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#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Polygon_mesh_processing/interpolated_corrected_curvatures.h>
#include <CGAL/Polygon_mesh_processing/IO/polygon_mesh_io.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/property_map.h>
#include <boost/graph/graph_traits.hpp>
#include <iostream>
#include <string>
namespace PMP = CGAL::Polygon_mesh_processing;
typedef CGAL::Exact_predicates_inexact_constructions_kernel Epic_kernel;
typedef CGAL::Polyhedron_3<Epic_kernel> Mesh;
typedef boost::graph_traits<Mesh>::vertex_descriptor vertex_descriptor;
int main(int argc, char* argv[])
{
Mesh polyhedron;
const std::string filename = (argc > 1) ?
argv[1] :
CGAL::data_file_path("meshes/sphere.off");
if (!CGAL::IO::read_polygon_mesh(filename, polyhedron))
{
std::cerr << "Invalid input file." << std::endl;
return EXIT_FAILURE;
}
// define property map to store curvature value and directions
boost::property_map<Mesh, CGAL::dynamic_vertex_property_t<Epic_kernel::FT>>::type
mean_curvature_map = get(CGAL::dynamic_vertex_property_t<Epic_kernel::FT>(), polyhedron),
Gaussian_curvature_map = get(CGAL::dynamic_vertex_property_t<Epic_kernel::FT>(), polyhedron);
boost::property_map<Mesh, CGAL::dynamic_vertex_property_t<PMP::Principal_curvatures_and_directions<Epic_kernel>>>::type
principal_curvatures_and_directions_map =
get(CGAL::dynamic_vertex_property_t<PMP::Principal_curvatures_and_directions<Epic_kernel>>(), polyhedron);
PMP::interpolated_corrected_curvatures(polyhedron,
CGAL::parameters::vertex_mean_curvature_map(mean_curvature_map)
.vertex_Gaussian_curvature_map(Gaussian_curvature_map)
.vertex_principal_curvatures_and_directions_map(principal_curvatures_and_directions_map)
// uncomment to use an expansion ball radius of 0.5 to estimate the curvatures
// .ball_radius(0.5)
);
int i = 0;
for (vertex_descriptor v : vertices(polyhedron))
{
auto PC = get(principal_curvatures_and_directions_map, v);
std::cout << i << ": HC = " << get(mean_curvature_map, v)
<< ", GC = " << get(Gaussian_curvature_map, v) << "\n"
<< ", PC = [ " << PC.min_curvature << " , " << PC.max_curvature << " ]\n";
i++;
}
}
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