\|/
|
|
0
|
|
*/
|
|
CoordType v0, v1, v2, v3;
|
|
int i = this->_pos.E();
|
|
v0 = this->_pos.F()->P0(i);
|
|
v1 = this->_pos.F()->P1(i);
|
|
v2 = this->_pos.F()->P2(i);
|
|
v3 = this->_pos.F()->FFp(i)->P2(this->_pos.F()->FFi(i));
|
|
|
|
// if the sum of angles in v2 e v3 is > 180, then the triangle
|
|
// pair is not a delaunay triangulation
|
|
ScalarType alpha = math::Abs(Angle(v0 - v2, v1 - v2));
|
|
ScalarType beta = math::Abs(Angle(v0 - v3, v1 - v3));
|
|
this->_priority = 180 - math::ToDeg((alpha + beta));
|
|
return this->_priority;
|
|
}
|
|
};
|
|
|
|
|
|
// This kind of flip minimize the variance of number of incident faces
|
|
// on the vertices of two faces involved in the flip
|
|
template <class TRIMESH_TYPE, class MYTYPE>
|
|
class TopoEdgeFlip : public PlanarEdgeFlip<TRIMESH_TYPE, MYTYPE>
|
|
{
|
|
protected:
|
|
typedef typename TRIMESH_TYPE::VertexPointer VertexPointer;
|
|
|
|
typedef typename TRIMESH_TYPE::FaceType FaceType;
|
|
typedef typename TRIMESH_TYPE::FacePointer FacePointer;
|
|
typedef typename TRIMESH_TYPE::ScalarType ScalarType;
|
|
typedef typename TRIMESH_TYPE::CoordType CoordType;
|
|
typedef vcg::face::Pos<FaceType> PosType;
|
|
|
|
typedef typename LocalOptimization<TRIMESH_TYPE>::HeapElem HeapElem;
|
|
typedef typename LocalOptimization<TRIMESH_TYPE>::HeapType HeapType;
|
|
|
|
typedef typename TRIMESH_TYPE::FaceIterator FaceIterator;
|
|
typedef typename TRIMESH_TYPE::VertexIterator VertexIterator;
|
|
|
|
public:
|
|
/*!
|
|
* Default constructor
|
|
*/
|
|
inline TopoEdgeFlip() {}
|
|
|
|
/*!
|
|
* Constructor with <I>pos</I> type
|
|
*/
|
|
inline TopoEdgeFlip(const PosType pos, int mark)
|
|
{
|
|
this->_pos = pos;
|
|
this->_localMark = mark;
|
|
this->_priority = ComputePriority();
|
|
}
|
|
|
|
/*!
|
|
* Copy Constructor
|
|
*/
|
|
inline TopoEdgeFlip(const TopoEdgeFlip &par)
|
|
{
|
|
this->_pos = par.GetPos();
|
|
this->_localMark = par.GetMark();
|
|
this->_priority = par.Priority();
|
|
}
|
|
|
|
|
|
ScalarType ComputePriority()
|
|
{
|
|
/*
|
|
1
|
|
/|\
|
|
/ | \
|
|
2 | 3
|
|
\ | /
|
|
\|/
|
|
0
|
|
*/
|
|
VertexPointer v0, v1, v2, v3;
|
|
int i = this->_pos.E();
|
|
v0 = this->_pos.F()->V0(i);
|
|
v1 = this->_pos.F()->V1(i);
|
|
v2 = this->_pos.F()->V2(i);
|
|
v3 = this->_pos.F()->FFp(i)->V2(this->_pos.F()->FFi(i));
|
|
|
|
// This kind of flip minimize the variance of number of incident faces
|
|
// on the vertices of two faces involved in the flip
|
|
|
|
ScalarType avg = (v0->Q() + v1->Q() + v2->Q() + v3->Q()) / 4.0;
|
|
|
|
ScalarType varbefore = (powf(v0->Q() - avg, 2.0) +
|
|
powf(v1->Q() - avg, 2.0) +
|
|
powf(v2->Q() - avg, 2.0) +
|
|
powf(v3->Q() - avg, 2.0)) / 4.0;
|
|
|
|
ScalarType varafter = (powf(v0->Q() - 1 - avg, 2.0) +
|
|
powf(v1->Q() - 1 - avg, 2.0) +
|
|
powf(v2->Q() + 1 - avg, 2.0) +
|
|
powf(v3->Q() + 1 - avg, 2.0)) / 4.0;
|
|
|
|
this->_priority = varafter - varbefore;
|
|
return this->_priority;
|
|
}
|
|
|
|
|
|
/*!
