CGAL 5.1.3  2D Voronoi Diagram Adaptor

CGAL provides the class CGAL::Voronoi_diagram_2<DG,AT,AP>
for adapting the various (triangulated) Delaunay graphs to Voronoi diagrams according to some adaptation policy. In particular, the class CGAL::Voronoi_diagram_2<DG,AT,AP>
provides an API for the duals of (triangulated) Delaunay graphs, that makes them look like planar subdivisions. The adaptation policy is responsible for deciding which edges and faces of these duals should be eliminated. This is especially important when, for instance, we want to eliminate degenerate features in the Voronoi diagram that are the result of the fact that Delaunay graphs are always triangulated and are due to degenerate configurations in the generating data.
The three template parameters must be models of the DelaunayGraph_2
, AdaptationTraits_2
and AdaptationPolicy_2
concepts, respectively. The first concept is related to the Delaunay graphs that are to be adapted, whereas the second one is responsible for manipulating/accessing in a unified way the geometry of a specific Voronoi diagram as well as for performing nearest site queries. The third template parameter corresponds to the chosen adaptation policy and provides the necessary types and functors needed for performing this adaptation.
CGAL::Voronoi_diagram_2<DG,AT,AP>
CGAL::Voronoi_diagram_2<DG,AT,AP>::Halfedge
CGAL::Voronoi_diagram_2<DG,AT,AP>::Vertex
CGAL::Voronoi_diagram_2<DG,AT,AP>::Face
CGAL::Apollonius_graph_adaptation_traits_2<AG2>
CGAL::Delaunay_triangulation_adaptation_traits_2<DT2>
CGAL::Regular_triangulation_adaptation_traits_2<RT2>
CGAL::Segment_Delaunay_graph_adaptation_traits_2<SDG2>
CGAL::Identity_policy_2<DG,AT>
CGAL::Apollonius_graph_degeneracy_removal_policy_2<AG2>
CGAL::Apollonius_graph_caching_degeneracy_removal_policy_2<AG2>
CGAL::Delaunay_triangulation_degeneracy_removal_policy_2<DT2>
CGAL::Delaunay_triangulation_caching_degeneracy_removal_policy_2<DT2>
CGAL::Regular_triangulation_degeneracy_removal_policy_2<RT2>
CGAL::Regular_triangulation_caching_degeneracy_removal_policy_2<RT2>
CGAL::Segment_Delaunay_graph_degeneracy_removal_policy_2<SDG2>
CGAL::Segment_Delaunay_graph_caching_degeneracy_removal_policy_2<SDG2>
Modules  
Concepts  
Voronoi Diagram of Points  
Voronoi Diagram of Segments  
Voronoi Diagram of Disks  
Draw a 2D Voronoi Diagram  
Classes  
struct  CGAL::Identity_policy_2< DG, AT > 
The class Identity_policy_2 provides a model for the AdaptationPolicy_2 concept. More...  
class  CGAL::Voronoi_diagram_2< DG, AT, AP >::Face 
The class Face is the class provided by the Voronoi_diagram_2<DG,AT,AP> class for Voronoi faces. More...  
class  CGAL::Voronoi_diagram_2< DG, AT, AP >::Halfedge 
The class Halfedge is the class provided by the Voronoi_diagram_2<DG,AT,AP> class for Voronoi halfedges. More...  
class  CGAL::Voronoi_diagram_2< DG, AT, AP >::Vertex 
The class Vertex is the Voronoi vertex class provided by the class Voronoi_diagram_2<DG,AT,AP> class. More...  
class  CGAL::Voronoi_diagram_2< DG, AT, AP > 
The class Voronoi_diagram_2 provides an adaptor that enables us to view a triangulated Delaunay graph as their dual subdivision, the Voronoi diagram. More...  