CGAL 6.1.1 - dD Range and Segment Trees

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Reference Manual

##

Gabriele Neyer
Range and segment trees allow to perform window queries on point sets, and to enumerate all ranges enclosing a query point. The provided data structures are static and they are optimized for fast queries.
Introduced in: CGAL 0.9
BibTeX: cgal:n-rstd-26a
License: GPL

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.

## Classified Reference Pages

## Concepts

- `RangeSegmentTreeTraits_k`
- `Sublayer`

## Traits Classes

- `CGAL::Range_segment_tree_set_traits_2<R>`
- `CGAL::Range_segment_tree_set_traits_3<R>`
- `CGAL::Range_tree_map_traits_2<R,T>`
- `CGAL::Range_tree_map_traits_3<R,T>`
- `CGAL::Segment_tree_map_traits_2<R,T>`
- `CGAL::Segment_tree_map_traits_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>`

## Modules
| Concepts
| Traits Classes
| Search Structures

## Classes
class | CGAL::Tree_anchor< Data, Window >
| `Tree_anchor` is also derived from `Tree_base`. More...