|
|
* Execute the flipping of the edge
|
|
*/
|
|
void Execute(TRIMESH_TYPE &m)
|
|
{
|
|
int i = this->_pos.E();
|
|
FacePointer f1 = this->_pos.F();
|
|
FacePointer f2 = f1->FFp(i);
|
|
int j = f1->FFi(i);
|
|
|
|
// update the number of faces adjacent to vertices
|
|
f1->V0(i)->Q()--;
|
|
f1->V1(i)->Q()--;
|
|
f1->V2(i)->Q()++;
|
|
f2->V2(j)->Q()++;
|
|
|
|
// do the flip
|
|
vcg::face::FlipEdge(*this->_pos.F(), this->_pos.E());
|
|
|
|
// avoid texture coordinates swap after flip
|
|
if (tri::HasPerWedgeTexCoord(m)) {
|
|
f2->WT((j + 1) % 3) = f1->WT((i + 2) % 3);
|
|
f1->WT((i + 1) % 3) = f2->WT((j + 2) % 3);
|
|
}
|
|
}
|
|
|
|
|
|
static void Init(TRIMESH_TYPE &m, HeapType &heap)
|
|
{
|
|
// reset quality field for each vertex
|
|
VertexIterator vi;
|
|
for(vi = m.vert.begin(); vi != m.vert.end(); ++vi)
|
|
if(!(*vi).IsD())
|
|
(*vi).Q() = 0;
|
|
|
|
// for each vertex, put the number of incident faces in quality field
|
|
FaceIterator fi;
|
|
for(fi = m.face.begin(); fi != m.face.end(); ++fi)
|
|
if(!(*fi).IsD())
|
|
for(int i = 0; i < 3; i++)
|
|
(*fi).V(i)->Q()++;
|
|
|
|
TriEdgeFlip<TRIMESH_TYPE, MYTYPE>::Init(m, heap);
|
|
}
|
|
|
|
|
|
void UpdateHeap(HeapType &heap)
|
|
{
|
|
this->GlobalMark()++;
|
|
|
|
VertexPointer v0, v1, v2, v3;
|
|
int flipped = (this->_pos.E() + 1) % 3;
|
|
FacePointer f1 = this->_pos.F();
|
|
FacePointer f2 = this->_pos.F()->FFp(flipped);
|
|
|
|
v0 = f1->V0(flipped);
|
|
v1 = f1->V1(flipped);
|
|
v2 = f1->V2(flipped);
|
|
v3 = f2->V2(f1->FFi(flipped));
|
|
|
|
v0->IMark() = this->GlobalMark();
|
|
v1->IMark() = this->GlobalMark();
|
|
v2->IMark() = this->GlobalMark();
|
|
v3->IMark() = this->GlobalMark();
|
|
|
|
// edges of the first face, except the flipped edge
|
|
for(int i = 0; i < 3; i++) if(i != flipped) {
|
|
PosType newpos(f1, i);
|
|
Insert(heap, newpos, this->GlobalMark());
|
|
}
|
|
|
|
// edges of the second face, except the flipped edge
|
|
for(int i = 0; i < 3; i++) if(i != f1->FFi(flipped)) {
|
|
PosType newpos(f2, i);
|
|
Insert(heap, newpos, this->GlobalMark());
|
|
}
|
|
|
|
// every edge with v0, v1 v3 of f1
|
|
for(int i = 0; i < 3; i++) {
|
|
PosType startpos(f1, i);
|
|
PosType pos(startpos);
|
|
|
|
do { // go to the first border (if there is one)
|
|
pos.NextE();
|
|
} while(pos != startpos && !pos.IsBorder());
|
|
|
|
// if a border is reached, set startpos here
|
|
if(pos.IsBorder())
|
|
startpos = pos;
|
|
|
|
do {
|
|
VertexPointer v = pos.VFlip();
|
|
if(v != v0 && v != v1 && v != v2 && v != v3)
|
|
Insert(heap, pos, this->GlobalMark());
|
|
|
|
pos.NextE();
|
|
} while(pos != startpos && !pos.IsBorder());
|
|
}
|
|
|
|
PosType startpos(f2, (f1->FFi(flipped) + 2) % 3);
|
|
PosType pos(startpos);
|
|
|
|
do { // go to the first border (if there is one)
|
|
pos.NextE();
|
|
} while(pos != startpos && !pos.IsBorder());
|
|
|
|
// if a border is reached, set startpos here
|
|
if(pos.IsBorder())
|
|
startpos = pos;
|
|
|
|
do {
|
|
VertexPointer v = pos.VFlip();
|
|
if(v != v0 && v != v1 && v != v2 && v != v3)
|
|
Insert(heap, pos, this->GlobalMark());
|
|
|
|
pos.NextE();
|
|
} while(pos != startpos && !pos.IsBorder());
|
|
}
|
|
};
|
|
|
|
|
|
} // end of namespace tri
|
|
} // end of namespace vcg
|
|
|
|
#endif
|