CGAL 6.0  2D Arrangements

#include <CGAL/Arrangement_on_surface_2.h>
typename Dcel::Vertex.
An object \( v\) of the class Vertex
represents an arrangement vertex, that is a \( 0\)dimensional cell, associated with a point on the ambient surface.
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 
obtains the number of edges incident to v .  
Halfedge_around_vertex_circulator  incident_halfedges () 
obtains a circulator circulator that allows going over the halfedges incident to v (that have v as their target).  
Face_handle  face () 
obtains a handle to the face that contains v in its interior.  
const Traits::Point_2 &  point () const 
obtains the point associated with the vertex.  
Arr_parameter_space  parameter_space_in_x () const 
obtains 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 
obtains 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_on_surface_2< GeometryTraits, TopologyTraits >::Vertex::face  (  ) 
obtains a handle to the face that contains v
in its interior.
v
is an isolated vertex. Halfedge_around_vertex_circulator CGAL::Arrangement_on_surface_2< GeometryTraits, TopologyTraits >::Vertex::incident_halfedges  (  ) 
obtains 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. Arr_parameter_space CGAL::Arrangement_on_surface_2< GeometryTraits, TopologyTraits >::Vertex::parameter_space_in_x  (  )  const 
obtains the placement of the \( x\)coordinate in the parameter space, that is, either the left boundaryside, the interior, or the right boundaryside.
If the vertex lies on an identified vertical side, the return value is nondeterministic.
Arr_parameter_space CGAL::Arrangement_on_surface_2< GeometryTraits, TopologyTraits >::Vertex::parameter_space_in_y  (  )  const 
obtains the placement of the \( y\)coordinate in the parameter space, that is, either the bottom boundaryside, the interior, or the top boundaryside.
If the vertex lies on an identified horizontal side, the return value is nondeterministic.
const Traits::Point_2 & CGAL::Arrangement_on_surface_2< GeometryTraits, TopologyTraits >::Vertex::point  (  )  const 
obtains the point associated with the vertex.
v
is not a vertex at infinity.