CGAL::Nef_polyhedron_3<Traits>::SHalfloop

Definition

A shalfloop is a great circle on a sphere map. Figure  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.

Figure:

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.

#include <CGAL/Nef_polyhedron_3.h>

Types

The following types are the same as in Nef_polyhedron_3<Traits>.

Nef_polyhedron_3<Traits>::SHalfloop::Mark
	type of mark.
Nef_polyhedron_3<Traits>::SHalfloop::Sphere_circle
	sphere circle type stored in SHalfloop.
Nef_polyhedron_3<Traits>::SHalfloop::Halffacet_const_handle
	const handle to Halffacet.
Nef_polyhedron_3<Traits>::SHalfloop::SHalfloop_const_handle
	const handle to SHalfloop.
Nef_polyhedron_3<Traits>::SHalfloop::SFace_const_handle
	const handle to SFace.

Creation

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

Operations

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

See Also

CGAL::Nef_polyhedron_3<Traits>::Halffacet
CGAL::Nef_polyhedron_3<Traits>::SFace
CGAL::Nef_polyhedron_S2<Traits>::Sphere_point