\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.8.1 - 2D Segment Delaunay Graphs
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2D Segment Delaunay Graphs Reference

Concepts

conceptSegmentDelaunayGraphDataStructure_2
 The concept SegmentDelaunayGraphDataStructure_2 refines the concept ApolloniusGraphDataStructure_2. In addition it provides two methods for the merging of two vertices joined by an edge of the data structure, and the splitting of a vertex into two. The method that merges two vertices, called join_vertices() identifies the two vertices and deletes their common two faces. The method that splits a vertex, called split_vertex() introduces a new vertex that shares an edge and two faces with the old vertex (see figure below). Notice that the join_vertices() and split_vertex() operations are complementary, in the sense that one reverses the action of the other. More...
 
conceptSegmentDelaunayGraphHierarchyVertexBase_2
 The vertex of a segment Delaunay graph included in a segment Delaunay graph hierarchy has to provide some pointers to the corresponding vertices in the graphs of the next and preceeding levels. Therefore, the concept SegmentDelaunayGraphHierarchyVertexBase_2 refines the concept SegmentDelaunayGraphVertexBase_2, by adding two vertex handles to the correponding vertices for the next and previous level graphs. More...
 
conceptSegmentDelaunayGraphSite_2
 The concept SegmentDelaunayGraphSite_2 provides the requirements for the sites of a segment Delaunay graph. More...
 
conceptSegmentDelaunayGraphStorageSite_2
 The concept SegmentDelaunayGraphStorageSite_2 provides the requirements for the storage sites of a segment Delaunay graph. The storage sites are sites that are used to store the information of a site in a more compact form (that uses less storage). This is achieved by storing handles to points instead of points. More...
 
conceptSegmentDelaunayGraphTraits_2
 The concept SegmentDelaunayGraphTraits_2 provides the traits requirements for the CGAL::Segment_Delaunay_graph_2<Gt,DS> and CGAL::Segment_Delaunay_graph_hierarchy_2<Gt,STag,DS> classes. In particular, it provides a type Site_2, which must be a model of the concept SegmentDelaunayGraphSite_2. It also provides constructions for sites and several function object types for the predicates. More...
 
conceptSegmentDelaunayGraphVertexBase_2
 The concept SegmentDelaunayGraphVertexBase_2 describes the requirements for the vertex base class of the SegmentDelaunayGraphDataStructure_2 concept. A vertex stores a site of the segment Delaunay graph and provides access to one of its incident faces through a Face_handle. More...