CGAL 5.5.2  2D Triangulations on the Sphere

A triangulation is a 2dimensional simplicial complex that is pure, connected, and without singularities. It can be viewed as a collection of triangular faces, such that two faces either have an empty intersection or share an edge or a vertex.
This package handles triangulations of points on the 2sphere, and is thus tightly linked to the package 2D Triangulations, which handles triangulations of points in Euclidean 2D space, since both domains are 2manifolds. Concepts and classes are therefore similar to those of the package 2D Triangulations.
The basic elements of the representation are vertices and faces. Each triangular face gives access to its three incident vertices and to its three adjacent faces. Each vertex gives access to one of its incident faces and, through that face, to the circular list of its incident faces. The edges are not explicitly represented, they are only represented through the adjacency relations of two faces.
The triangulation classes of CGAL depend on two template parameters. The first template parameter stands for a geometric traits class which is assumed to provide the geometric objects (points, segments, ...) forming the triangulation and the geometric predicates on those objects. The second template parameter stands for a model of triangulation data structure acting as a container for faces and vertices while taking care of the combinatorial aspects of the triangulation. The concepts and models relative to the triangulation data structure are described in Chapter 2D Triangulation Data Structure.
TriangulationOnSphereTraits_2
DelaunayTriangulationOnSphereTraits_2
TriangulationOnSphereFaceBase_2
TriangulationOnSphereVertexBase_2
CGAL::Triangulation_on_sphere_face_base_2<Traits, Fb>
CGAL::Triangulation_on_sphere_vertex_base_2<Traits, Vb>
CGAL::Triangulation_on_sphere_2<Traits, TDS>
CGAL::Delaunay_triangulation_on_sphere_2<Traits, TDS>
Modules  
Concepts  
Triangulation Classes  
Vertex and Face Classes  