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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/Surface_mesh.h>
#include <CGAL/property_map.h>
#include <boost/graph/graph_traits.hpp>
#include <iostream>
namespace PMP = CGAL::Polygon_mesh_processing;
typedef CGAL::Exact_predicates_inexact_constructions_kernel Epic_kernel;
typedef CGAL::Surface_mesh<Epic_kernel::Point_3> Mesh;
typedef boost::graph_traits<Mesh>::vertex_descriptor vertex_descriptor;
int main(int argc, char* argv[])
{
Mesh smesh;
const std::string filename = (argc > 1) ?
argv[1] :
CGAL::data_file_path("meshes/sphere.off");
if (!CGAL::IO::read_polygon_mesh(filename, smesh))
{
std::cerr << "Invalid input file." << std::endl;
return EXIT_FAILURE;
}
// creating and tying surface mesh property maps for curvatures (with defaults = 0)
bool created = false;
Mesh::Property_map<vertex_descriptor, Epic_kernel::FT>
mean_curvature_map, Gaussian_curvature_map;
std::tie(mean_curvature_map, created) =
smesh.add_property_map<vertex_descriptor, Epic_kernel::FT>("v:mean_curvature_map", 0);
assert(created);
std::tie(Gaussian_curvature_map, created) =
smesh.add_property_map<vertex_descriptor, Epic_kernel::FT>("v:Gaussian_curvature_map", 0);
assert(created);
// we use a tuple of 2 scalar values and 2 vectors for principal curvatures and directions
Mesh::Property_map<vertex_descriptor, PMP::Principal_curvatures_and_directions<Epic_kernel>>
principal_curvatures_and_directions_map;
std::tie(principal_curvatures_and_directions_map, created) =
smesh.add_property_map<vertex_descriptor, PMP::Principal_curvatures_and_directions<Epic_kernel>>
("v:principal_curvatures_and_directions_map", { 0, 0,
Epic_kernel::Vector_3(0,0,0),
Epic_kernel::Vector_3(0,0,0) });
assert(created);
PMP::interpolated_corrected_curvatures(smesh,
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)
);
for (vertex_descriptor v : vertices(smesh))
{
auto PC = principal_curvatures_and_directions_map[v];
std::cout << v.idx() << ": HC = " << mean_curvature_map[v]
<< ", GC = " << Gaussian_curvature_map[v] << "\n"
<< ", PC = [ " << PC.min_curvature << " , " << PC.max_curvature << " ]\n";
}
return 0;
}
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