CGAL 4.7 - 3D Polyhedral Surface
|
#include <CGAL/Polyhedron_3.h>
A facet optionally stores a plane equation, and a reference to an incident halfedge that points to the facet.
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::Vertex
CGAL::Polyhedron_3::Halfedge
CGAL::Polyhedron_3<Traits>
Types | |
typedef unspecified_type | Vertex |
type of incident vertices. More... | |
typedef unspecified_type | Halfedge |
type of incident halfedges. More... | |
typedef unspecified_type | Plane_3 |
plane equation type stored in facets. 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_facet_circulator |
circulator of halfedges around a facet. More... | |
typedef unspecified_type | Vertex_const_handle |
typedef unspecified_type | Halfedge_const_handle |
typedef unspecified_type | Facet_const_handle |
typedef unspecified_type | Halfedge_around_facet_const_circulator |
typedef unspecified_type | Supports_facet_halfedge |
\( \equiv\) CGAL::Tag_true or CGAL::Tag_false . More... | |
typedef unspecified_type | Supports_facet_plane |
\( \equiv\) CGAL::Tag_true or CGAL::Tag_false . More... | |
Creation | |
Facet () | |
default constructor. More... | |
Operations available if Supports_facet_plane is CGAL::Tag_true | |
Plane_3 & | plane () |
const Plane_3 & | plane () const |
plane equation. More... | |
Operations available if Supports_facet_halfedge is CGAL::Tag_true | |
Halfedge_handle | halfedge () |
Halfedge_const_handle | halfedge () const |
an incident halfedge that points to the facet. More... | |
Halfedge_around_facet_circulator | facet_begin () |
Halfedge_around_facet_const_circulator | facet_begin () const |
circulator of halfedges around the facet (counterclockwise). More... | |
void | set_halfedge (Halfedge_handle h) |
sets incident halfedge to h . More... | |
std::size_t | facet_degree () const |
the degree of the facet, i.e., number of edges on the boundary of this facet. More... | |
bool | is_triangle () const |
returns true if the facet is a triangle. More... | |
bool | is_quad () const |
returns true if the facet is a quadrilateral. More... | |
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Facet_const_handle |
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Facet_handle |
handle to facet.
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Halfedge |
type of incident halfedges.
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Halfedge_around_facet_circulator |
circulator of halfedges around a facet.
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Halfedge_around_facet_const_circulator |
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Halfedge_const_handle |
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Halfedge_handle |
handle to halfedge.
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Plane_3 |
plane equation type stored in facets.
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Supports_facet_halfedge |
\( \equiv\) CGAL::Tag_true
or CGAL::Tag_false
.
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Supports_facet_plane |
\( \equiv\) CGAL::Tag_true
or CGAL::Tag_false
.
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Vertex |
type of incident vertices.
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Vertex_const_handle |
typedef unspecified_type CGAL::Polyhedron_3< Traits >::Facet::Vertex_handle |
handle to vertex.
CGAL::Polyhedron_3< Traits >::Facet::Facet | ( | ) |
default constructor.
Halfedge_around_facet_circulator CGAL::Polyhedron_3< Traits >::Facet::facet_begin | ( | ) |
Halfedge_around_facet_const_circulator CGAL::Polyhedron_3< Traits >::Facet::facet_begin | ( | ) | const |
circulator of halfedges around the facet (counterclockwise).
std::size_t CGAL::Polyhedron_3< Traits >::Facet::facet_degree | ( | ) | const |
the degree of the facet, i.e., number of edges on the boundary of this facet.
Halfedge_handle CGAL::Polyhedron_3< Traits >::Facet::halfedge | ( | ) |
Halfedge_const_handle CGAL::Polyhedron_3< Traits >::Facet::halfedge | ( | ) | const |
an incident halfedge that points to the facet.
bool CGAL::Polyhedron_3< Traits >::Facet::is_quad | ( | ) | const |
returns true
if the facet is a quadrilateral.
bool CGAL::Polyhedron_3< Traits >::Facet::is_triangle | ( | ) | const |
returns true
if the facet is a triangle.
Plane_3& CGAL::Polyhedron_3< Traits >::Facet::plane | ( | ) |
const Plane_3& CGAL::Polyhedron_3< Traits >::Facet::plane | ( | ) | const |
plane equation.
void CGAL::Polyhedron_3< Traits >::Facet::set_halfedge | ( | Halfedge_handle | h | ) |
sets incident halfedge to h
.
h
is incident, i.e., h->facet() ==
*this
.