\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D Boolean Operations on Nef Polygons Embedded on the Sphere

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CGAL::Nef_polyhedron_S2< Traits >::SVertex Class Reference
2D Boolean Operations on Nef Polygons Embedded on the Sphere Reference

`#include <CGAL/Nef_polyhedron_S2.h>`

## Definition

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.

Creation

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
  `CGAL::Nef_polyhedron_S2::SHalfedge`
  `CGAL::Nef_polyhedron_S2::SFace`
  `CGAL::Nef_polyhedron_S2::Sphere_point`

## Types
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.

## Operations
const Mark & | mark () const
| the mark of the `svertex`.
const Sphere_point & | point () 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`.