Chapter 60
dD Range and Segment Tree

This chapter presents the CGAL range tree and segment tree data structures.

The range tree is theoretically superior to the $$Kd-tree, but the latter often seems to perform better. However, the range tree as implemented in CGAL is more flexible than the $$Kd-tree implementation, in that it enables to layer together range trees and segment trees in the same data structure.

Concepts

RangeSegmentTreeTraits_k
Sublayer

Traits Classes

CGAL::Range_segment_tree_traits_set_2<R>
CGAL::Range_segment_tree_traits_set_3<R>
CGAL::Range_tree_traits_map_2<R,T>
CGAL::Range_tree_traits_map_3<R,T>
CGAL::Segment_tree_traits_map_2<R,T>
CGAL::Segment_tree_traits_map_3<R,T>
CGAL::tree_interval_traits
CGAL::tree_point_traits

Search Structure Classes

CGAL::Range_tree_d<Data, Window, Traits>
CGAL::Range_tree_k<Traits>
CGAL::Segment_tree_d<Data, Window, Traits>
CGAL::Segment_tree_k<Traits>
CGAL::Tree_anchor<Data, Window>

Alphabetical Listing of Reference Pages

• RangeSegmentTreeTraits_k

• Range_segment_tree_traits_set_2<R>

• Range_segment_tree_traits_set_3<R>

• Range_tree_d<Data, Window, Traits>

• Range_tree_k<Traits>

• Range_tree_traits_map_2<R,T>

• Range_tree_traits_map_3<R,T>

• Segment_tree_d<Data, Window, Traits>

• Segment_tree_k<Traits>

• Segment_tree_traits_map_2<R,T>

• Segment_tree_traits_map_3<R,T>

• Sublayer

• tree_interval_traits

• tree_point_traits

• Tree_anchor<Data, Window>