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-/* This file is part of the Gudhi Library. The Gudhi library
- * (Geometric Understanding in Higher Dimensions) is a generic C++
- * library for computational topology.
- *
- * Author(s): David Salinas
- *
- * Copyright (C) 2014 Inria
- *
- * 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 3 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 for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program. If not, see <http://www.gnu.org/licenses/>.
- *
- */
-
-
-#ifndef GARLAND_HECKBERT_H_
-#define GARLAND_HECKBERT_H_
-
-#include <gudhi/Point.h>
-#include <gudhi/Edge_contraction.h>
-#include <gudhi/Skeleton_blocker.h>
-#include <gudhi/Off_reader.h>
-
-#include <iostream>
-
-#include "Garland_heckbert/Error_quadric.h"
-
-struct Geometry_trait {
- typedef Point_d Point;
-};
-
-/**
- * The vertex stored in the complex contains a quadric.
- */
-struct Garland_heckbert_traits
- : public Gudhi::skeleton_blocker::Skeleton_blocker_simple_geometric_traits<Geometry_trait> {
- public:
- struct Garland_heckbert_vertex : public Simple_geometric_vertex {
- Error_quadric<Geometry_trait::Point> quadric;
- };
- typedef Garland_heckbert_vertex Graph_vertex;
-};
-
-using Complex = Gudhi::skeleton_blocker::Skeleton_blocker_geometric_complex< Garland_heckbert_traits >;
-using EdgeProfile = Gudhi::contraction::Edge_profile<Complex>;
-using Complex_contractor = Gudhi::contraction::Skeleton_blocker_contractor<Complex>;
-
-/**
- * How the new vertex is placed after an edge collapse : here it is placed at
- * the point minimizing the cost of the quadric.
- */
-class GH_placement : public Gudhi::contraction::Placement_policy<EdgeProfile> {
- Complex& complex_;
-
- public:
- typedef Gudhi::contraction::Placement_policy<EdgeProfile>::Placement_type Placement_type;
-
- GH_placement(Complex& complex) : complex_(complex) { (void)complex_; }
-
- Placement_type operator()(const EdgeProfile& profile) const override {
- auto sum_quad(profile.v0().quadric);
- sum_quad += profile.v1().quadric;
-
- boost::optional<Point> min_quadric_pt(sum_quad.min_cost());
- if (min_quadric_pt)
- return Placement_type(*min_quadric_pt);
- else
- return profile.p0();
- }
-};
-
-/**
- * How much cost an edge collapse : here the costs is given by a quadric
- * which expresses a squared distances with triangles planes.
- */
-class GH_cost : public Gudhi::contraction::Cost_policy<EdgeProfile> {
- Complex& complex_;
-
- public:
- typedef Gudhi::contraction::Cost_policy<EdgeProfile>::Cost_type Cost_type;
-
- GH_cost(Complex& complex) : complex_(complex) { (void)complex_; }
-
- Cost_type operator()(EdgeProfile const& profile, boost::optional<Point> const& new_point) const override {
- Cost_type res;
- if (new_point) {
- auto sum_quad(profile.v0().quadric);
- sum_quad += profile.v1().quadric;
- res = sum_quad.cost(*new_point);
- }
- return res;
- }
-};
-
-/**
- * Visitor that is called at several moment.
- * Here we initializes the quadrics of every vertex at the on_started call back
- * and we update them when contracting an edge (the quadric become the sum of both quadrics).
- */
-class GH_visitor : public Gudhi::contraction::Contraction_visitor<EdgeProfile> {
- Complex& complex_;
-
- public:
- GH_visitor(Complex& complex) : complex_(complex) { (void)complex_; }
-
- // Compute quadrics for every vertex v
- // The quadric of v consists in the sum of quadric
- // of every triangles passing through v weighted by its area
-
- void on_started(Complex & complex) override {
- for (auto v : complex.vertex_range()) {
- auto & quadric_v(complex[v].quadric);
- for (auto t : complex.triangle_range(v)) {
- auto t_it = t.begin();
- const auto& p0(complex.point(*t_it++));
- const auto& p1(complex.point(*t_it++));
- const auto& p2(complex.point(*t_it++));
- quadric_v += Error_quadric<Point>(p0, p1, p2);
- }
- }
- }
-
- /**
- * @brief Called when an edge is about to be contracted and replaced by a vertex whose position is *placement.
- */
- void on_contracting(EdgeProfile const &profile, boost::optional< Point > placement)
- override {
- profile.v0().quadric += profile.v1().quadric;
- }
-};
-
-int main(int argc, char *argv[]) {
- if (argc != 4) {
- std::cerr << "Usage " << argv[0] <<
- " input.off output.off N to load the file input.off, contract N edges and save the result to output.off.\n";
- return EXIT_FAILURE;
- }
-
- Complex complex;
- typedef Complex::Vertex_handle Vertex_handle;
-
- // load the points
- Gudhi::skeleton_blocker::Skeleton_blocker_off_reader<Complex> off_reader(argv[1], complex);
- if (!off_reader.is_valid()) {
- std::cerr << "Unable to read file:" << argv[1] << std::endl;
- return EXIT_FAILURE;
- }
-
- if (!complex.empty() && !(complex.point(Vertex_handle(0)).dimension() == 3)) {
- std::cerr << "Only points of dimension 3 are supported." << std::endl;
- return EXIT_FAILURE;
- }
-
- std::cout << "Load complex with " << complex.num_vertices() << " vertices" << std::endl;
-
- int num_contractions = atoi(argv[3]);
-
- // constructs the contractor object with Garland Heckbert policies.
- Complex_contractor contractor(complex,
- new GH_cost(complex),
- new GH_placement(complex),
- Gudhi::contraction::make_link_valid_contraction<EdgeProfile>(),
- new GH_visitor(complex));
-
- std::cout << "Contract " << num_contractions << " edges" << std::endl;
- contractor.contract_edges(num_contractions);
-
- std::cout << "Final complex has " <<
- complex.num_vertices() << " vertices, " <<
- complex.num_edges() << " edges and " <<
- complex.num_triangles() << " triangles." << std::endl;
-
- // write simplified complex
- Gudhi::skeleton_blocker::Skeleton_blocker_off_writer<Complex> off_writer(argv[2], complex);
-
- return EXIT_SUCCESS;
-}
-
-#endif // GARLAND_HECKBERT_H_
-
-
-
-