CGAL 5.6.3 - Planar Parameterization of Triangulated Surface Meshes

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Surface_mesh_parameterization/orbifold.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Surface_mesh.h>
#include <CGAL/boost/graph/Seam_mesh.h>
#include <CGAL/Surface_mesh_parameterization/Orbifold_Tutte_parameterizer_3.h>
#include <CGAL/Polygon_mesh_processing/connected_components.h>
#include <CGAL/Polygon_mesh_processing/measure.h>
#include <CGAL/boost/graph/properties.h>
#include <CGAL/Timer.h>
#include <unordered_map>
#include <fstream>
#include <iostream>
#include <list>
#include <string>
#include <utility>
#include <vector>
typedef CGAL::Simple_cartesian<double> Kernel;
typedef Kernel::Point_2 Point_2;
typedef Kernel::Point_3 Point_3;
typedef CGAL::Surface_mesh<Kernel::Point_3> SurfaceMesh;
typedef boost::graph_traits<SurfaceMesh>::vertex_descriptor SM_vertex_descriptor;
typedef boost::graph_traits<SurfaceMesh>::halfedge_descriptor SM_halfedge_descriptor;
typedef boost::graph_traits<SurfaceMesh>::edge_descriptor SM_edge_descriptor;
typedef SurfaceMesh::Property_map<SM_edge_descriptor, bool> Seam_edge_pmap;
typedef SurfaceMesh::Property_map<SM_vertex_descriptor, bool> Seam_vertex_pmap;
typedef CGAL::Seam_mesh<SurfaceMesh, Seam_edge_pmap, Seam_vertex_pmap> Mesh;
typedef boost::graph_traits<Mesh>::vertex_descriptor vertex_descriptor;
typedef boost::graph_traits<Mesh>::halfedge_descriptor halfedge_descriptor;
typedef SurfaceMesh::Property_map<SM_halfedge_descriptor, Point_2> UV_pmap;
namespace SMP = CGAL::Surface_mesh_parameterization;
int main(int argc, char** argv)
{
CGAL::Timer task_timer;
task_timer.start();
const std::string filename = (argc>1) ? argv[1] : CGAL::data_file_path("meshes/bear.off");
SurfaceMesh sm;
if(!CGAL::IO::read_polygon_mesh(filename, sm))
{
std::cerr << "Invalid input file." << std::endl;
return EXIT_FAILURE;
}
// Selection file that contains the cones and possibly the path between cones
// -- the first line for the cones indices
// -- the second line must be empty
// -- the third line optionally provides the seam edges indices as 'e11 e12 e21 e22 e31 e32' etc.
const char* cone_filename = (argc>2) ? argv[2] : "data/bear.selection.txt";
// Read the cones and compute their corresponding vertex_descriptor in the underlying mesh 'sm'
std::vector<SM_vertex_descriptor> cone_sm_vds;
SMP::read_cones<SurfaceMesh>(sm, cone_filename, std::back_inserter(cone_sm_vds));
// Two property maps to store the seam edges and vertices
Seam_edge_pmap seam_edge_pm = sm.add_property_map<SM_edge_descriptor, bool>("e:on_seam", false).first;
Seam_vertex_pmap seam_vertex_pm = sm.add_property_map<SM_vertex_descriptor, bool>("v:on_seam",false).first;
// The seam mesh
Mesh mesh(sm, seam_edge_pm, seam_vertex_pm);
// If provided, use the path between cones to create a seam mesh
SM_halfedge_descriptor smhd = mesh.add_seams(cone_filename);
// If not provided, compute the paths using shortest paths
if(smhd == SM_halfedge_descriptor() ) {
std::cout << "No seams given in input, computing the shortest paths between consecutive cones" << std::endl;
std::list<SM_edge_descriptor> seam_edges;
SMP::compute_shortest_paths_between_cones(sm, cone_sm_vds.begin(), cone_sm_vds.end(), seam_edges);
// Add the seams to the seam mesh
for(SM_edge_descriptor e : seam_edges) {
mesh.add_seam(source(e, sm), target(e, sm));
}
}
std::cout << mesh.number_of_seam_edges() << " seam edges in input" << std::endl;
// Index map of the seam mesh (assuming a single connected component so far)
typedef std::unordered_map<vertex_descriptor, int> Indices;
Indices indices;
boost::associative_property_map<Indices> vimap(indices);
int counter = 0;
for(vertex_descriptor vd : vertices(mesh)) {
put(vimap, vd, counter++);
}
// Mark the cones in the seam mesh
std::unordered_map<vertex_descriptor, SMP::Cone_type> cmap;
SMP::locate_cones(mesh, cone_sm_vds.begin(), cone_sm_vds.end(), cmap);
// The 2D points of the uv parametrisation will be written into this map
// Note that this is a halfedge property map, and that uv values
// are only stored for the canonical halfedges representing a vertex
UV_pmap uvmap = sm.add_property_map<SM_halfedge_descriptor, Point_2>("h:uv").first;
// Parameterizer
typedef SMP::Orbifold_Tutte_parameterizer_3<Mesh> Parameterizer;
Parameterizer parameterizer(SMP::Triangle, SMP::Cotangent);
// a halfedge on the (possibly virtual) border
// only used in output (will also be used to handle multiple connected components in the future)
halfedge_descriptor bhd = CGAL::Polygon_mesh_processing::longest_border(mesh).first;
parameterizer.parameterize(mesh, bhd, cmap, uvmap, vimap);
std::cout << "Finished in " << task_timer.time() << " seconds" << std::endl;
return EXIT_SUCCESS;
}
CGAL::Seam_mesh
CGAL::Surface_mesh
CGAL::Timer
CGAL::Timer::time
double time() const
CGAL::Timer::start
void start()
Kernel::Point_2
Kernel::Point_3
CGAL::IO::read_polygon_mesh
bool read_polygon_mesh(const std::string &fname, Graph &g, const NamedParameters &np=parameters::default_values())
Kernel
CGAL::Simple_cartesian