CGAL 5.3.2 - The Heat Method
Heat_method_3/heat_method_surface_mesh.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Surface_mesh.h>
#include <CGAL/Heat_method_3/Surface_mesh_geodesic_distances_3.h>
#include <fstream>
#include <iostream>
typedef Kernel::Point_3 Point_3;
typedef CGAL::Surface_mesh<Point_3> Triangle_mesh;
typedef boost::graph_traits<Triangle_mesh>::vertex_descriptor vertex_descriptor;
typedef Triangle_mesh::Property_map<vertex_descriptor,double> Vertex_distance_map;
int main(int argc, char* argv[])
{
const char* filename = (argc > 1) ? argv[1] : "./data/sphere.off";
Triangle_mesh tm;
if(!CGAL::IO::read_polygon_mesh(filename, tm) ||
{
std::cerr << "Invalid input file." << std::endl;
return EXIT_FAILURE;
}
//property map for the distance values to the source set
Vertex_distance_map vertex_distance = tm.add_property_map<vertex_descriptor, double>("v:distance", 0).first;
Heat_method hm(tm);
//add the first vertex as the source set
vertex_descriptor source = *(vertices(tm).first);
hm.add_source(source);
hm.estimate_geodesic_distances(vertex_distance);
Point_3 sp = tm.point(source);
std::cout << "source: " << sp << " " << source << std::endl;
vertex_descriptor vfar;
double sdistance = 0;
for(vertex_descriptor vd : vertices(tm)){
std::cout << vd << " is at distance " << get(vertex_distance, vd) << " to " << source << std::endl;
if(get(vertex_distance, vd) > sdistance){
vfar = vd;
sdistance = get(vertex_distance, vd);
}
}
std::cout << "vfar: " << tm.point(vfar) << " " << vfar << std::endl;
hm.add_source(vfar);
hm.estimate_geodesic_distances(vertex_distance);
for(vertex_descriptor vd : vertices(tm)){
std::cout << vd << " is at distance " << get(vertex_distance, vd) << "to the set of two sources" << std::endl;
}
std::cout << "done" << std::endl;
return 0;
}