mirror of https://github.com/CGAL/cgal
Quadrics line policies
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lvalque
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// Copyright (c) 2025 GeometryFactory (France). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
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//
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// Author(s) : Leo Valque
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#ifndef CGAL_SURFACE_MESH_SIMPLIFICATION_POLICIES_GARLANDHECKBERT_LINE_POLICIES_H
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#define CGAL_SURFACE_MESH_SIMPLIFICATION_POLICIES_GARLANDHECKBERT_LINE_POLICIES_H
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#include <CGAL/license/Surface_mesh_simplification.h>
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#include <CGAL/Surface_mesh_simplification/internal/Common.h>
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#include <CGAL/Surface_mesh_simplification/Policies/Edge_collapse/internal/GarlandHeckbert_policy_base.h>
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#include <CGAL/Surface_mesh_simplification/Policies/Edge_collapse/internal/GarlandHeckbert_functions.h>
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namespace CGAL {
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namespace Surface_mesh_simplification {
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namespace internal {
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template <typename TriangleMesh, typename GeomTraits>
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class Line_quadric_calculator
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{
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typedef typename GarlandHeckbert_matrix_types<GeomTraits>::Mat_4 Mat_4;
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typedef typename GarlandHeckbert_matrix_types<GeomTraits>::Col_4 Col_4;
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typedef typename GarlandHeckbert_matrix_types<GeomTraits>::Row_4 Row_4;
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public:
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Line_quadric_calculator() { }
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template <typename VertexPointMap>
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Mat_4 construct_quadric_from_vertex(typename boost::graph_traits<TriangleMesh>::vertex_descriptor v,
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const TriangleMesh& tmesh,
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const VertexPointMap point_map,
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const GeomTraits& gt) const
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{
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return construct_line_quadric_from_vertex(v, tmesh, point_map, gt);
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}
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template <typename VertexPointMap>
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Mat_4 construct_quadric_from_edge(typename boost::graph_traits<TriangleMesh>::halfedge_descriptor he,
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const TriangleMesh& tmesh,
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const VertexPointMap point_map,
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const GeomTraits& gt) const
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{
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return Mat_4::Zero();
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}
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template <typename VertexPointMap>
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Mat_4 construct_quadric_from_face(typename boost::graph_traits<TriangleMesh>::face_descriptor f,
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const TriangleMesh& tmesh,
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const VertexPointMap point_map,
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const GeomTraits& gt) const
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{
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return Mat_4::Zero();
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}
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Col_4 construct_optimal_point(const Mat_4& quadric,
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const Col_4& p0,
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const Col_4& p1) const
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{
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return construct_optimal_point_singular<GeomTraits>(quadric, p0, p1);
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}
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};
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} // namespace internal
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template<typename TriangleMesh, typename GeomTraits>
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class GarlandHeckbert_line_policies
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: public internal::GarlandHeckbert_cost_and_placement<
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internal::Line_quadric_calculator<TriangleMesh, GeomTraits>, TriangleMesh, GeomTraits>
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{
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public:
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typedef internal::Line_quadric_calculator<TriangleMesh, GeomTraits> Quadric_calculator;
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private:
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typedef internal::GarlandHeckbert_cost_and_placement<
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Quadric_calculator, TriangleMesh, GeomTraits> Base;
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typedef GarlandHeckbert_line_policies<TriangleMesh, GeomTraits> Self;
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public:
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typedef Self Get_cost;
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typedef Self Get_placement;
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typedef typename GeomTraits::FT FT;
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public:
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GarlandHeckbert_line_policies(TriangleMesh& tmesh,
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const FT dm = FT(100))
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: Base(tmesh, Quadric_calculator(), dm)
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{ }
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public:
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const Get_cost& get_cost() const { return *this; }
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const Get_placement& get_placement() const { return *this; }
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using Base::operator();
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};
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} // namespace Surface_mesh_simplification
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} // namespace CGAL
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#endif // CGAL_SURFACE_MESH_SIMPLIFICATION_POLICIES_GARLANDHECKBERT_LINE_POLICIES_H
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// ////////
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// namespace CGAL {
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// namespace Surface_mesh_simplification {
