CGAL::Polyhedron_3<Traits>::Facet

Definition

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  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 prev(), otherwise it is of the forward category.

#include <CGAL/Polyhedron_3.h>

Types

Polyhedron_3<Traits>::Facet::Vertex
	type of incident vertices.
Polyhedron_3<Traits>::Facet::Halfedge
	type of incident halfedges.
Polyhedron_3<Traits>::Facet::Plane_3
	plane equation type stored in facets.
Polyhedron_3<Traits>::Facet::Vertex_handle
	handle to vertex.
Polyhedron_3<Traits>::Facet::Halfedge_handle
	handle to halfedge.
Polyhedron_3<Traits>::Facet::Facet_handle
	handle to facet.
Polyhedron_3<Traits>::Facet::Halfedge_around_facet_circulator
	circulator of halfedges around a facet.
Polyhedron_3<Traits>::Facet::Vertex_const_handle
Polyhedron_3<Traits>::Facet::Halfedge_const_handle
Polyhedron_3<Traits>::Facet::Facet_const_handle
Polyhedron_3<Traits>::Facet::Halfedge_around_facet_const_circulator
Polyhedron_3<Traits>::Facet::Supports_facet_halfedge
	$$ CGAL::Tag_true or CGAL::Tag_false.
Polyhedron_3<Traits>::Facet::Supports_facet_plane
	$$ CGAL::Tag_true or CGAL::Tag_false.

Creation

Polyhedron_3<Traits>::Facet f;
	default constructor.

Operations available if Supports_facet_plane $$ CGAL::Tag_true

Plane_3&	f.plane ()
const Plane_3&	f.plane () const	plane equation.

Operations available if Supports_facet_halfedge $$ CGAL::Tag_true

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

See Also

CGAL::Polyhedron_3<Traits>::Vertex
CGAL::Polyhedron_3<Traits>::Halfedge
CGAL::Polyhedron_3<Traits>