/******************************************************************************* * CGoGN: Combinatorial and Geometric modeling with Generic N-dimensional Maps * * version 0.1 * * Copyright (C) 2009-2012, IGG Team, LSIIT, University of Strasbourg * * * * This library is free software; you can redistribute it and/or modify it * * under the terms of the GNU Lesser General Public License as published by the * * Free Software Foundation; either version 2.1 of the License, or (at your * * option) any later version. * * * * This library 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 Lesser General Public License * * for more details. * * * * You should have received a copy of the GNU Lesser General Public License * * along with this library; if not, write to the Free Software Foundation, * * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. * * * * Web site: http://cgogn.unistra.fr/ * * Contact information: cgogn@unistra.fr * * * *******************************************************************************/ #ifndef __3MR_FUNCTORS_PRIMAL__ #define __3MR_FUNCTORS_PRIMAL__ #include #include "Algo/Geometry/centroid.h" namespace CGoGN { namespace Multiresolution { /********************************************************************************* * LOOP BASIC FUNCTIONS *********************************************************************************/ template typename PFP::VEC3 loopOddVertex(typename PFP::MAP& map, const AttributeHandler& position, Dart d1) { Dart d2 = map.phi2(d1) ; Dart d3 = map.phi_1(d1) ; Dart d4 = map.phi_1(d2) ; typename PFP::VEC3 p1 = position[d1] ; typename PFP::VEC3 p2 = position[d2] ; typename PFP::VEC3 p3 = position[d3] ; typename PFP::VEC3 p4 = position[d4] ; p1 *= 3.0 / 8.0 ; p2 *= 3.0 / 8.0 ; p3 *= 1.0 / 8.0 ; p4 *= 1.0 / 8.0 ; return p1 + p2 + p3 + p4 ; } template typename PFP::VEC3 loopEvenVertex(typename PFP::MAP& map, const AttributeHandler& position, Dart d) { map.incCurrentLevel() ; typename PFP::VEC3 np(0) ; unsigned int degree = 0 ; Traversor2VVaE trav(map, d) ; for(Dart it = trav.begin(); it != trav.end(); it = trav.next()) { ++degree ; np += position[it] ; } map.decCurrentLevel() ; float mu = 3.0/8.0 + 1.0/4.0 * cos(2.0 * M_PI / degree) ; mu = (5.0/8.0 - (mu * mu)) / degree ; np *= 8.0/5.0 * mu ; return np ; } /********************************************************************************* * SHW04 BASIC FUNCTIONS : tetrahedral/octahedral meshes *********************************************************************************/ template typename PFP::VEC3 SHW04Vertex(typename PFP::MAP& map, const AttributeHandler& position, Dart d) { typename PFP::VEC3 res(0); if(map.isTetrahedron(d)) { Dart d1 = map.phi1(d) ; Dart d2 = map.phi_1(d); Dart d3 = map.phi_1(map.phi2(d)); typename PFP::VEC3 p = position[d]; typename PFP::VEC3 p1 = position[d1] ; typename PFP::VEC3 p2 = position[d2] ; typename PFP::VEC3 p3 = position[d3] ; p *= -1; p1 *= 17.0 / 3.0; p2 *= 17.0 / 3.0; p3 *= 17.0 / 3.0; res += p + p1 + p2 + p3; res *= 1.0 / 16.0; } else { Dart d1 = map.phi1(d); Dart d2 = map.phi_1(d); Dart d3 = map.phi_1(map.phi2(d)); Dart d4 = map.phi_1(map.phi2(d3)); Dart d5 = map.phi_1(map.phi2(map.phi_1(d))); typename PFP::VEC3 p = position[d]; typename PFP::VEC3 p1 = position[d1] ; typename PFP::VEC3 p2 = position[d2] ; typename PFP::VEC3 p3 = position[d3] ; typename PFP::VEC3 p4 = position[d4] ; typename PFP::VEC3 p5 = position[d5] ; p *= 3.0 / 4.0; p1 *= 1.0 / 6.0; p2 *= 1.0 / 6.0; p3 *= 1.0 / 6.0; p4 *= 7.0 / 12.0; p5 *= 1.0 / 6.0; res += p + p1 + p2 + p3 + p4 + p5; res *= 1.0 / 2.0; } return res; } /********************************************************************************* * BSXW02 BASIC FUNCTIONS : polyhedral meshes *********************************************************************************/ /*******************************MJ96EdgeVertexFunctor************************************************** * FUNCTORS *********************************************************************************/ /* Linear Interpolation *********************************************************************************/ template class LerpVertexVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position ; public: LerpVertexVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { m_map.decCurrentLevel() ; typename PFP::VEC3 p = m_position[d] ; m_map.incCurrentLevel() ; m_position[d] = p ; return false ; } }; template class LerpEdgeVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position ; public: LerpEdgeVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { Dart d1 = m_map.phi2(d); m_map.decCurrentLevel(); Dart d2 = m_map.phi2(d1); typename PFP::VEC3 p = (m_position[d1] + m_position[d2]) * typename PFP::REAL(0.5); m_map.incCurrentLevel(); m_position[d] = p; return false; } } ; template class LerpFaceVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position ; public: LerpFaceVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { Dart df = m_map.phi1(m_map.phi1(d)) ; m_map.decCurrentLevel() ; typename PFP::VEC3 p = Algo::Geometry::faceCentroid(m_map, df, m_position); m_map.incCurrentLevel() ; m_position[d] = p ; return false ; } } ; template class LerpVolumeVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position ; public: LerpVolumeVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { Dart df = m_map.phi_1(m_map.phi2(m_map.phi1(d))) ; m_map.decCurrentLevel() ; typename PFP::VEC3 p = Algo::Geometry::volumeCentroid(m_map, df, m_position); m_map.incCurrentLevel() ; m_position[d] = p ; return false ; } } ; /* SHW04 basic functions : tetrahedral/octahedral meshes *********************************************************************************/ template class SHW04VertexVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position ; public: SHW04VertexVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { if(m_map.isBoundaryVertex(d)) { Dart db = m_map.findBoundaryFaceOfVertex(d); m_map.decCurrentLevel() ; typename PFP::VEC3 np(0) ; unsigned int degree = 0 ; Traversor2VVaE trav(m_map, db) ; for(Dart it = trav.begin(); it != trav.end(); it = trav.next()) { ++degree ; np += m_position[it] ; } float tmp = 3.0 + 2.0 * cos(2.0 * M_PI / degree) ; float beta = (5.0 / 8.0) - ( tmp * tmp / 64.0 ) ; np *= beta / degree ; typename PFP::VEC3 vp = m_position[db] ; vp *= 1.0 - beta ; m_map.incCurrentLevel() ; m_position[d] = np + vp ; } else { typename PFP::VEC3 p = typename PFP::VEC3(0); unsigned int degree = 0; m_map.decCurrentLevel() ; Traversor3VW travVW(m_map, d); for(Dart dit = travVW.begin() ; dit != travVW.end() ; dit = travVW.next()) { p += SHW04Vertex(m_map, m_position, dit); ++degree; } p /= degree; m_map.incCurrentLevel() ; m_position[d] = p ; } return false ; } } ; template class SHW04EdgeVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position ; public: SHW04EdgeVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { