CGAL 5.6.3 - 2D Triangulations on the Sphere

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Triangulation_on_sphere_2/triang_on_sphere_proj.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_on_sphere_2.h>
#include <CGAL/Projection_on_sphere_traits_3.h>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Projection_on_sphere_traits_3<K> Traits;
typedef CGAL::Delaunay_triangulation_on_sphere_2<Traits> DToS2;
typedef Traits::Point_3 Point_3;
int main(int, char**)
{
std::vector<Point_3> points;
points.emplace_back( 3, 1, 1);
points.emplace_back(-8, 1, 1);
points.emplace_back( 1, 2, 1);
points.emplace_back( 1, -2, 1);
points.emplace_back( 1, 1, 10);
Traits traits(Point_3(1,1,1)); // radius is 1 by default
DToS2 dtos(traits);
Traits::Construct_point_on_sphere_2 cst = traits.construct_point_on_sphere_2_object();
for(const auto& pt : points)
{
std::cout << "----- Inserting (" << pt
<< ") at squared distance " << CGAL::squared_distance(pt, traits.center())
<< " from the center of the sphere" << std::endl;
dtos.insert(cst(pt));
std::cout << "The triangulation now has dimension: " << dtos.dimension() << " and\n";
std::cout << dtos.number_of_vertices() << " vertices" << std::endl;
std::cout << dtos.number_of_edges() << " edges" << std::endl;
std::cout << dtos.number_of_solid_faces() << " solid faces" << std::endl;
std::cout << dtos.number_of_ghost_faces() << " ghost faces" << std::endl;
}
CGAL::IO::write_OFF("result.off", dtos, CGAL::parameters::stream_precision(17));
return EXIT_SUCCESS;
}
CGAL::Delaunay_triangulation_on_sphere_2
The class Delaunay_triangulation_on_sphere_2 is designed to represent the Delaunay triangulation of a...
Definition: Delaunay_triangulation_on_sphere_2.h:32
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::Projection_on_sphere_traits_3
The class Projection_on_sphere_traits_3 is a model of the concept DelaunayTriangulationOnSphereTraits...
Definition: Projection_on_sphere_traits_3.h:23
CGAL::IO::write_OFF
bool write_OFF(std::ostream &os, const PointRange &points, const PolygonRange &polygons, const NamedParameters &np=parameters::default_values())
CGAL::squared_distance
Kernel::FT squared_distance(Type1< Kernel > obj1, Type2< Kernel > obj2)