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// namespace internal {
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// // Storage is initialized by the most-derived class (e.g. GarlandHeckbert_plane_policies)
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// template <typename TriangleMesh, typename GeomTraits>
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// struct GarlandHeckbert_quadrics_storage_custom
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// {
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// typedef typename GarlandHeckbert_matrix_types<GeomTraits>::Mat_4 Mat_4;
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// typedef typename GarlandHeckbert_matrix_types<GeomTraits>::Col_4 Col_4;
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// typedef Mat_4 Cost_matrix;
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// typedef CGAL::dynamic_vertex_property_t<Cost_matrix> Cost_property;
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// typedef typename boost::property_map<TriangleMesh, Cost_property>::type Vertex_cost_map;
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// protected:
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// Vertex_cost_map m_cost_matrices;
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// public:
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// GarlandHeckbert_quadrics_storage_custom() = delete;
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// GarlandHeckbert_quadrics_storage_custom(TriangleMesh& tmesh)
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// {
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// m_cost_matrices = get(Cost_property(), tmesh);
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// }
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// };
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// }
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// template <typename TriangleMesh, typename GeomTraits>
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// class GarlandHeckbert_line_policies
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// : public internal::GarlandHeckbert_quadrics_storage_custom<TriangleMesh, GeomTraits>
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// {
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// typedef internal::GarlandHeckbert_quadrics_storage_custom<TriangleMesh, GeomTraits> Base;
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// public:
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// // Tells the main function of 'Edge_collapse' that these
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// // policies must call "initialize" and "update" functions.
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// typedef CGAL::Tag_true Update_tag;
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// typedef GarlandHeckbert_line_policies<TriangleMesh, GeomTraits> Self;
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// typedef typename boost::graph_traits<TriangleMesh>::vertex_descriptor vertex_descriptor;
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// typedef typename boost::graph_traits<TriangleMesh>::halfedge_descriptor halfedge_descriptor;
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// typedef typename boost::graph_traits<TriangleMesh>::face_descriptor face_descriptor;
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// typedef typename GeomTraits::FT FT;
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// typedef typename GeomTraits::Point_3 Point_3;
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// typedef typename GeomTraits::Vector_3 Vector_3;
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// typedef typename Base::Mat_4 Mat_4;
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// typedef typename Base::Col_4 Col_4;
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// private:
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// FT discontinuity_multiplier;
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// FT line_factor;
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// public:
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// GarlandHeckbert_line_policies(TriangleMesh& tmesh, const FT lf=FT(0.01), const FT dm = FT(100))
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// : Base(tmesh), discontinuity_multiplier(dm), line_factor(lf)
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// { }
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// decltype(auto) vcm() const { return this->m_cost_matrices; }
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// public:
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// static Col_4 point_to_homogenous_column(const Point_3& point)
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// {
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// return Col_4 { point.x(), point.y(), point.z(), FT(1) };
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// }
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// Col_4 construct_optimum(const Mat_4& mat, const Col_4& p0, const Col_4& p1) const
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// {
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// // return quadric_calculator().construct_optimal_point(mat, p0, p1);
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// return internal::construct_optimal_point_singular<GeomTraits>(mat, p0, p1);
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// }
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// template <typename VertexPointMap>
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// Mat_4 construct_quadric_from_edge(typename boost::graph_traits<TriangleMesh>::halfedge_descriptor he,
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// const TriangleMesh& tmesh,
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// const VertexPointMap point_map,
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// const GeomTraits& gt) const
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// {
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// return internal::construct_classic_plane_quadric_from_edge(he, tmesh, point_map, gt);
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// }
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// template <typename VertexPointMap>
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// Mat_4 construct_quadric_from_face(typename boost::graph_traits<TriangleMesh>::face_descriptor f,
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// const TriangleMesh& tmesh,
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// const VertexPointMap point_map,
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// const GeomTraits& gt) const
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// {
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// return internal::construct_classic_plane_quadric_from_face(f, tmesh, point_map, gt);
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// }
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// static bool is_discontinuity_edge(const halfedge_descriptor h,
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// const TriangleMesh& tmesh)
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// {
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// return is_border_edge(h, tmesh);
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// }
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// public:
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// // initialize all quadrics
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// template <typename VertexPointMap>
