\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.8 - Kinetic Data Structures
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CGAL::Kinetic::Delaunay_triangulation_2< Traits, Visitor, Triangulation > Class Template Reference
Delaunay Triangulation in 2D

#include <CGAL/Kinetic/Delaunay_triangulation_2.h>

Definition

The class Kinetic::Delaunay_triangulation_2 maintains a Delaunay triangulation on top of the points contained in a Kinetic::ActiveObjectsTable.

It has one main method of interest, triangulation(), which returns the triangulation it is maintaining.

Note that the Delaunay triangulation is fully dynamic as it tracks points added to and removed from the Kinetic::ActiveObjectsTable.

The class Kinetic::Qt_triangulation_2<KineticTriangulation_2, QtWidget_2, QtMovingPoints_2> displays a kinetic Delaunay triangulation using the Qt widget.

This class is a good example of a simple, but non-trivial, kinetic data structure.

The Triangulation template parameter must be a model of CGAL::Delaunay_triangulation_2<Traits, Tds> which uses Traits::Default_instantaneous_kernel as its geometric traits and a Tds whose face inherits from Kinetic::Delaunay_triangulation_face_base_2<Traits, Base>.

The optional Visitor parameter takes a model of Kinetic::DelaunayTriangulationVisitor_2. Methods on this object will be called whenever the triangulation changes.

Is Model Of:
Ref_counted<T>
See Also
Kinetic::DelaunayTriangulationVisitor_2
Kinetic::Delaunay_triangulation_default_visitor_2
Kinetic::Delaunay_triangulation_recent_edges_visitor_2<Triangulation>
Kinetic::Delaunay_triangulation_event_log_visitor_2
Kinetic::Qt_triangulation_2
Examples:
Kinetic_data_structures/defining_a_simulation_traits.cpp.

Types

typedef unspecified_type Triangulation
 The template argument triangulation.
 
typedef unspecified_type Visitor
 The template argument for the visitor.
 

Creation

 Delaunay_triangulation_2 (Traits tr)
 Maintain the Delaunay triangulation of the points in tr.active_points_2_handle().
 

Operations

const Triangulation & triangulation () const
 Access the triangulation that is maintained.
 
Visitor & visitor ()
 Access the visitor.
 
Vertex_handle insert (Point_key k)
 Insert the point.
 
void erase (Vertex_handle h)
 Erase the vertex.