/******************************************************************************* * CGoGN: Combinatorial and Geometric modeling with Generic N-dimensional Maps * * version 0.1 * * Copyright (C) 2009-2011, 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.u-strasbg.fr/ * * Contact information: cgogn@unistra.fr * * * *******************************************************************************/ #include "Algo/Geometry/basic.h" namespace CGoGN { namespace Algo { namespace Geometry { template ATTR_TYPE computeLaplacianTopoVertex( typename PFP::MAP& map, Dart d, const AttributeHandler& attr) { ATTR_TYPE l(0) ; ATTR_TYPE value = attr[d] ; unsigned int wSum = 0 ; Dart it = d ; do { l += attr[map.phi1(it)] - value ; ++wSum ; Dart dboundary = map.phi_1(it) ; if(map.phi2(dboundary) == dboundary) { l += attr[dboundary] - value ; ++wSum ; } it = map.alpha1(it) ; } while(it != d) ; l /= wSum ; return l ; } template ATTR_TYPE computeLaplacianCotanVertex( typename PFP::MAP& map, Dart d, const typename PFP::TREAL& edgeWeight, const typename PFP::TREAL& vertexArea, const AttributeHandler& attr) { typedef typename PFP::REAL REAL ; ATTR_TYPE l(0) ; Dart it = d ; REAL vArea = vertexArea[d] ; ATTR_TYPE value = attr[d] ; REAL wSum = 0 ; do { REAL w = edgeWeight[it] / vArea ; l += (attr[map.phi1(it)] - value) * w ; wSum += w ; Dart dboundary = map.phi_1(it) ; if(map.phi2(dboundary) == dboundary) { w = edgeWeight[dboundary] / vArea ; l += (attr[dboundary] - value) * w ; wSum += w ; } it = map.alpha1(it) ; } while(it != d) ; l /= wSum ; return l ; } template void computeLaplacianTopoVertices( typename PFP::MAP& map, const AttributeHandler& attr, AttributeHandler& laplacian, const FunctorSelect& select) { CellMarker marker(map, VERTEX); for(Dart d = map.begin(); d != map.end(); map.next(d)) { if(select(d) && !marker.isMarked(d)) { marker.mark(d); laplacian[d] = computeLaplacianTopoVertex(map, d, attr) ; } } } template void computeLaplacianCotanVertices( typename PFP::MAP& map, const typename PFP::TREAL& edgeWeight, const typename PFP::TREAL& vertexArea, const AttributeHandler& attr, AttributeHandler& laplacian, const FunctorSelect& select) { CellMarker marker(map, VERTEX); for(Dart d = map.begin(); d != map.end(); map.next(d)) { if(select(d) && !marker.isMarked(d)) { marker.mark(d); laplacian[d] = computeLaplacianCotanVertex(map, d, edgeWeight, vertexArea, attr) ; } } } template typename PFP::REAL computeCotanWeightEdge( typename PFP::MAP& map, Dart d, const typename PFP::TVEC3& position) { const typename PFP::VEC3& p1 = position[d] ; const typename PFP::VEC3& p2 = position[map.phi1(d)] ; const typename PFP::VEC3& p3 = position[map.phi_1(d)] ; typename PFP::REAL cot_alpha = 1 / tan(Geom::angle(p1 - p3, p2 - p3)) ; typename PFP::REAL cot_beta = 0 ; Dart dd = map.phi2(d) ; if(dd != d) { const typename PFP::VEC3& p4 = position[map.phi_1(map.phi2(d))] ; cot_beta = 1 / tan(Geom::angle(p2 - p4, p1 - p4)) ; } return 0.5 * ( cot_alpha + cot_beta ) ; } template void computeCotanWeightEdges( typename PFP::MAP& map, const typename PFP::TVEC3& position, typename PFP::TREAL& edgeWeight, const FunctorSelect& select = SelectorTrue()) { CellMarker marker(map, EDGE); for(Dart d = map.begin(); d != map.end(); map.next(d)) { if(select(d) && !marker.isMarked(d)) { marker.mark(d); edgeWeight[d] = computeCotanWeightEdge(map, d, position) ; } } } } // namespace Geometry } // namespace Algo } // namespace CGoGN