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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): Vincent Rouvreau
- *
- * Copyright (C) 2015 INRIA Saclay (France)
- *
- * 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 SRC_ALPHA_SHAPES_INCLUDE_GUDHI_ALPHA_SHAPES_H_
-#define SRC_ALPHA_SHAPES_INCLUDE_GUDHI_ALPHA_SHAPES_H_
-
-// to construct a Delaunay_triangulation from a OFF file
-#include <gudhi/Alpha_shapes/Delaunay_triangulation_off_io.h>
-
-// to construct a simplex_tree from Delaunay_triangulation
-#include <gudhi/graph_simplicial_complex.h>
-#include <gudhi/Simplex_tree.h>
-
-#include <stdio.h>
-#include <stdlib.h>
-
-#include <CGAL/Delaunay_triangulation.h>
-#include <CGAL/Epick_d.h>
-#include <CGAL/algorithm.h>
-#include <CGAL/assertions.h>
-
-#include <iostream>
-#include <iterator>
-#include <vector>
-#include <string>
-
-namespace Gudhi {
-
-namespace alphashapes {
-
-/** \defgroup alpha_shapes Alpha shapes in dimension N
- *
- <DT>Implementations:</DT>
- Alpha shapes in dimension N are a subset of Delaunay Triangulation in dimension N.
-
-
- * \author Vincent Rouvreau
- * \version 1.0
- * \date 2015
- * \copyright GNU General Public License v3.
- * @{
- */
-
-/**
- * \brief Alpha shapes data structure.
- *
- * \details Every simplex \f$[v_0, \cdots ,v_d]\f$ admits a canonical orientation
- * induced by the order relation on vertices \f$ v_0 < \cdots < v_d \f$.
- *
- * Details may be found in \cite boissonnatmariasimplextreealgorithmica.
- *
- * \implements FilteredComplex
- *
- */
-class Alpha_shapes {
- private:
- // From Simplex_tree
- /** \brief Type required to insert into a simplex_tree (with or without subfaces).*/
- typedef std::vector<Vertex_handle> typeVectorVertex;
-
- // From CGAL
- /** \brief Kernel for the Delaunay_triangulation.
- * Dimension can be set dynamically.
- */
- typedef CGAL::Epick_d< CGAL::Dynamic_dimension_tag > Kernel;
- /** \brief Delaunay_triangulation type required to create an alpha-shape.
- */
- typedef CGAL::Delaunay_triangulation<Kernel> Delaunay_triangulation;
-
- private:
- /** \brief Upper bound on the simplex tree of the simplicial complex.*/
- Gudhi::Simplex_tree<> _st;
-
- public:
-
- Alpha_shapes(std::string off_file_name, int dimension) {
- Delaunay_triangulation dt(dimension);
- Gudhi::alphashapes::Delaunay_triangulation_off_reader<Delaunay_triangulation>
- off_reader(off_file_name, dt, true, true);
- if (!off_reader.is_valid()) {
- std::cerr << "Unable to read file " << off_file_name << std::endl;
- exit(-1); // ----- >>
- }
-#ifdef DEBUG_TRACES
- std::cout << "number of vertices=" << dt.number_of_vertices() << std::endl;
- std::cout << "number of full cells=" << dt.number_of_full_cells() << std::endl;
- std::cout << "number of finite full cells=" << dt.number_of_finite_full_cells() << std::endl;
-#endif // DEBUG_TRACES
- init<Delaunay_triangulation>(dt);
- }
-
- template<typename T>
- Alpha_shapes(T triangulation) {
- init<T>(triangulation);
- }
-
- ~Alpha_shapes() { }
-
- private:
-
- template<typename T>
- void init(T triangulation) {
- _st.set_dimension(triangulation.maximal_dimension());
- _st.set_filtration(0.0);
- // triangulation points list
- for (auto vit = triangulation.finite_vertices_begin();
- vit != triangulation.finite_vertices_end(); ++vit) {
- typeVectorVertex vertexVector;
- Vertex_handle vertexHdl = std::distance(triangulation.finite_vertices_begin(), vit);
- vertexVector.push_back(vertexHdl);
-
- // Insert each point in the simplex tree
- _st.insert_simplex(vertexVector, 0.0);
-
-#ifdef DEBUG_TRACES
- std::cout << "P" << vertexHdl << ":";
- for (auto Coord = vit->point().cartesian_begin(); Coord != vit->point().cartesian_end(); ++Coord) {
- std::cout << *Coord << " ";
- }
- std::cout << std::endl;
-#endif // DEBUG_TRACES
- }
- // triangulation finite full cells list
- for (auto cit = triangulation.finite_full_cells_begin();
- cit != triangulation.finite_full_cells_end(); ++cit) {
- typeVectorVertex vertexVector;
- for (auto vit = cit->vertices_begin(); vit != cit->vertices_end(); ++vit) {
- // Vertex handle is distance - 1
- Vertex_handle vertexHdl = std::distance(triangulation.vertices_begin(), *vit) - 1;
- vertexVector.push_back(vertexHdl);
- }
- // Insert each point in the simplex tree
- _st.insert_simplex_and_subfaces(vertexVector, 0.0);
-
-#ifdef DEBUG_TRACES
- std::cout << "C" << std::distance(triangulation.finite_full_cells_begin(), cit) << ":";
- for (auto value : vertexVector) {
- std::cout << value << ' ';
- }
- std::cout << std::endl;
-#endif // DEBUG_TRACES
- }
- }
-
- public:
-
- /** \brief Returns the number of vertices in the complex. */
- size_t num_vertices() {
- return _st.num_vertices();
- }
-
- /** \brief Returns the number of simplices in the complex.
- *
- * Does not count the empty simplex. */
- unsigned num_simplices() const {
- return _st.num_simplices();
- }
-
- /** \brief Returns an upper bound on the dimension of the simplicial complex. */
- int dimension() {
- return _st.dimension();
- }
-
- /** \brief Returns an upper bound of the filtration values of the simplices. */
- Filtration_value filtration() {
- return _st.filtration();
- }
-
- friend std::ostream& operator<<(std::ostream& os, const Alpha_shapes& alpha_shape) {
- // TODO: Program terminated with signal SIGABRT, Aborted - Maybe because of copy constructor
- Gudhi::Simplex_tree<> st = alpha_shape._st;
- os << st << std::endl;
- return os;
- }
-};
-
-} // namespace alphashapes
-
-} // namespace Gudhi
-
-#endif // SRC_ALPHA_SHAPES_INCLUDE_GUDHI_ALPHA_SHAPES_H_