\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12 - 2D Boolean Operations on Nef Polygons Embedded on the Sphere
CGAL::Nef_polyhedron_S2< Traits >::SVertex Class Reference

#include <CGAL/Nef_polyhedron_S2.h>


Figure figureNefS2SVertexIncidences illustrates the incidence of a svertex on a sphere map.

The member function out_sedge() returns the first outgoing shalfedge, and incident_sface() returns the incident sface.


There is no need for a user to create a SVertex explicitly. The class Nef_polyhedron_S2<Traits> manages the needed svertices internally.

See also


The following types are the same as in Nef_polyhedron_S2<Traits>.

typedef unspecified_type Mark
 type of mark.
typedef unspecified_type Sphere_point
 sphere point type stored in SVertex.
typedef unspecified_type SVertex_const_handle
 const handle to SVertex.
typedef unspecified_type SHalfedge_const_handle
 const handle to SHalfedge.
typedef unspecified_type SFace_const_handle
 const handle to SFace.


const Markmark () const
 the mark of the svertex.
const Sphere_pointpoint () const
 the sphere point of the svertex.
bool is_isolated () const
 returns |true| if the svertex has no adjacent sedges.
SVertex_const_handle twin () const
 the twin of the svertex.
SHalfedge_const_handle out_sedge () const
 the first out sedge of the svertex.
SFace_const_handle incident_sface () const
 the incident sface of the svertex.