or [Ket99], but the default instantiation of the polyhedral
surface can be used without knowing the halfedge data structure.
Polyhedral surfaces in three dimensions are composed of vertices, edges, facets and an incidence relationship on them. The organization beneath is a halfedge data structure, which restricts the class of representable surfaces to orientable 2-manifolds - with and without boundary. If the surface is closed we call it a polyhedron.
The polyhedral surface is realized as a container class managing
vertices, halfedges, facets with their incidences, and maintaining the
combinatorial integrity of them. Its local types for the vertices,
halfedges and facets are documented separately. A default traits
class, a default items class and an incremental builder conclude the
references. The polyhedral surface is based on the highly flexible
design of the halfedge data structure, see the reference for
HalfedgeDS in Chapter
or [Ket99], but the default instantiation of the polyhedral
surface can be used without knowing the halfedge data structure.
PolyhedronTraits_3
PolyhedronItems_3
CGAL::Polyhedron_3<Traits>
CGAL::Polyhedron_3<Traits>::Vertex
CGAL::Polyhedron_3<Traits>::Halfedge
CGAL::Polyhedron_3<Traits>::Facet
CGAL::Polyhedron_traits_3<Kernel>
CGAL::Polyhedron_traits_with_normals_3<Kernel>
CGAL::Polyhedron_items_3
CGAL::Polyhedron_min_items_3
CGAL::Polyhedron_incremental_builder_3<HDS>
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