CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop Class Reference

#include <CGAL/Nef_polyhedron_3.h>

Definition

template<class Nef_polyhedronTraits_3, class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>
class CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop

A shalfloop is a great circle on a sphere map.

Figure figureNef3HalfloopIncidences depicts the relationship between a shalfloop and its incident shalfloops, and sfaces on a sphere map. A shalfloop is an oriented sloop. It is always paired with a shalfloop whose supporting Sphere_circle is pointing in the opposite direction. The twin() member function returns this shalfloop of opposite orientation.

A sphere map having a shalfloop models the neighborhood of a vertex which is isolated on a facet. That facet is returned by the member function facet.

Creation

There is no need for a user to create a SHalfloop explicitly. The class Nef_polyhedron_3<Traits> manages the needed shalfloops internally.

See Also

CGAL::Nef_polyhedron_3::Halffacet

CGAL::Nef_polyhedron_3::SFace

CGAL::Nef_polyhedron_S2::Sphere_point

Types
The following types are the same as in Nef_polyhedron_3<Traits>.
typedef unspecified_type	Mark
	type of mark.
typedef unspecified_type	Sphere_circle
	sphere circle type stored in SHalfloop.
typedef unspecified_type	Halffacet_const_handle
	const handle to Halffacet.
typedef unspecified_type	SHalfloop_const_handle
	const handle to SHalfloop.
typedef unspecified_type	SFace_const_handle
	const handle to SFace.

Operations
const Mark &	mark () const
	the mark of se .
const Sphere_circle &	circle () const
	the sphere circle of se .
SHalfloop_const_handle	twin () const
	the twin of se .
Halffacet_const_handle	facet () const
	the facet that corresponds to se in the 3D incidence structure.
SFace_const_handle	incident_sface () const
	the incident sface of se .