\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0 - Optimal Transportation Curve Reconstruction
Optimal_transportation_reconstruction_2/otr2_simplest_example_with_tolerance.cpp
// Simplest example with tolerance for
// Optimal_transportation_reconstruction_2, with no mass attributes
// for the input points
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/Optimal_transportation_reconstruction_2.h>
#include <fstream>
#include <iostream>
#include <vector>
typedef K::Point_2 Point;
int main ()
{
// Generate 100 random points on the boundary of a square.
std::vector<Point> points;
CGAL::Random_points_on_square_2<Point> point_generator(1.);
std::copy_n(point_generator, 100, std::back_inserter(points));
Otr otr(points); // no mass given, one unit mass per point assumed
otr.run_under_wasserstein_tolerance(0.1);
return 0;
}