\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - Triangulated Surface Mesh Shortest Paths

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Surface_mesh_shortest_path/shortest_path_sequence.cpp
#include <cstdlib>
#include <iostream>
#include <fstream>
#include <iterator>
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Random.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/Polyhedron_items_with_id_3.h>
#include <CGAL/IO/Polyhedron_iostream.h>
#include <CGAL/Surface_mesh_shortest_path.h>
#include <CGAL/boost/graph/graph_traits_Polyhedron_3.h>
#include <CGAL/boost/graph/iterator.h>
#include <boost/variant.hpp>
typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
typedef CGAL::Polyhedron_3<Kernel, CGAL::Polyhedron_items_with_id_3> Polyhedron_3;
typedef CGAL::Surface_mesh_shortest_path_traits<Kernel, Polyhedron_3> Traits;
typedef CGAL::Surface_mesh_shortest_path<Traits> Surface_mesh_shortest_path;
typedef Traits::Barycentric_coordinate Barycentric_coordinate;
typedef boost::graph_traits<Polyhedron_3> Graph_traits;
typedef Graph_traits::vertex_iterator vertex_iterator;
typedef Graph_traits::face_iterator face_iterator;
typedef Graph_traits::vertex_descriptor vertex_descriptor;
typedef Graph_traits::face_descriptor face_descriptor;
typedef Graph_traits::halfedge_descriptor halfedge_descriptor;
// A model of SurfaceMeshShortestPathVisitor storing simplicies
// using boost::variant
struct Sequence_collector
{
typedef boost::variant< vertex_descriptor,
std::pair<halfedge_descriptor,double>,
std::pair<face_descriptor, Barycentric_coordinate> > Simplex;
std::vector< Simplex > sequence;
void operator()(halfedge_descriptor he, double alpha)
{
sequence.push_back( std::make_pair(he, alpha) );
}
void operator()(vertex_descriptor v)
{
sequence.push_back( v );
}
void operator()(face_descriptor f, Barycentric_coordinate alpha)
{
sequence.push_back( std::make_pair(f, alpha) );
}
};
// A visitor to print what a variant contains using boost::apply_visitor
struct Print_visitor : public boost::static_visitor<> {
int i;
Polyhedron_3& g;
Print_visitor(Polyhedron_3& g) :i(-1), g(g) {}
void operator()(vertex_descriptor v)
{
std::cout << "#" << ++i << " : Vertex : " << get(boost::vertex_index, g)[v] << "\n";
}
void operator()(const std::pair<halfedge_descriptor,double>& h_a)
{
std::cout << "#" << ++i << " : Edge : " << get(CGAL::halfedge_index, g)[h_a.first] << " , ("
<< 1.0 - h_a.second << " , "
<< h_a.second << ")\n";
}
void operator()(const std::pair<face_descriptor, Barycentric_coordinate>& f_bc)
{
std::cout << "#" << ++i << " : Face : " << get(CGAL::face_index, g)[f_bc.first] << " , ("
<< f_bc.second[0] << " , "
<< f_bc.second[1] << " , "
<< f_bc.second[2] << ")\n";
}
};
int main(int argc, char** argv)
{
// read input polyhedron
Polyhedron_3 polyhedron;
std::ifstream input((argc>1)?argv[1]:"data/elephant.off");
input >> polyhedron;
input.close();
// initialize indices of vertices, halfedges and facets
CGAL::set_halfedgeds_items_id(polyhedron);
// pick up a random face
const size_t randSeed = argc > 2 ? std::atoi(argv[2]) : 7915421;
CGAL::Random rand(randSeed);
const int target_face_index = rand.get_int(0, num_faces(polyhedron));
face_iterator face_it = faces(polyhedron).first;
std::advance(face_it,target_face_index);
// ... and define a barycentric coordinate inside the face
Barycentric_coordinate face_location = {{0.25, 0.5, 0.25}};
// construct a shortest path query object and add a source point
Surface_mesh_shortest_path shortest_paths(polyhedron);
shortest_paths.add_source_point(*face_it, face_location);
// pick a random target point inside a face
face_it = faces(polyhedron).first;
std::advance(face_it, rand.get_int(0, num_faces(polyhedron)));
// collect the sequence of simplicies crossed by the shortest path
Sequence_collector sequence_collector;
shortest_paths.shortest_path_sequence_to_source_points(*face_it, face_location, sequence_collector);
// print the sequence using the visitor pattern
Print_visitor print_visitor(polyhedron);
for (size_t i = 0; i < sequence_collector.sequence.size(); ++i)
boost::apply_visitor(print_visitor, sequence_collector.sequence[i]);
return 0;
}