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CGAL 6.0 - 3D Polyhedral Surface
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#include <CGAL/Polyhedron_3.h>
A vertex optionally stores a point and a reference to an incident halfedge that points to the vertex.
Type tags indicate whether these member functions are supported. Figure figurePolyOptionalMethods depicts the relationship between a halfedge and its incident halfedges, vertices, and facets. The circulator is assignable to the Halfedge_handle. The circulator is bidirectional if the halfedge provided to the polyhedron with the Items template argument provides a member function Halfedge::prev(), otherwise it is of the forward category.
CGAL::Polyhedron_3::Halfedge CGAL::Polyhedron_3::Facet CGAL::Polyhedron_3<Traits> Types | |
| typedef unspecified_type | Halfedge |
| type of incident halfedges. | |
| typedef unspecified_type | Facet |
| type of incident facets. | |
| typedef unspecified_type | Point_3 |
| point type stored in vertices. | |
| typedef unspecified_type | Vertex_handle |
| handle to vertex. | |
| typedef unspecified_type | Halfedge_handle |
| handle to halfedge. | |
| typedef unspecified_type | Facet_handle |
| handle to facet. | |
| typedef unspecified_type | Halfedge_around_vertex_circulator |
| circulator of halfedges around a vertex. | |
| typedef unspecified_type | Vertex_const_handle |
| typedef unspecified_type | Halfedge_const_handle |
| typedef unspecified_type | Facet_const_handle |
| typedef unspecified_type | Halfedge_around_vertex_const_circulator |
| typedef unspecified_type | Supports_vertex_halfedge |
\( \equiv\) CGAL::Tag_true or CGAL::Tag_false. | |
| typedef unspecified_type | Supports_vertex_point |
\( \equiv\) CGAL::Tag_true or CGAL::Tag_false. | |
Creation | |
| Vertex () | |
| default constructor. | |
| Vertex (const Point &p) | |
| vertex initialized with a point. | |
Operations available if Supports_vertex_point is CGAL::Tag_true | |
| Point_3 & | point () |
| const Point_3 & | point () const |
| the point. | |
Operations available if Supports_vertex_halfedge is CGAL::Tag_true | |
| Halfedge_handle | halfedge () |
| Halfedge_const_handle | halfedge () const |
an incident halfedge that points to v. | |
| Halfedge_around_vertex_circulator | vertex_begin () |
| Halfedge_around_vertex_const_circulator | vertex_begin () const |
| circulator of halfedges around the vertex (clockwise). | |
| void | set_halfedge (Halfedge_handle h) |
sets incident halfedge to h. | |
| std::size_t | vertex_degree () const |
| the degree of the vertex, i.e., number of edges emanating from this vertex. | |
| bool | is_bivalent () const |
returns true if the vertex has exactly two incident edges. | |
| bool | is_trivalent () const |
returns true if the vertex has exactly three incident edges. | |
| void CGAL::Polyhedron_3< Traits >::Vertex::set_halfedge | ( | Halfedge_handle | h | ) |
sets incident halfedge to h.
h is incident, i.e., h->vertex() == v.