diff options
Diffstat (limited to 'example/Simplex_tree/cech_complex_cgal_mini_sphere_3d.cpp')
-rw-r--r-- | example/Simplex_tree/cech_complex_cgal_mini_sphere_3d.cpp | 221 |
1 files changed, 0 insertions, 221 deletions
diff --git a/example/Simplex_tree/cech_complex_cgal_mini_sphere_3d.cpp b/example/Simplex_tree/cech_complex_cgal_mini_sphere_3d.cpp deleted file mode 100644 index 34092ef6..00000000 --- a/example/Simplex_tree/cech_complex_cgal_mini_sphere_3d.cpp +++ /dev/null @@ -1,221 +0,0 @@ -/* 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): Vincent Rouvreau - * - * Copyright (C) 2017 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/>. - */ - -#include <gudhi/graph_simplicial_complex.h> -#include <gudhi/distance_functions.h> -#include <gudhi/Simplex_tree.h> -#include <gudhi/Points_off_io.h> - -#include <CGAL/Epick_d.h> -#include <CGAL/Min_sphere_of_spheres_d.h> -#include <CGAL/Min_sphere_of_points_d_traits_d.h> - -#include <boost/program_options.hpp> - -#include <string> -#include <vector> -#include <limits> // infinity -#include <utility> // for pair -#include <map> - -// ------------------------------------------------------------------------------- -// cech_complex_cgal_mini_sphere_3d is an example of each step that is required to -// build a Cech over a Simplex_tree. Please refer to cech_persistence to see -// how to do the same thing with the Cech_complex wrapper for less detailed -// steps. -// ------------------------------------------------------------------------------- - -// Types definition -using Simplex_tree = Gudhi::Simplex_tree<>; -using Vertex_handle = Simplex_tree::Vertex_handle; -using Simplex_handle = Simplex_tree::Simplex_handle; -using Filtration_value = Simplex_tree::Filtration_value; -using Siblings = Simplex_tree::Siblings; -using Graph_t = boost::adjacency_list<boost::vecS, boost::vecS, boost::undirectedS, - boost::property<Gudhi::vertex_filtration_t, Filtration_value>, - boost::property<Gudhi::edge_filtration_t, Filtration_value> >; -using Edge_t = std::pair<Vertex_handle, Vertex_handle>; - -using Kernel = CGAL::Epick_d<CGAL::Dimension_tag<3> >; -using Point = Kernel::Point_d; -using Traits = CGAL::Min_sphere_of_points_d_traits_d<Kernel, Filtration_value, 3>; -using Min_sphere = CGAL::Min_sphere_of_spheres_d<Traits>; - -using Points_off_reader = Gudhi::Points_off_reader<Point>; - -class Cech_blocker { - public: - bool operator()(Simplex_handle sh) { - std::vector<Point> points; -#if DEBUG_TRACES - std::cout << "Cech_blocker on ["; -#endif // DEBUG_TRACES - for (auto vertex : simplex_tree_.simplex_vertex_range(sh)) { - points.push_back(point_cloud_[vertex]); -#if DEBUG_TRACES - std::cout << vertex << ", "; -#endif // DEBUG_TRACES - } - Min_sphere ms(points.begin(), points.end()); - Filtration_value radius = ms.radius(); -#if DEBUG_TRACES - std::cout << "] - radius = " << radius << " - returns " << (radius > threshold_) << std::endl; -#endif // DEBUG_TRACES - simplex_tree_.assign_filtration(sh, radius); - return (radius > threshold_); - } - Cech_blocker(Simplex_tree& simplex_tree, Filtration_value threshold, const std::vector<Point>& point_cloud) - : simplex_tree_(simplex_tree), threshold_(threshold), point_cloud_(point_cloud) {} - - private: - Simplex_tree simplex_tree_; - Filtration_value threshold_; - std::vector<Point> point_cloud_; -}; - -template <typename InputPointRange> -Graph_t compute_proximity_graph(InputPointRange& points, Filtration_value threshold); - -void program_options(int argc, char* argv[], std::string& off_file_points, Filtration_value& threshold, int& dim_max); - -int main(int argc, char* argv[]) { - std::string off_file_points; - Filtration_value threshold; - int dim_max; - - program_options(argc, argv, off_file_points, threshold, dim_max); - - // Extract the points from the file filepoints - Points_off_reader off_reader(off_file_points); - - // Compute the proximity graph of the points - Graph_t prox_graph = compute_proximity_graph(off_reader.get_point_cloud(), threshold); - - // Min_sphere