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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): Mathieu Carriere
- *
- * Copyright (C) 2018 INRIA (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 PERSISTENCE_HEAT_MAPS_EXACT_H_
-#define PERSISTENCE_HEAT_MAPS_EXACT_H_
-
-// gudhi include
-#include <gudhi/read_persistence_from_file.h>
-#include <gudhi/common_persistence_representations.h>
-#include <gudhi/Weight_functions.h>
-#include <gudhi/Debug_utils.h>
-
-// standard include
-#include <cmath>
-#include <iostream>
-#include <vector>
-#include <limits>
-#include <fstream>
-#include <sstream>
-#include <algorithm>
-#include <string>
-#include <utility>
-#include <functional>
-
-namespace Gudhi {
-namespace Persistence_representations {
-
-/**
- * \class Persistence_heat_maps_exact gudhi/Persistence_heat_maps_exact.h
- * \brief A class implementing exact persistence heat maps.
- *
- * \ingroup Persistence_representations
- *
- * \details
- *
- * In this class, we propose a way to approximate persistence heat maps, or persistence surfaces, by centering weighted Gaussians on each point of the persistence diagram, and evaluating these (exact) weighted Gaussian functions
- * on the pixels of a 2D grid. Note that this scheme is different from the one proposed in Persistence_heat_maps, which first maps the points of the diagram to a 2D grid, and then evaluates the (approximate) weighted Gaussian functions.
- * Hence, the difference is that we do not modify the diagram in this implementation, but the code can be slower to run.
-**/
-
-class Persistence_heat_maps_exact {
-
- protected:
- Persistence_diagram diagram;
- int res_x, res_y;
- double min_x, max_x, min_y, max_y;
- Weight weight;
- double sigma;
-
- public:
-
- /** \brief Persistence_heat_maps_exact constructor.
- * \ingroup Persistence_heat_maps_exact
- *
- * @param[in] _diagram persistence diagram.
- * @param[in] _min_x minimum value of pixel abscissa.
- * @param[in] _max_x maximum value of pixel abscissa.
- * @param[in] _res_x number of pixels for the x-direction.
- * @param[in] _min_y minimum value of pixel ordinate.
- * @param[in] _max_y maximum value of pixel ordinate.
- * @param[in] _res_y number of pixels for the y-direction.
- * @param[in] _weight weight function for the Gaussians.
- * @param[in] _sigma bandwidth parameter for the Gaussians.
- *
- */
- Persistence_heat_maps_exact(const Persistence_diagram & _diagram, double _min_x = 0.0, double _max_x = 1.0, int _res_x = 10, double _min_y = 0.0, double _max_y = 1.0, int _res_y = 10, const Weight & _weight = arctan_weight(1,1), double _sigma = 1.0){
- diagram = _diagram; min_x = _min_x; max_x = _max_x; res_x = _res_x; min_y = _min_y; max_y = _max_y; res_y = _res_y, weight = _weight; sigma = _sigma;
- }
-
- /** \brief Computes the persistence image of a diagram.
- * \ingroup Persistence_heat_maps_exact
- *
- */
- std::vector<std::vector<double> > vectorize() const {
- std::vector<std::vector<double> > im; for(int i = 0; i < res_y; i++) im.emplace_back();
- double step_x = (max_x - min_x)/(res_x - 1); double step_y = (max_y - min_y)/(res_y - 1);
-
- int num_pts = diagram.size();
-
- for(int i = 0; i < res_y; i++){
- double y = min_y + i*step_y;
- for(int j = 0; j < res_x; j++){
- double x = min_x + j*step_x;
-
- double pixel_value = 0;
- for(int k = 0; k < num_pts; k++){
- double px = diagram[k].first; double py = diagram[k].second;
- pixel_value += weight(std::pair<double,double>(px,py)) * std::exp( -((x-px)*(x-px) + (y-(py-px))*(y-(py-px))) / (2*sigma*sigma) ) / (sigma*std::sqrt(2*pi));
- }
- im[i].push_back(pixel_value);
-
- }
- }
-
- return im;
-
- }
-
-
-
-
-}; // class Persistence_heat_maps_exact
-} // namespace Persistence_representations
-} // namespace Gudhi
-
-#endif // PERSISTENCE_HEAT_MAPS_EXACT_H_