CGAL::Polyhedron_3< Traits >::Facet Class Reference

#include <CGAL/Polyhedron_3.h>

Definition

template<typename Traits>
class CGAL::Polyhedron_3< Traits >::Facet

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. Note that the plane equation is not automatically computed nor maintained and should handled by the user (see Polyhedron/polyhedron_prog_planes.cpp for an example). 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.

See also

CGAL::Polyhedron_3::Vertex

CGAL::Polyhedron_3::Halfedge

CGAL::Polyhedron_3<Traits>

Types
typedef unspecified_type	Vertex
	type of incident vertices.
typedef unspecified_type	Halfedge
	type of incident halfedges.
typedef unspecified_type	Plane_3
	plane equation type stored in facets.
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_facet_circulator
	circulator of halfedges around a facet.
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.
typedef unspecified_type	Supports_facet_plane
	\( \equiv\) CGAL::Tag_true or CGAL::Tag_false.

Creation
	Facet ()
	default constructor.

Operations available if Supports_facet_plane is CGAL::Tag_true
Plane_3 &	plane ()
const Plane_3 &	plane () const
	plane equation.

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.
Halfedge_around_facet_circulator	facet_begin ()
Halfedge_around_facet_const_circulator	facet_begin () const
	circulator of halfedges around the facet (counterclockwise).
void	set_halfedge (Halfedge_handle h)
	sets incident halfedge to h.
std::size_t	facet_degree () const
	the degree of the facet, i.e., number of edges on the boundary of this facet.
bool	is_triangle () const
	returns true if the facet is a triangle.
bool	is_quad () const
	returns true if the facet is a quadrilateral.

Member Function Documentation

set_halfedge()

template<typename Traits >

void CGAL::Polyhedron_3< Traits >::Facet::set_halfedge

(

Halfedge_handle

h

)

sets incident halfedge to h.

Precondition

h is incident, i.e., h->facet() == *this.