sph1(off_reader.get_point_cloud()[0], off_reader.get_point_cloud()[1], off_reader.get_point_cloud()[2]); - // Construct the Rips complex in a Simplex Tree - Simplex_tree st; - // insert the proximity graph in the simplex tree - st.insert_graph(prox_graph); - // expand the graph until dimension dim_max - st.expansion_with_blockers(dim_max, Cech_blocker(st, threshold, off_reader.get_point_cloud())); - - std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; - std::cout << " and has dimension " << st.dimension() << " \n"; - - // Sort the simplices in the order of the filtration - st.initialize_filtration(); - -#if DEBUG_TRACES - std::cout << "********************************************************************\n"; - // Display the Simplex_tree - Can not be done in the middle of 2 inserts - std::cout << "* The complex contains " << st.num_simplices() << " simplices - dimension=" << st.dimension() << "\n"; - std::cout << "* Iterator on Simplices in the filtration, with [filtration value]:\n"; - for (auto f_simplex : st.filtration_simplex_range()) { - std::cout << " " - << "[" << st.filtration(f_simplex) << "] "; - for (auto vertex : st.simplex_vertex_range(f_simplex)) { - std::cout << static_cast<int>(vertex) << " "; - } - std::cout << std::endl; - } -#endif // DEBUG_TRACES - return 0; -} - -void program_options(int argc, char* argv[], std::string& off_file_points, Filtration_value& threshold, int& dim_max) { - namespace po = boost::program_options; - po::options_description hidden("Hidden options"); - hidden.add_options()("input-file", po::value<std::string>(&off_file_points), - "Name of an OFF file containing a 3d point set.\n"); - - po::options_description visible("Allowed options", 100); - visible.add_options()("help,h", "produce help message")( - "max-edge-length,r", - po::value<Filtration_value>(&threshold)->default_value(std::numeric_limits<Filtration_value>::infinity()), - "Maximal length of an edge for the Cech complex construction.")( - "cpx-dimension,d", po::value<int>(&dim_max)->default_value(1), - "Maximal dimension of the Cech complex we want to compute."); - - po::positional_options_description pos; - pos.add("input-file", 1); - - po::options_description all; - all.add(visible).add(hidden); - - po::variables_map vm; - po::store(po::command_line_parser(argc, argv).options(all).positional(pos).run(), vm); - po::notify(vm); - - if (vm.count("help") || !vm.count("input-file")) { - std::cout << std::endl; - std::cout << "Construct a Cech complex defined on a set of input points.\n \n"; - - std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; - std::cout << visible << std::endl; - exit(-1); - } -} - -/** Output the proximity graph of the points. - * - * If points contains n elements, the proximity graph is the graph - * with n vertices, and an edge [u,v] iff the distance function between - * points u and v is smaller than threshold. - * - * The type PointCloud furnishes .begin() and .end() methods, that return - * iterators with value_type Point. - */ -template <typename InputPointRange> -Graph_t compute_proximity_graph(InputPointRange& points, Filtration_value threshold) { - std::vector<Edge_t> edges; - std::vector<Filtration_value> edges_fil; - - Kernel k; - Vertex_handle idx_u, idx_v; - Filtration_value fil; - idx_u = 0; - for (auto it_u = points.begin(); it_u != points.end(); ++it_u) { - idx_v = idx_u + 1; - for (auto it_v = it_u + 1; it_v != points.end(); ++it_v, ++idx_v) { - fil = k.squared_distance_d_object()(*it_u, *it_v); - // For Cech Complex, threshold is a radius (distance /2) - fil = std::sqrt(fil) / 2.; - if (fil <= threshold) { - edges.emplace_back(idx_u, idx_v); - edges_fil.push_back(fil); - } - } - ++idx_u; - } - - Graph_t skel_graph(edges.begin(), edges.end(), edges_fil.begin(), - idx_u); // number of points labeled from 0 to idx_u-1 - - auto vertex_prop = boost::get(Gudhi::vertex_filtration_t(), skel_graph); - - boost::graph_traits<Graph_t>::vertex_iterator vi, vi_end; - for (std::tie(vi, vi_end) = boost::vertices(skel_graph); vi != vi_end; ++vi) { - boost::put(vertex_prop, *vi, 0.); - } - - return skel_graph; -} |