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// Copyright (c) 2009 INRIA Sophia-Antipolis (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Mesh_3/include/CGAL/Mesh_3/Odt_move.h $ // $Id: include/CGAL/Mesh_3/Odt_move.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Stephane Tayeb // //****************************************************************************** // File Description : //****************************************************************************** #ifndef CGAL_MESH_3_ODT_MOVE_H #define CGAL_MESH_3_ODT_MOVE_H #include #include #include #include namespace CGAL { namespace Mesh_3 { template > class Odt_move { typedef typename C3T3::Triangulation Tr; typedef typename Tr::Geom_traits GT; typedef typename Tr::Vertex_handle Vertex_handle; typedef typename Tr::Facet Facet; typedef typename Tr::Cell_handle Cell_handle; typedef typename Tr::Bare_point Bare_point; typedef typename Tr::Weighted_point Weighted_point; typedef typename std::vector Facet_vector; typedef typename std::vector Cell_vector; typedef typename GT::FT FT; typedef typename GT::Vector_3 Vector_3; public: typedef SizingField Sizing_field; Vector_3 operator()(const Vertex_handle& v, const Cell_vector& incident_cells, const C3T3& c3t3, const Sizing_field& sizing_field = Sizing_field()) const { // Don't move edge or corner vertices if ( c3t3.in_dimension(v) < 2 ) { return CGAL::NULL_VECTOR; } // Compute move const Tr& tr = c3t3.triangulation(); typename GT::Construct_point_3 cp = tr.geom_traits().construct_point_3_object(); typename GT::Construct_vector_3 vector = tr.geom_traits().construct_vector_3_object(); Vector_3 move = CGAL::NULL_VECTOR; FT sum_volume(0); for ( typename Cell_vector::const_iterator cit = incident_cells.begin() ; cit != incident_cells.end() ; ++cit ) { const Cell_handle& cell = *cit; // Consider only cells of complex if ( ! c3t3.is_in_complex(cell) ) continue; // Get points Bare_point circumcenter = tr.dual(cell); // Compute move const Weighted_point& p = tr.point(cell, cell->index(v)); Vector_3 p_circum = vector(cp(p), circumcenter); FT volume = volume_quadrature(cell, tr, sizing_field); move = move + p_circum * volume; sum_volume += volume; } // Add boundary terms if needed if ( c3t3.in_dimension(v) == 2 ) { // move = move + (1.0 / 12.0) * move_odt_2D(v, c3t3, sizing_field); } if ( FT(0) != sum_volume ) return move/sum_volume; else return CGAL::NULL_VECTOR; } #if defined(CGAL_MESH_3_OPTIMIZER_VERBOSE) \ || defined (CGAL_MESH_3_EXPORT_PERFORMANCE_DATA) static std::string name() { return std::string("Odt"); } #endif private: // 1-point at cell centroid FT volume_quadrature(const Cell_handle& cell, const Tr& tr, const Sizing_field& sizing_field) const { typename GT::Construct_centroid_3 centroid = tr.geom_traits().construct_centroid_3_object(); typename GT::Compute_volume_3 volume = tr.geom_traits().compute_volume_3_object(); Bare_point c = centroid(tr.tetrahedron(cell)); FT s = sizing_field(c, std::make_pair(cell, true)); CGAL_assertion(!is_zero(s)); // Points of cell are positively oriented FT abs_volume = volume(tr.tetrahedron(cell)); CGAL_assertion(abs_volume >= 0); return abs_volume / (s*s*s); } // /** // * @class Is_on_c3t3_boundary // * // * A functor which returns false if a facet is on the boundary of c3t3 // */ // class Is_not_on_c3t3_boundary // { // public: // Is_not_on_c3t3_boundary(const C3T3& c3t3) : c3t3_(c3t3) { } // // bool operator()(const Facet& f) const // { // return ( ! c3t3_.is_in_complex(f) ) || // ( c3t3_.is_in_complex(f.first) && // c3t3_.is_in_complex(f.first->neighbor(f.second)) ); // } // // private: // const C3T3& c3t3_; // }; // // // boundary terms // Vector_3 move_odt_2D(const Vertex_handle& v, // const C3T3& c3t3, // const Sizing_field& sizing_field) const // { // // Triangulation // const Tr& tr = c3t3.triangulation(); // // // Get