CGAL 4.7 - 3D Envelopes: CGAL::Envelope_diagram_2< EnvTraits >::Vertex Class Reference

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

CGAL 4.7 - 3D Envelopes

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CGAL::Envelope_diagram_2< EnvTraits >::Vertex Class Reference

`#include <CGAL/envelope_3.h>`

## Inherits from

CGAL::Arrangement_2< class, class >::Vertex.

## Access Functions

size_t | number_of_surfaces () const
| returns the number of \( xy\)-monotone surfaces that induce `v`.
Surface_const_iterator | surfaces_begin () const
| returns an iterator for the first \( xy\)-monotone surface that induces `v`.
Surface_const_iterator | surfaces_end () const
| returns a past-the-end iterator for the \( xy\)-monotone surfaces that induce `v`.
Xy_monotone_surface_3 | surface () const
| returns the first \( xy\)-monotone surface that induce `v`. More...

## Additional Inherited Members

Public Member Functions inherited from CGAL::Arrangement_2< class, class >::Vertex
| Vertex ()
bool | is_at_open_boundary () const
bool | is_isolated () const
Size | degree () const
Halfedge_around_vertex_circulator | incident_halfedges ()
Face_handle | face ()
const Traits::Point_2 & | point () const
Arr_parameter_space | parameter_space_in_x () const
Arr_parameter_space | parameter_space_in_y () const

## Member Function Documentation

template<typename EnvTraits >

Xy_monotone_surface_3 CGAL::Envelope_diagram_2< EnvTraits >::Vertex::surface | ( | ) |  | const

returns the first \( xy\)-monotone surface that induce `v`.

Precondition
  The number of surfaces is not 0.