From f3ed36c07929334b6071de0ce5630da0b793f047 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Mon, 23 Jan 2017 09:07:04 +0000 Subject: Add an util to compute bottleneck distance between the alpha and a rips git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/bottleneck_misc_fixes@1984 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: d036fa6129f4ee326335787ed2968f505c5bb276 --- src/Bottleneck_distance/utils/CMakeLists.txt | 16 ++ .../alpha_rips_persistence_bottleneck_distance.cpp | 184 +++++++++++++++++++++ 2 files changed, 200 insertions(+) create mode 100644 src/Bottleneck_distance/utils/CMakeLists.txt create mode 100644 src/Bottleneck_distance/utils/alpha_rips_persistence_bottleneck_distance.cpp (limited to 'src') diff --git a/src/Bottleneck_distance/utils/CMakeLists.txt b/src/Bottleneck_distance/utils/CMakeLists.txt new file mode 100644 index 00000000..febadea1 --- /dev/null +++ b/src/Bottleneck_distance/utils/CMakeLists.txt @@ -0,0 +1,16 @@ +cmake_minimum_required(VERSION 2.6) +project(Bottleneck_distance_utils) + +# requires CGAL 4.8 +# cmake -DCGAL_DIR=~/workspace/CGAL-4.8 ../../.. +if(CGAL_FOUND) + if (NOT CGAL_VERSION VERSION_LESS 4.8.0) + if (EIGEN3_FOUND) + add_executable (alpha_rips_persistence_bottleneck_distance alpha_rips_persistence_bottleneck_distance.cpp) + target_link_libraries(alpha_rips_persistence_bottleneck_distance ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) + if (TBB_FOUND) + target_link_libraries(alpha_rips_persistence_bottleneck_distance ${TBB_LIBRARIES}) + endif(TBB_FOUND) + endif(EIGEN3_FOUND) + endif(NOT CGAL_VERSION VERSION_LESS 4.8.0) +endif(CGAL_FOUND) diff --git a/src/Bottleneck_distance/utils/alpha_rips_persistence_bottleneck_distance.cpp b/src/Bottleneck_distance/utils/alpha_rips_persistence_bottleneck_distance.cpp new file mode 100644 index 00000000..9043c947 --- /dev/null +++ b/src/Bottleneck_distance/utils/alpha_rips_persistence_bottleneck_distance.cpp @@ -0,0 +1,184 @@ +/* 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 . + */ + +#include +#include +#include +#include +#include +#include +#include + +#include + +#include + +#include +#include +#include // infinity +#include // for pair +#include // for transform + + +// Types definition +using Simplex_tree = Gudhi::Simplex_tree; +using Filtration_value = Simplex_tree::Filtration_value; +using Rips_complex = Gudhi::rips_complex::Rips_complex; +using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; +using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology; +using Kernel = CGAL::Epick_d< CGAL::Dynamic_dimension_tag >; +using Point_d = Kernel::Point_d; +using Points_off_reader = Gudhi::Points_off_reader; + +void program_options(int argc, char * argv[] + , std::string & off_file_points + , Filtration_value & threshold + , int & dim_max + , int & p + , Filtration_value & min_persistence); + +static inline std::pair compute_root_square (std::pair input) { + return std::make_pair(std::sqrt(input.first), std::sqrt(input.second)); +} + +int main(int argc, char * argv[]) { + std::string off_file_points; + Filtration_value threshold; + int dim_max; + int p; + Filtration_value min_persistence; + + program_options(argc, argv, off_file_points, threshold, dim_max, p, min_persistence); + + Points_off_reader off_reader(off_file_points); + + // ------------------------------------ + // Rips persistence + // ------------------------------------ + Rips_complex rips_complex(off_reader.get_point_cloud(), threshold, Euclidean_distance()); + + // Construct the Rips complex in a Simplex Tree + Simplex_tree rips_stree; + + rips_complex.create_complex(rips_stree, dim_max); + std::cout << "The Rips complex contains " << rips_stree.num_simplices() << " simplices and has dimension " + << rips_stree.dimension() << " \n"; + + // Sort the simplices in the order of the filtration + rips_stree.initialize_filtration(); + + // Compute the persistence diagram of the complex + Persistent_cohomology rips_pcoh(rips_stree); + // initializes the coefficient field for homology + rips_pcoh.init_coefficients(p); + + rips_pcoh.compute_persistent_cohomology(min_persistence); + + rips_pcoh.output_diagram(); + + // ------------------------------------ + // Alpha persistence + // ------------------------------------ + Gudhi::alpha_complex::Alpha_complex alpha_complex(off_reader.get_point_cloud()); + + Simplex_tree alpha_stree; + alpha_complex.create_complex(alpha_stree, threshold * threshold); + std::cout << "The Alpha complex contains " << alpha_stree.num_simplices() << " simplices and has dimension " + << alpha_stree.dimension() << " \n"; + + // Sort the simplices in the order of the filtration + alpha_stree.initialize_filtration(); + + // Compute the persistence diagram of the complex + Persistent_cohomology alpha_pcoh(alpha_stree); + // initializes the coefficient field for homology + alpha_pcoh.init_coefficients(p); + + alpha_pcoh.compute_persistent_cohomology(min_persistence * min_persistence); + + alpha_pcoh.output_diagram(); + + for (int dim = 0; dim <= dim_max; dim ++) { + std::vector< std::pair< Filtration_value , Filtration_value > > rips_intervals; + std::vector< std::pair< Filtration_value , Filtration_value > > alpha_intervals; + rips_intervals = rips_pcoh.intervals_in_dimension(dim); + alpha_intervals = alpha_pcoh.intervals_in_dimension(dim); + std::transform(alpha_intervals.begin(), alpha_intervals.end(), alpha_intervals.begin(), compute_root_square); + + double bottleneck_distance = Gudhi::persistence_diagram::bottleneck_distance(rips_intervals, alpha_intervals); + std::cout << "In dimension " << dim << ", bottleneck distance = " << bottleneck_distance << std::endl; + } + + return 0; +} + +void program_options(int argc, char * argv[] + , std::string & off_file_points + , Filtration_value & threshold + , int & dim_max + , int & p + , Filtration_value & min_persistence) { + namespace po = boost::program_options; + po::options_description hidden("Hidden options"); + hidden.add_options() + ("input-file", po::value(&off_file_points), + "Name of an OFF file containing a point set.\n"); + + po::options_description visible("Allowed options", 100); + visible.add_options() + ("help,h", "produce help message") + ("max-edge-length,r", + po::value(&threshold)->default_value(std::numeric_limits::infinity()), + "Maximal length of an edge for the Rips complex construction.") + ("cpx-dimension,d", po::value(&dim_max)->default_value(1), + "Maximal dimension of the Rips complex we want to compute.") + ("field-charac,p", po::value(&p)->default_value(11), + "Characteristic p of the coefficient field Z/pZ for computing homology.") + ("min-persistence,m", po::value(&min_persistence), + "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals"); + + 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 << "Compute the persistent homology with coefficient field Z/pZ \n"; + std::cout << "of a Rips complex defined on a set of input points.\n \n"; + std::cout << "The output diagram contains one bar per line, written with the convention: \n"; + std::cout << " p dim b d \n"; + std::cout << "where dim is the dimension of the homological feature,\n"; + std::cout << "b and d are respectively the birth and death of the feature and \n"; + std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; + + std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; + std::cout << visible << std::endl; + std::abort(); + } +} -- cgit v1.2.3