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persistence_landscape_on_grid.cpp
/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
* See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
* Author(s): Pawel Dlotko
*
* Copyright (C) 2016 Inria
*
* Modification(s):
* - YYYY/MM Author: Description of the modification
*/
#include <gudhi/Persistence_landscape_on_grid.h>
#include <iostream>
#include <utility>
#include <vector>
using Persistence_landscape_on_grid = Gudhi::Persistence_representations::Persistence_landscape_on_grid;
int main(int argc, char** argv) {
// create two simple vectors with birth--death pairs:
std::vector<std::pair<double, double> > persistence1;
std::vector<std::pair<double, double> > persistence2;
persistence1.push_back(std::make_pair(1, 2));
persistence1.push_back(std::make_pair(6, 8));
persistence1.push_back(std::make_pair(0, 4));
persistence1.push_back(std::make_pair(3, 8));
persistence2.push_back(std::make_pair(2, 9));
persistence2.push_back(std::make_pair(1, 6));
persistence2.push_back(std::make_pair(3, 5));
persistence2.push_back(std::make_pair(6, 10));
// create two persistence landscapes based on persistence1 and persistence2:
Persistence_landscape_on_grid l1(persistence1, 0, 11, 20);
Persistence_landscape_on_grid l2(persistence2, 0, 11, 20);
// This is how to compute integral of landscapes:
std::clog << "Integral of the first landscape : " << l1.compute_integral_of_landscape() << std::endl;
std::clog << "Integral of the second landscape : " << l2.compute_integral_of_landscape() << std::endl;
// And here how to write landscapes to stream:
std::clog << "l1 : " << l1 << std::endl;
std::clog << "l2 : " << l2 << std::endl;
// here are the maxima of the functions:
std::clog << "Maximum of l1 : " << l1.compute_maximum() << std::endl;
std::clog << "Maximum of l2 : " << l2.compute_maximum() << std::endl;
// here are the norms of landscapes:
std::clog << "L^1 Norm of l1 : " << l1.compute_norm_of_landscape(1.) << std::endl;
std::clog << "L^1 Norm of l2 : " << l2.compute_norm_of_landscape(1.) << std::endl;
// here is the average of landscapes:
Persistence_landscape_on_grid average;
average.compute_average({&l1, &l2});
std::clog << "average : " << average << std::endl;
// here is the distance of landscapes:
std::clog << "Distance : " << l1.distance(l2) << std::endl;
// here is the scalar product of landscapes:
std::clog << "Scalar product : " << l1.compute_scalar_product(l2) << std::endl;
// here is how to create a file which is suitable for visualization via gnuplot:
average.plot("average_landscape");
return 0;
}
Gudhi::Persistence_representations::Persistence_landscape_on_grid
A class implementing persistence landscapes by approximating them on a collection of grid points.
Definition Persistence_landscape_on_grid.h:59
Gudhi::Persistence_representations::Persistence_landscape_on_grid::compute_integral_of_landscape
double compute_integral_of_landscape() const
Definition Persistence_landscape_on_grid.h:140
Gudhi::Persistence_representations::Persistence_landscape_on_grid::compute_scalar_product
double compute_scalar_product(const Persistence_landscape_on_grid &second)
Definition Persistence_landscape_on_grid.h:877
Gudhi::Persistence_representations::Persistence_landscape_on_grid::distance
double distance(const Persistence_landscape_on_grid &second, double power=1) const
Definition Persistence_landscape_on_grid.h:864
Gudhi::Persistence_representations::Persistence_landscape_on_grid::compute_maximum
double compute_maximum() const
Definition Persistence_landscape_on_grid.h:468
Gudhi::Persistence_representations::Persistence_landscape_on_grid::compute_average
void compute_average(const std::vector< Persistence_landscape_on_grid * > &to_average)
Definition Persistence_landscape_on_grid.h:802
Gudhi::Persistence_representations::Persistence_landscape_on_grid::plot
void plot(const char *filename, size_t from_, size_t to_) const
Definition Persistence_landscape_on_grid.h:897
Gudhi::Persistence_representations::Persistence_landscape_on_grid::compute_norm_of_landscape
double compute_norm_of_landscape(double i) const
Definition Persistence_landscape_on_grid.h:532