Polyhedron_3<Traits>::Facet

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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 23.1 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.