.
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 explicitely represented, they are only represented through the adjacencies 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 and triangles)
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 .
TriangulationFaceBase_2
TriangulationVertexBase_2
ConstrainedTriangulationFaceBase_2
RegularTriangulationFaceBase_2
RegularTriangulationVertexBase_2
TriangulationHierarchyVertexBase_2
CGAL::Triangulation_2<Traits,Tds>
CGAL::Delaunay_triangulation_2<Traits,Tds>
CGAL::Regular_triangulation_2<Traits,Tds>
CGAL::Constrained_triangulation_2<Traits,Tds,Itag>
CGAL::Constrained_Delaunay_triangulation_2<Traits,Tds,Itag>
CGAL::Constrained_triangulation_plus_2<Tr>
CGAL::Triangulation_hierarchy_2<Tr>
CGAL::Triangulation_euclidean_traits_2<K>
CGAL::Triangulation_euclidean_traits_xy_3<K>
CGAL::Regular_triangulation_euclidean_traits_2<K,Weight>
CGAL::Regular_triangulation_filtered_traits_2<FK>
CGAL::Triangulation_face_base_2<Traits,Fb>
CGAL::Triangulation_vertex_base_2<Traits,Vb>
CGAL::Regular_triangulation_face_base_2<Traits,Fb>
CGAL::Regular_triangulation_vertex_base_2<Traits,Vb>
CGAL::Constrained_triangulation_face_base_2<Traits,Fb>
CGAL::Triangulation_vertex_base_with_info_2<Info,Traits,Vb>
CGAL::Triangulation_face_base_with_info_2<Info,Traits,Fb>
CGAL::Triangulation_hierarchy_vertex_base_2<Vb>
CGAL::Weighted_point<Pt,Wt>
CGAL::Triangulation_cw_ccw_2