CGAL 4.12.1  2D Arrangements

#include <CGAL/Arrangement_2.h>
Vertex.
An object \( v\) of the class Vertex
represents an arrangement vertex, that is  a \( 0\)dimensional cell, associated with a point on the plane.
Creation  
Vertex ()  
default constructor.  
Access Functions  
All nonconst methods listed below also have  
bool  is_at_open_boundary () const 
checks whether the vertex lies at infinity and not associated with a point with bounded coordinates.  
bool  is_isolated () const 
checks whether the vertex is isolated (i.e., has no incident edges).  
Size  degree () const 
returns the number of edges incident to v .  
Halfedge_around_vertex_circulator  incident_halfedges () 
returns a circulator circulator that allows going over the halfedges incident to v (that have v as their target). More...  
Face_handle  face () 
returns a handle to the face that contains v in its interior. More...  
const Traits::Point_2 &  point () const 
returns the point associated with the vertex. More...  
Arr_parameter_space  parameter_space_in_x () const 
returns the placement of the \( x\)coordinate in the parameter space, that is, either the left boundaryside, the interior, or the right boundaryside.  
Arr_parameter_space  parameter_space_in_y () const 
returns the placement of the \( y\)coordinate in the parameter space, that is, either the bottom boundaryside, the interior, or the top boundaryside.  
Face_handle CGAL::Arrangement_2< Traits, Dcel >::Vertex::face  (  ) 
returns a handle to the face that contains v
in its interior.
v
is an isolated vertex. Halfedge_around_vertex_circulator CGAL::Arrangement_2< Traits, Dcel >::Vertex::incident_halfedges  (  ) 
returns a circulator circulator that allows going over the halfedges incident to v
(that have v
as their target).
The edges are traversed in a clockwise direction around v
.
v
is not an isolated vertex. const Traits::Point_2& CGAL::Arrangement_2< Traits, Dcel >::Vertex::point  (  )  const 
returns the point associated with the vertex.
v
is not a vertex at infinity.