\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12 - 3D Envelopes
CGAL::Envelope_diagram_2< EnvTraits >::Face Class Reference

#include <CGAL/envelope_3.h>

Inherits from

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

Access Functions

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

Additional Inherited Members

- Public Member Functions inherited from CGAL::Arrangement_2< class, class >::Face
 Face ()
 
bool is_fictitious () const
 
bool is_unbounded () const
 
bool has_outer_ccb () const
 
Ccb_halfedge_circulator outer_ccb ()
 
Hole_iterator holes_begin ()
 
Hole_iterator holes_end ()
 
Isolated_vertex_iterator isolated_vertices_begin ()
 
Isolated_vertex_iterator isolated_vertices_end ()
 

Member Function Documentation

◆ surface()

template<typename EnvTraits >
Xy_monotone_surface_3 CGAL::Envelope_diagram_2< EnvTraits >::Face::surface ( ) const

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

Precondition
The number of surfaces is not 0.