\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.11 - Planar Parameterization of Triangulated Surface Meshes
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Surface_mesh_parameterization/discrete_authalic.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/Discrete_authalic_parameterizer_3.h>
#include <CGAL/Surface_mesh_parameterization/Error_code.h>
#include <CGAL/Surface_mesh_parameterization/parameterize.h>
#include <CGAL/Polygon_mesh_processing/measure.h>
#include <boost/foreach.hpp>
#include <cstdlib>
#include <iostream>
#include <fstream>
typedef Kernel::Point_2 Point_2;
typedef Kernel::Point_3 Point_3;
typedef boost::graph_traits<SurfaceMesh>::halfedge_descriptor halfedge_descriptor;
typedef boost::graph_traits<SurfaceMesh>::vertex_descriptor vertex_descriptor;
typedef boost::graph_traits<SurfaceMesh>::face_descriptor face_descriptor;
namespace SMP = CGAL::Surface_mesh_parameterization;
int main(int argc, char * argv[])
{
std::ifstream in((argc>1) ? argv[1] : "data/three_peaks.off");
if(!in) {
std::cerr << "Problem loading the input data" << std::endl;
return 1;
}
SurfaceMesh sm;
in >> sm;
// A halfedge on the border
halfedge_descriptor bhd = CGAL::Polygon_mesh_processing::longest_border(sm).first;
// The 2D points of the uv parametrisation will be written into this map
typedef SurfaceMesh::Property_map<vertex_descriptor, Point_2> UV_pmap;
UV_pmap uv_map = sm.add_property_map<vertex_descriptor, Point_2>("v:uv").first;
typedef SMP::Circular_border_arc_length_parameterizer_3<SurfaceMesh> Border_parameterizer;
typedef SMP::Discrete_authalic_parameterizer_3<SurfaceMesh, Border_parameterizer> Parameterizer;
SMP::Error_code err = SMP::parameterize(sm, Parameterizer(), bhd, uv_map);
if(err != SMP::OK) {
std::cerr << "Error: " << SMP::get_error_message(err) << std::endl;
return 1;
}
std::ofstream out("result.off");
SMP::IO::output_uvmap_to_off(sm, bhd, uv_map, out);
return 0;
}