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// void initialize(const TriangleMesh& tmesh,
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// const VertexPointMap vpm,
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// const GeomTraits& gt) const
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// {
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// Mat_4 zero_mat = Mat_4::Zero();
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// for(vertex_descriptor v : vertices(tmesh))
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// put(vcm(), v, line_factor*internal::construct_line_quadric_from_vertex(v, tmesh, vpm, gt));
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// for(face_descriptor f : faces(tmesh))
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// {
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// if(f == boost::graph_traits<TriangleMesh>::null_face())
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// continue;
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// const halfedge_descriptor h = halfedge(f, tmesh);
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// // construtct the (4 x 4) matrix representing the plane quadric
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// const Mat_4 quadric = construct_quadric_from_face(f, tmesh, vpm, gt);
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// for(halfedge_descriptor shd : halfedges_around_face(h, tmesh))
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// {
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// const vertex_descriptor vs = source(shd, tmesh);
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// const vertex_descriptor vt = target(shd, tmesh);
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// put(vcm(), vs, internal::combine_matrices(get(vcm(), vs), quadric));
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// if(!is_discontinuity_edge(shd, tmesh))
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// continue;
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// const Mat_4 discontinuous_quadric =
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// discontinuity_multiplier * construct_quadric_from_edge(shd, tmesh, vpm, gt);
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// put(vcm(), vs, internal::combine_matrices(get(vcm(), vs), discontinuous_quadric));
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// put(vcm(), vt, internal::combine_matrices(get(vcm(), vt), discontinuous_quadric));
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// }
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// }
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// }
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// template <typename Profile, typename VertexDescriptor>
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// void update_after_collapse(const Profile& profile,
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// const VertexDescriptor new_v) const
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// {
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// put(vcm(), new_v, internal::combine_matrices(get(vcm(), profile.v0()),
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// get(vcm(), profile.v1())));
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// }
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// public:
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// // Cost
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// template <typename Profile>
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// std::optional<typename Profile::FT>
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// operator()(const Profile& profile,
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// const std::optional<typename Profile::Point>& placement) const
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// {
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// typedef std::optional<typename Profile::FT> Optional_FT;
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// if(!placement)
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// return std::optional<typename Profile::FT>();
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// CGAL_precondition(!get(vcm(), profile.v0()).isZero(0));
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// CGAL_precondition(!get(vcm(), profile.v1()).isZero(0));
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// const Mat_4 combined_matrix = internal::combine_matrices(get(vcm(), profile.v0()),
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// get(vcm(), profile.v1()));
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// const Col_4 pt = point_to_homogenous_column(*placement);
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// const Optional_FT cost = (pt.transpose() * combined_matrix * pt)(0, 0);
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// return cost;
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// }
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// public:
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// typedef Self Get_cost;
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// typedef Self Get_placement;
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// // Placement
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// template <typename Profile>
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// std::optional<typename Profile::Point> operator()(const Profile& profile) const
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// {
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// CGAL_precondition(!get(vcm(), profile.v0()).isZero(0));
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// CGAL_precondition(!get(vcm(), profile.v1()).isZero(0));
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// // the combined matrix has already been computed in the evaluation of the cost...
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// const Mat_4 combined_matrix = internal::combine_matrices(get(vcm(), profile.v0()),
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// get(vcm(), profile.v1()));
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// const Col_4 p0 = point_to_homogenous_column(profile.p0());
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// const Col_4 p1 = point_to_homogenous_column(profile.p1());
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// const Col_4 opt = construct_optimum(combined_matrix, p0, p1);
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// std::optional<typename Profile::Point> pt = typename Profile::Point(opt(0) / opt(3),
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// opt(1) / opt(3),
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// opt(2) / opt(3));
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// return pt;
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// }
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// const Get_cost& get_cost() const { return *this; }
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// const Get_placement& get_placement() const { return *this; }
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// };
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// // } // namespace internal
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// } // namespace Surface_mesh_simplification
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// } // namespace CGAL
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// #endif // CGAL_SURFACE_MESH_SIMPLIFICATION_POLICIES_GARLANDHECKBERT_LINE_POLICIES_H
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