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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): Pawel Dlotko
- *
- * Copyright (C) 2016 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 PSSK_H_
-#define PSSK_H_
-
-// gudhi include
-#include <gudhi/Persistence_heat_maps.h>
-
-#include <limits>
-#include <utility>
-#include <vector>
-
-namespace Gudhi {
-namespace Persistence_representations {
-
-/**
-* This is a version of a representation presented in https://arxiv.org/abs/1412.6821
-* In that paper the authors are using the representation just to compute kernel. Over here, we extend the usability by
-*far.
-* Note that the version presented here is not exact, since we are discretizing the kernel.
-* The only difference with respect to the original class is the method of creation. We have full (square) image, and for
-*every point (p,q), we add a kernel at (p,q) and the negative kernel
-* at (q,p)
-**/
-
-class PSSK : public Persistence_heat_maps<constant_scaling_function> {
- public:
- PSSK() : Persistence_heat_maps() {}
-
- PSSK(const std::vector<std::pair<double, double> >& interval,
- std::vector<std::vector<double> > filter = create_Gaussian_filter(5, 1), size_t number_of_pixels = 1000,
- double min_ = -1, double max_ = -1)
- : Persistence_heat_maps() {
- this->construct(interval, filter, number_of_pixels, min_, max_);
- }
-
- PSSK(const char* filename, std::vector<std::vector<double> > filter = create_Gaussian_filter(5, 1),
- size_t number_of_pixels = 1000, double min_ = -1, double max_ = -1,
- unsigned dimension = std::numeric_limits<unsigned>::max())
- : Persistence_heat_maps() {
- std::vector<std::pair<double, double> > intervals_;
- if (dimension == std::numeric_limits<unsigned>::max()) {
- intervals_ = read_persistence_intervals_in_one_dimension_from_file(filename);
- } else {
- intervals_ = read_persistence_intervals_in_one_dimension_from_file(filename, dimension);
- }
- this->construct(intervals_, filter, number_of_pixels, min_, max_);
- }
-
- protected:
- void construct(const std::vector<std::pair<double, double> >& intervals_,
- std::vector<std::vector<double> > filter = create_Gaussian_filter(5, 1),
- size_t number_of_pixels = 1000, double min_ = -1, double max_ = -1);
-};
-
-// if min_ == max_, then the program is requested to set up the values itself based on persistence intervals
-void PSSK::construct(const std::vector<std::pair<double, double> >& intervals_,
- std::vector<std::vector<double> > filter, size_t number_of_pixels, double min_, double max_) {
- bool dbg = false;
- if (dbg) {
- std::cerr << "Entering construct procedure \n";
- getchar();
- }
-
- if (min_ == max_) {
- // in this case, we want the program to set up the min_ and max_ values by itself.
- min_ = std::numeric_limits<int>::max();
- max_ = -std::numeric_limits<int>::max();
-
- for (size_t i = 0; i != intervals_.size(); ++i) {
- if (intervals_[i].first < min_) min_ = intervals_[i].first;
- if (intervals_[i].second > max_) max_ = intervals_[i].second;
- }
- // now we have the structure filled in, and moreover we know min_ and max_ values of the interval, so we know the
- // range.
-
- // add some more space:
- min_ -= fabs(max_ - min_) / 100;
- max_ += fabs(max_ - min_) / 100;
- }
-
- if (dbg) {
- std::cerr << "min_ : " << min_ << std::endl;
- std::cerr << "max_ : " << max_ << std::endl;
- std::cerr << "number_of_pixels : " << number_of_pixels << std::endl;
- getchar();
- }
-
- this->min_ = min_;
- this->max_ = max_;
-
- // initialization of the structure heat_map
- std::vector<std::vector<double> > heat_map_;
- for (size_t i = 0; i != number_of_pixels; ++i) {
- std::vector<double> v(number_of_pixels, 0);
- heat_map_.push_back(v);
- }
- this->heat_map = heat_map_;
-
- if (dbg) std::cerr << "Done creating of the heat map, now we will fill in the structure \n";
-
- for (size_t pt_nr = 0; pt_nr != intervals_.size(); ++pt_nr) {
- // compute the value of intervals_[pt_nr] in the grid:
- int x_grid =
- static_cast<int>((intervals_[pt_nr].first - this->min_) / (this->max_ - this->min_) * number_of_pixels);
- int y_grid =
- static_cast<int>((intervals_[pt_nr].second - this->min_) / (this->max_ - this->min_) * number_of_pixels);
-
- if (dbg) {
- std::cerr << "point : " << intervals_[pt_nr].first << " , " << intervals_[pt_nr].second << std::endl;
- std::cerr << "x_grid : " << x_grid << std::endl;
- std::cerr << "y_grid : " << y_grid << std::endl;
- }
-
- // x_grid and y_grid gives a center of the kernel. We want to have its lower left corner. To get this, we need to
- // shift x_grid and y_grid by a grid diameter.
- x_grid -= filter.size() / 2;
- y_grid -= filter.size() / 2;
- // note that the numbers x_grid and y_grid may be negative.
-
- if (dbg) {
- std::cerr << "After shift : \n";
- std::cerr << "x_grid : " << x_grid << std::endl;
- std::cerr << "y_grid : " << y_grid << std::endl;
- std::cerr << "filter.size() : " << filter.size() << std::endl;
- getchar();
- }
-
- for (size_t i = 0; i != filter.size(); ++i) {
- for (size_t j = 0; j != filter.size(); ++j) {
- // if the point (x_grid+i,y_grid+j) is the correct point in the grid.
- if (((x_grid + i) >= 0) && (x_grid + i < this->heat_map.size()) && ((y_grid + j) >= 0) &&
- (y_grid + j < this->heat_map.size())) {
- if (dbg) {
- std::cerr << y_grid + j << " " << x_grid + i << std::endl;
- }
- this->heat_map[y_grid + j][x_grid + i] += filter[i][j];
- this->heat_map[x_grid + i][y_grid + j] += -filter[i][j];
- }
- }
- }
- }
-} // construct
-
-} // namespace Persistence_representations
-} // namespace Gudhi
-
-#endif // PSSK_H_