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CGAL 6.0 - 2D Arrangements
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#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 non-const 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 boundary-side, the interior, or the right boundary-side. | |
| Arr_parameter_space | parameter_space_in_y () const |
| obtains the placement of the \( y\)-coordinate in the parameter space, that is, either the bottom boundary-side, the interior, or the top boundary-side. | |
| 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 boundary-side, the interior, or the right boundary-side.
If the vertex lies on an identified vertical side, the return value is non-deterministic.
| 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 boundary-side, the interior, or the top boundary-side.
If the vertex lies on an identified horizontal side, the return value is non-deterministic.
| 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.