CGAL 4.7 - L Infinity Segment Delaunay Graphs: Class and Concept List

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CGAL 4.7 - L Infinity Segment Delaunay Graphs

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Class and Concept List
Here is the list of all concepts and classes of this package. Classes are inside the namespace CGAL. Concepts are in the global namespace.
[detail level 12]

CGAL |
Segment_Delaunay_graph_Linf_2 | The class `Segment_Delaunay_graph_Linf_2` represents the segment Delaunay graph under the \( L_{\infty} \) metric (which is the dual graph of the 2D segment Voronoi diagram under the \( L_{\infty} \) metric)
Segment_Delaunay_graph_Linf_filtered_traits_2 | The class `Segment_Delaunay_graph_Linf_filtered_traits_2` provides a model for the `SegmentDelaunayGraphLinfTraits_2` concept
Segment_Delaunay_graph_Linf_filtered_traits_without_intersections_2 | The class `Segment_Delaunay_graph_Linf_filtered_traits_without_intersections_2` provides a model for the `SegmentDelaunayGraphLinfTraits_2` concept
Segment_Delaunay_graph_Linf_hierarchy_2 | This class is equivalent to the `Segment_Delaunay_graph_hierarchy_2` class, but it uses `Segment_Delaunay_graph_Linf_2<Gt,DS>` at every level of the hierarchy (instead of `Segment_Delaunay_graph_2<Gt,DS>` at each level of `Segment_Delaunay_graph_hierarchy_2`)
Segment_Delaunay_graph_Linf_traits_2 | The class `Segment_Delaunay_graph_Linf_traits_2` provides a model for the `SegmentDelaunayGraphLinfTraits_2` concept
Segment_Delaunay_graph_Linf_traits_without_intersections_2 | The class `Segment_Delaunay_graph_Linf_traits_without_intersections_2` provides a model for the `SegmentDelaunayGraphLinfTraits_2` concept
SegmentDelaunayGraphLinfTraits_2 | The concept `SegmentDelaunayGraphLinfTraits_2` provides traits for constructing the segment Delaunay graph under the \( L_{\infty} \) distance. The segment Delaunay graph is the dual of the segment Voronoi diagram. We stress that we consider the 1-dimensionalization of \( L_{\infty} \) bisectors between two sites which is explained in Section Bisectors and 1-Dimensionalization of the User Manual, and this reflects on the constructed graph (and its dual diagram). These traits should be used in the Gt template parameter of the `CGAL::Segment_Delaunay_graph_Linf_2<Gt,DS>` and `CGAL::Segment_Delaunay_graph_Linf_hierarchy_2<Gt,STag,DS>` class templates. The concept is a refinement of `SegmentDelaunayGraphTraits_2`. 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
Construct_sdg_bisector_2 | The class template drawing the \(L_{\infty}\) bisector between two sites
Construct_sdg_bisector_ray_2 | The class template drawing the \(L_{\infty}\) edge between two sites, that is bounded by another site and the dummy site \(s_{\infty}\) (at infinity)
Construct_sdg_bisector_segment_2 | The class template drawing the \(L_{\infty}\) edge between two sites, that is bounded by two other sites