CGAL 6.1.1 - Surface Mesh Topology

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Surface_mesh_topology/edgewidth_surface_mesh.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Surface_mesh.h>
#include <CGAL/Curves_on_surface_topology.h>
#include <CGAL/Path_on_surface.h>
#include <CGAL/squared_distance_3.h>
#include <CGAL/draw_face_graph_with_paths.h>
#include <fstream>
using Mesh = CGAL::Surface_mesh<CGAL::Simple_cartesian<double>::Point_3>;
using Path_on_surface = CGAL::Surface_mesh_topology::Path_on_surface<Mesh>;
double cycle_length(const Mesh& mesh, const Path_on_surface& cycle)
{ // Compute the length of the given cycle.
double res=0;
for (std::size_t i=0; i<cycle.length(); ++i)
{ res+=std::sqrt
(CGAL::squared_distance(mesh.point(mesh.vertex(mesh.edge(cycle[i]), 0)),
mesh.point(mesh.vertex(mesh.edge(cycle[i]), 1)))); }
return res;
}
void display_cycle_info(const Mesh& mesh, const Path_on_surface& cycle)
{ // Display information about the given cycle.
if (cycle.is_empty()) { std::cout<<"Empty."<<std::endl; return; }
std::cout<<"Root: "<<mesh.point(mesh.vertex(mesh.edge(cycle[0]), 0))<<"; "
<<"Number of edges: "<<cycle.length()<<"; "
<<"Length: "<<cycle_length(mesh, cycle)<<std::endl;
}
int main(int argc, char* argv[])
{
std::string filename(argc==1?CGAL::data_file_path("meshes/3torus.off"):argv[1]);
bool draw=(argc<3?false:(std::string(argv[2])=="-draw"));
Mesh sm;
if(!CGAL::IO::read_polygon_mesh(filename, sm))
{
std::cout<<"Cannot read file '"<<filename<<"'. Exiting program"<<std::endl;
return EXIT_FAILURE;
}
std::cout<<"File '"<<filename<<"' loaded. Finding edge-width of the mesh..."<<std::endl;
CGAL::Surface_mesh_topology::Curves_on_surface_topology<Mesh> cst(sm, true);
Path_on_surface cycle1=cst.compute_edge_width(true);
CGAL::Surface_mesh_topology::Euclidean_length_weight_functor<Mesh> wf(sm);
Path_on_surface cycle2=cst.compute_shortest_non_contractible_cycle(wf, true);
std::cout<<"Cycle 1 (pink): "; display_cycle_info(sm, cycle1);
std::cout<<"Cycle 2 (green): "; display_cycle_info(sm, cycle2);
if (draw)
{
auto cycles={cycle1, cycle2};
CGAL::draw(sm, cycles);
}
return EXIT_SUCCESS;
}
CGAL::Surface_mesh_topology::Curves_on_surface_topology
The class Curves_on_surface_topology provides methods to compute shortest non contractible cycles and...
Definition: Curves_on_surface_topology.h:13
CGAL::Surface_mesh_topology::Path_on_surface
The class Path_on_surface represents a walk in a mesh which is either a model of CombinatorialMap,...
Definition: Path_on_surface.h:13
CGAL::Surface_mesh
CGAL::IO::read_polygon_mesh
bool read_polygon_mesh(const std::string &fname, Graph &g, const NamedParameters &np=parameters::default_values())
CGAL::draw
void draw(const LCC &lcc, const GSOptions &gso)
draw
void draw(const SM &sm, const GSOptions &gso)
CGAL::Surface_mesh_topology::Euclidean_length_weight_functor
A model of WeightFunctor assigning its Euclidean length to every edge.
Definition: Curves_on_surface_topology.h:90