if(m_map.isBoundaryEdge(d)) { Dart dd = m_map.phi2(d) ; m_map.decCurrentLevel() ; Dart d1 = m_map.findBoundaryFaceOfEdge(dd); Dart d2 = m_map.phi2(d1) ; Dart d3 = m_map.phi_1(d1) ; Dart d4 = m_map.phi_1(d2) ; typename PFP::VEC3 p1 = m_position[d1] ; typename PFP::VEC3 p2 = m_position[d2] ; typename PFP::VEC3 p3 = m_position[d3] ; typename PFP::VEC3 p4 = m_position[d4] ; p1 *= 3.0 / 8.0 ; p2 *= 3.0 / 8.0 ; p3 *= 1.0 / 8.0 ; p4 *= 1.0 / 8.0 ; m_map.incCurrentLevel() ; m_position[d] = p1 + p2 + p3 + p4 ; } else { Dart d1 = m_map.phi2(d); m_map.decCurrentLevel(); Dart d2 = m_map.phi2(d1); typename PFP::VEC3 mid = (m_position[d1] + m_position[d2]) * typename PFP::REAL(0.5); typename PFP::VEC3 p = typename PFP::VEC3(0); unsigned int degree = 0; Traversor3VW travVW(m_map, d); for(Dart dit = travVW.begin() ; dit != travVW.end() ; dit = travVW.next()) { p += SHW04Vertex(m_map, m_position, dit); ++degree; } p /= degree; m_map.incCurrentLevel(); m_position[d] = mid + p ; } return false ; } } ; template class SHW04VolumeVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position; public: SHW04VolumeVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { Dart df = m_map.phi_1(m_map.phi2(m_map.phi1(d))) ; m_map.decCurrentLevel() ; typename PFP::VEC3 p = Algo::Geometry::volumeCentroid(m_map, df, m_position); m_map.incCurrentLevel() ; m_position[d] = p ; return false; } }; /* MJ96 basic functions : polyhedral meshes *********************************************************************************/ template class MJ96VertexVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position ; public: MJ96VertexVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { if(m_map.isBoundaryVertex(d)) { Dart db = m_map.findBoundaryFaceOfVertex(d); m_map.decCurrentLevel() ; typename PFP::VEC3 np1(0) ; typename PFP::VEC3 np2(0) ; unsigned int degree1 = 0 ; unsigned int degree2 = 0 ; Dart it = db ; do { ++degree1 ; Dart dd = m_map.phi1(it) ; np1 += m_position[dd] ; Dart end = m_map.phi_1(it) ; dd = m_map.phi1(dd) ; do { ++degree2 ; np2 += m_position[dd] ; dd = m_map.phi1(dd) ; } while(dd != end) ; it = m_map.phi2(m_map.phi_1(it)) ; } while(it != db) ; float beta = 3.0 / (2.0 * degree1) ; float gamma = 1.0 / (4.0 * degree2) ; np1 *= beta / degree1 ; np2 *= gamma / degree2 ; typename PFP::VEC3 vp = m_position[db] ; vp *= 1.0 - beta - gamma ; m_map.incCurrentLevel() ; m_position[d] = np1 + np2 + vp ; } else { typename PFP::VEC3 P = m_position[d]; m_map.decCurrentLevel() ; //vertex points typename PFP::VEC3 Cavg = typename PFP::VEC3(0); unsigned int degree = 0; Traversor3VW travVW(m_map, d); for(Dart dit = travVW.begin() ; dit != travVW.end() ; dit = travVW.next()) { Cavg += Algo::Geometry::volumeCentroid(m_map, dit, m_position); ++degree; } Cavg /= degree; typename PFP::VEC3 Aavg = typename PFP::VEC3(0); degree = 0; Traversor3VF travVF(m_map, d); for(Dart dit = travVF.begin() ; dit != travVF.end() ; dit = travVF.next()) { Aavg += Algo::Geometry::faceCentroid(m_map, dit, m_position); ++degree; } Aavg /= degree; typename PFP::VEC3 Mavg = typename PFP::VEC3(0); degree = 0; Traversor3VE travVE(m_map, d); for(Dart dit = travVE.begin() ; dit != travVE.end() ; dit = travVE.next()) { Dart d2 = m_map.phi2(dit); Aavg += (m_position[dit] + m_position[d2]) * typename PFP::REAL(0.5); ++degree; } Aavg /= degree; typename PFP::VEC3 vp = Cavg + Aavg * 3 + Mavg * 3 + P; vp /= 8; m_map.incCurrentLevel() ; m_position[d] = vp; } return