|
CGAL 5.1 - 3D Polyhedral Surface
|
|
CGAL 5.1 - 3D Polyhedral Surface
|
#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. More... | |
| typedef unspecified_type | Facet |
| type of incident facets. More... | |
| typedef unspecified_type | Point_3 |
| point type stored in vertices. More... | |
| typedef unspecified_type | Vertex_handle |
| handle to vertex. More... | |
| typedef unspecified_type | Halfedge_handle |
| handle to halfedge. More... | |
| typedef unspecified_type | Facet_handle |
| handle to facet. More... | |
| typedef unspecified_type | Halfedge_around_vertex_circulator |
| circulator of halfedges around a vertex. More... | |
| 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. More... | |
| typedef unspecified_type | Supports_vertex_point |
\( \equiv\) CGAL::Tag_true or CGAL::Tag_false. More... | |
Creation | |
| Vertex () | |
| default constructor. More... | |
| Vertex (const Point &p) | |
| vertex initialized with a point. More... | |
Operations available if Supports_vertex_point is CGAL::Tag_true | |
| Point_3 & | point () |
| const Point_3 & | point () const |
| the point. More... | |
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. More... | |
| Halfedge_around_vertex_circulator | vertex_begin () |
| Halfedge_around_vertex_const_circulator | vertex_begin () const |
| circulator of halfedges around the vertex (clockwise). More... | |
| void | set_halfedge (Halfedge_handle h) |
sets incident halfedge to h. More... | |
| std::size_t | vertex_degree () const |
| the degree of the vertex, i.e., number of edges emanating from this vertex. More... | |
| bool | is_bivalent () const |
returns true if the vertex has exactly two incident edges. More... | |
| bool | is_trivalent () const |
returns true if the vertex has exactly three incident edges. More... | |
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Facet |
type of incident facets.
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Facet_const_handle |
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Facet_handle |
handle to facet.
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Halfedge |
type of incident halfedges.
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Halfedge_around_vertex_circulator |
circulator of halfedges around a vertex.
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Halfedge_around_vertex_const_circulator |
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Halfedge_const_handle |
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Halfedge_handle |
handle to halfedge.
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Point_3 |
point type stored in vertices.
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Supports_vertex_halfedge |
\( \equiv\) CGAL::Tag_true or CGAL::Tag_false.
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Supports_vertex_point |
\( \equiv\) CGAL::Tag_true or CGAL::Tag_false.
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Vertex_const_handle |
| typedef unspecified_type CGAL::Polyhedron_3< Traits >::Vertex::Vertex_handle |
handle to vertex.
| CGAL::Polyhedron_3< Traits >::Vertex::Vertex | ( | ) |
default constructor.
| CGAL::Polyhedron_3< Traits >::Vertex::Vertex | ( | const Point & | p | ) |
vertex initialized with a point.
| Halfedge_handle CGAL::Polyhedron_3< Traits >::Vertex::halfedge | ( | ) |
| Halfedge_const_handle CGAL::Polyhedron_3< Traits >::Vertex::halfedge | ( | ) | const |
an incident halfedge that points to v.
| bool CGAL::Polyhedron_3< Traits >::Vertex::is_bivalent | ( | ) | const |
returns true if the vertex has exactly two incident edges.
| bool CGAL::Polyhedron_3< Traits >::Vertex::is_trivalent | ( | ) | const |
returns true if the vertex has exactly three incident edges.
| Point_3& CGAL::Polyhedron_3< Traits >::Vertex::point | ( | ) |
| const Point_3& CGAL::Polyhedron_3< Traits >::Vertex::point | ( | ) | const |
the point.
| void CGAL::Polyhedron_3< Traits >::Vertex::set_halfedge | ( | Halfedge_handle | h | ) |
sets incident halfedge to h.
h is incident, i.e., h->vertex() == v. | Halfedge_around_vertex_circulator CGAL::Polyhedron_3< Traits >::Vertex::vertex_begin | ( | ) |
| Halfedge_around_vertex_const_circulator CGAL::Polyhedron_3< Traits >::Vertex::vertex_begin | ( | ) | const |
circulator of halfedges around the vertex (clockwise).
| std::size_t CGAL::Polyhedron_3< Traits >::Vertex::vertex_degree | ( | ) | const |
the degree of the vertex, i.e., number of edges emanating from this vertex.
1.8.17