boundary facets // Facet_vector incident_facets; // tr.finite_incident_facets(v, std::back_inserter(incident_facets)); // // typename Facet_vector::iterator in_c3t3_incident_end = // std::remove_if(incident_facets.begin(), incident_facets.end(), // Is_not_on_c3t3_boundary(c3t3)); // // // Compute boundary terms // Vector_3 move = CGAL::NULL_VECTOR; // for(typename Facet_vector::iterator fit = incident_facets.begin(); // fit != in_c3t3_incident_end; // ++fit) // { // CGAL_assertion(c3t3.is_in_complex(*fit)); // // // Normal // FT area = area_quadrature(*fit, tr, sizing_field); // Vector_3 facet_normal = area * normal_outside(*fit, c3t3); // // // Sq length // FT sq_length_sum = sq_length_facet_quadrature(v, *fit, tr, sizing_field); // // // Move // move = move + sq_length_sum * facet_normal; // } // // return move; // } // // // 1-point at facet centroid // FT area_quadrature(const Facet& facet, // const Tr& tr, // const Sizing_field& sizing_field) const // { // typename GT::Compute_area_3 area = tr.geom_traits().compute_area_3_object(); // typename GT::Construct_centroid_3 centroid = tr.geom_traits().construct_centroid_3_object(); // // Bare_point c = centroid(tr.triangle(facet)); // FT s = sizing_field(c, facet.first->vertex(0)); // // return ( area(tr.triangle(facet)) / (s*s) ); // } // // // 1-point at segment midpoint // FT sq_length_quadrature(const int& vertex_index_1, // const int& vertex_index_2, // const Cell_handle cell, // const Tr& tr, // const Sizing_field& sizing_field) const // { // typename GT::Construct_point_3 cp = tr.geom_traits().construct_point_3_object(); // typename GT::Construct_midpoint_3 midpoint = tr.geom_traits().construct_midpoint_3_object(); // typename GT::Compute_squared_distance_3 sq_distance = tr.geom_traits().compute_squared_distance_3_object(); // // const Weighted_point& wp1 = tr.point(cell, vertex_index_1); // const Weighted_point& wp2 = tr.point(cell, vertex_index_2); // const Bare_point& p1 = cp(wp1); // const Bare_point& p2 = cp(wp2); // // Bare_point c = midpoint(p1, p2); // FT s = sizing_field(c, cell->vertex(vertex_index_1)); // // return ( sq_distance(p1, p2) / s ); // } // // FT sq_length_facet_quadrature(const Vertex_handle& v, // const Facet& f, // const Tr& tr, // const Sizing_field& sizing_field) const // { // // get indices // const int& vertex_index = f.first->index(v); // int k1 = (vertex_index+1)&3; // int k2 = (vertex_index+2)&3; // int k3 = (vertex_index+3)&3; // // if ( k2 == f.second ) { std::swap(k1,k2); } // else if ( k3 == f.second ) { std::swap(k1,k3); } // // // Here k1 is opposite vertex index in f.first, facet vertices indices // // are (vertex_index,k2,k3) // // FT sqd_v2 = sq_length_quadrature(vertex_index, k2, f.first, tr, sizing_field); // FT sqd_v3 = sq_length_quadrature(vertex_index, k3, f.first, tr, sizing_field); // // return (sqd_v2 + sqd_v3); // } // // Vector_3 normal_outside(const Facet& f, const C3T3& c3t3) const // { // typename GT::Construct_point_3 cp = c3t3.triangulation().geom_traits().construct_point_3_object(); // typename GT::Construct_normal_3 normal = c3t3.triangulation().geom_traits().construct_normal_3_object(); // // const Cell_handle& cell = f.first; // const int& i = f.second; // // int k1 = (i+1)&3; // int k2 = (i+2)&3; // int k3 = (i+3)&3; // // // Orient normals to the outside of cell // if ( (i&1) == 1 ) // std::swap(k1,k2); // // // Make sure normals are oriented outside // if ( ! c3t3.is_in_complex(cell) ) // std::swap(k1,k2); // // const Weighted_point& wp1 = c3t3.triangulation().point(cell, k1); // const Weighted_point& wp2 = c3t3.triangulation().point(cell, k2); // const Weighted_point& wp3 = c3t3.triangulation().point(cell, k3); // // return normal(cp(p1), cp(p2), cp(p3)); // } }; } // end namespace Mesh_3 } //namespace CGAL #endif // CGAL_MESH_3_ODT_MOVE_H