CGAL 5.6.3 - Planar Parameterization of Triangulated Surface Meshes

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Surface_mesh_parameterization/iterative_authalic_parameterizer.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Surface_mesh.h>
#include <CGAL/Surface_mesh_parameterization/IO/File_off.h>
#include <CGAL/Surface_mesh_parameterization/Circular_border_parameterizer_3.h>
#include <CGAL/Surface_mesh_parameterization/Iterative_authalic_parameterizer_3.h>
#include <CGAL/Polygon_mesh_processing/measure.h>
#include <CGAL/Unique_hash_map.h>
#include <cstdlib>
#include <iostream>
#include <fstream>
typedef CGAL::Simple_cartesian<double> Kernel;
typedef Kernel::Point_2 Point_2;
typedef Kernel::Point_3 Point_3;
typedef CGAL::Surface_mesh<Point_3> Surface_mesh;
typedef boost::graph_traits<Surface_mesh>::vertex_descriptor vertex_descriptor;
typedef boost::graph_traits<Surface_mesh>::halfedge_descriptor halfedge_descriptor;
typedef CGAL::Unique_hash_map<vertex_descriptor, Point_2> UV_uhm;
typedef boost::associative_property_map<UV_uhm> UV_pmap;
namespace SMP = CGAL::Surface_mesh_parameterization;
int main(int argc, char** argv)
{
std::ifstream in((argc>1) ? argv[1] : CGAL::data_file_path("meshes/nefertiti.off"));
if(!in)
{
std::cerr << "Error: problem loading the input data" << std::endl;
return EXIT_FAILURE;
}
Surface_mesh sm;
in >> sm;
halfedge_descriptor bhd = CGAL::Polygon_mesh_processing::longest_border(sm).first;
// The 2D points of the uv parametrisation will be written into this map
UV_uhm uv_uhm;
UV_pmap uv_map(uv_uhm);
typedef SMP::Circular_border_arc_length_parameterizer_3<Surface_mesh> Border_parameterizer;
Border_parameterizer border_parameterizer;
typedef SMP::Iterative_authalic_parameterizer_3<Surface_mesh, Border_parameterizer> Parameterizer;
Parameterizer parameterizer(border_parameterizer);
const unsigned int iterations = (argc > 2) ? std::atoi(argv[2]) : 15;
SMP::Error_code err = parameterizer.parameterize(sm, bhd, uv_map, iterations);
if(err != SMP::OK)
{
std::cerr << "Error: " << SMP::get_error_message(err) << std::endl;
return EXIT_FAILURE;
}
std::ofstream out("iterative_result.off");
SMP::IO::output_uvmap_to_off(sm, bhd, uv_map, out);
return EXIT_SUCCESS;
}
CGAL::Surface_mesh
CGAL::Unique_hash_map
Kernel::Point_2
Kernel::Point_3
Kernel
CGAL::Simple_cartesian