false; } }; template class MJ96EdgeVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position ; public: MJ96EdgeVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { if(m_map.isBoundaryEdge(d)) { Dart db = m_map.findBoundaryFaceOfEdge(d); Dart d1 = m_map.phi2(db) ; //m_map.decCurrentLevel() ; Dart d2 = m_map.phi2(d1) ; Dart d3 = m_map.phi_1(d1) ; Dart d4 = m_map.phi_1(d2) ; Dart d5 = m_map.phi1(m_map.phi1(d1)) ; Dart d6 = m_map.phi1(m_map.phi1(d2)) ; typename PFP::VEC3 p1 = m_position[d1] ; typename PFP::VEC3 p2 = m_position[d2] ; typename PFP::VEC3 p3 = m_position[d3] ; typename PFP::VEC3 p4 = m_position[d4] ; typename PFP::VEC3 p5 = m_position[d5] ; typename PFP::VEC3 p6 = m_position[d6] ; p1 *= 3.0 / 8.0 ; p2 *= 3.0 / 8.0 ; p3 *= 1.0 / 16.0 ; p4 *= 1.0 / 16.0 ; p5 *= 1.0 / 16.0 ; p6 *= 1.0 / 16.0 ; //m_map.incCurrentLevel() ; m_position[d] = p1 + p2 + p3 + p4 + p5 + p6 ; } else { Dart d2 = m_map.phi2(d); //m_map.decCurrentLevel() ; //edge points typename PFP::VEC3 Cavg = typename PFP::VEC3(0); unsigned int degree = 0; Traversor3EW travEW(m_map, d2); for(Dart dit = travEW.begin() ; dit != travEW.end() ; dit = travEW.next()) { Cavg += Algo::Geometry::volumeCentroid(m_map, dit, m_position); ++degree; } Cavg /= degree; typename PFP::VEC3 Aavg = typename PFP::VEC3(0); degree = 0; Traversor3EF travEF(m_map, d2); for(Dart dit = travEF.begin() ; dit != travEF.end() ; dit = travEF.next()) { Aavg += Algo::Geometry::faceCentroid(m_map, dit, m_position); ++degree; } Aavg /= degree; Dart d22 = m_map.phi2(d2); typename PFP::VEC3 M = (m_position[d2] + m_position[d22]) * typename PFP::REAL(0.5); typename PFP::VEC3 ep = Cavg + Aavg * 2 + M * (degree - 3); ep /= degree; //m_map.incCurrentLevel() ; m_position[d] = ep; } return false; } }; template class MJ96FaceVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position ; public: MJ96FaceVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { if(m_map.isBoundaryVertex(d)) { Dart db = m_map.findBoundaryFaceOfVertex(d); Dart df = m_map.phi1(m_map.phi1(db)) ; //m_map.decCurrentLevel() ; typename PFP::VEC3 p(0) ; unsigned int degree = 0 ; Traversor2FV trav(m_map, df) ; for(Dart it = trav.begin(); it != trav.end(); it = trav.next()) { ++degree ; p += m_position[it] ; } p /= degree ; //m_map.incCurrentLevel() ; m_position[d] = p ; } else { Dart df = m_map.phi1(m_map.phi1(d)) ; //m_map.decCurrentLevel() ; //face points typename PFP::VEC3 C0 = Algo::Geometry::volumeCentroid(m_map, df, m_position); typename PFP::VEC3 C1 = Algo::Geometry::volumeCentroid(m_map, m_map.phi3(df), m_position); typename PFP::VEC3 A = Algo::Geometry::volumeCentroid(m_map, m_map.phi3(df), m_position); typename PFP::VEC3 fp = C0 + A * 2 + C1; fp /= 4; //m_map.incCurrentLevel() ; m_position[d] = fp; } return false; } }; template class MJ96VolumeVertexFunctor : public FunctorType { protected: typename PFP::MAP& m_map ; AttributeHandler& m_position ; public: MJ96VolumeVertexFunctor(typename PFP::MAP& m, AttributeHandler& p) : m_map(m), m_position(p) {} bool operator() (Dart d) { Dart df = m_map.phi_1(m_map.phi2(m_map.phi1(d))) ; m_map.decCurrentLevel() ; //cell points : these points are the average of the //vertices of the lattice that bound the cell typename PFP::VEC3 p = Algo::Geometry::volumeCentroid(m_map,df,m_position); m_map.incCurrentLevel() ; m_position[d] = p; return false; } }; } // namespace Multiresolution } // namespace CGoGN #endif /* __3MR_FUNCTORS_PRIMAL__ */