RegularTriangulationVertexBase_2 Concept Reference Definition The regular triangulation of a set of weighted points does not necessarily have one vertex for each of the input points. Some of the input weighted points have no cell in the dual power diagrams and therefore do not correspond to a vertex of the regular triangulation. Those weighted point are said to be hidden points. A point which is hidden at a given time may appear later as a vertex of the regular triangulation upon removal on some other weighted point. Therefore, hidden points have to be stored somewhere. The regular triangulation store those hidden points in special vertices called hidden vertices. A hidden point can appear as vertex of the triangulation only when the two dimensional face where its point component is located (the face which hides it) is removed. Therefore we decided to store in each face of a regular triangulation the list of hidden vertices whose points are located in the face. Thus points hidden by a face are easily reinserted in the triangulation when the face is removed. The base vertex of a regular triangulation has to be a model of the concept RegularTriangulationVertexBase_2 . The concept RegularTriangulationVertexBase_2 refines the concept TriangulationVertexBase_2, just adding a Boolean to mark if the vertex is a vertex of the triangulation or a hidden vertex. Refines:TriangulationVertexBase_2 Has Models:CGAL::Regular_triangulation_vertex_base_2 See alsoTriangulationVertexBase_2 CGAL::Regular_triangulation_vertex_base_2 Public Types typedef unspecified_type Point Must be the same as the point type RegularTriangulationTraits_2::Weighted_point_2 defined by the geometric traits class of the triangulation. Access Functions bool is_hidden () returns true, iff the vertex is hidden. void set_hidden (bool b) Mark the vertex as hidden or as not hidden. RegularTriangulationVertexBase_2 Generated on Thu May 19 2022 21:04:32 for CGAL 5.5 - 2D Triangulations by 1.8.13

Definition

The regular triangulation of a set of weighted points does not necessarily have one vertex for each of the input points. Some of the input weighted points have no cell in the dual power diagrams and therefore do not correspond to a vertex of the regular triangulation. Those weighted point are said to be hidden points. A point which is hidden at a given time may appear later as a vertex of the regular triangulation upon removal on some other weighted point. Therefore, hidden points have to be stored somewhere. The regular triangulation store those hidden points in special vertices called hidden vertices.

A hidden point can appear as vertex of the triangulation only when the two dimensional face where its point component is located (the face which hides it) is removed. Therefore we decided to store in each face of a regular triangulation the list of hidden vertices whose points are located in the face. Thus points hidden by a face are easily reinserted in the triangulation when the face is removed.

The base vertex of a regular triangulation has to be a model of the concept RegularTriangulationVertexBase_2 . The concept RegularTriangulationVertexBase_2 refines the concept TriangulationVertexBase_2, just adding a Boolean to mark if the vertex is a vertex of the triangulation or a hidden vertex.

Refines:

TriangulationVertexBase_2

Has Models:

CGAL::Regular_triangulation_vertex_base_2

See also

TriangulationVertexBase_2

CGAL::Regular_triangulation_vertex_base_2

Public Types
typedef unspecified_type	Point
	Must be the same as the point type RegularTriangulationTraits_2::Weighted_point_2 defined by the geometric traits class of the triangulation.

Access Functions
bool	is_hidden ()
	returns true, iff the vertex is hidden.
void	set_hidden (bool b)
	Mark the vertex as hidden or as not hidden.