The Delaunay Hierarchy - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles International Journal of Foundations of Computer Science Year : 2002

The Delaunay Hierarchy

Olivier Devillers

Abstract

We propose a new data structure to compute the Delaunay triangulation of a set of points in the plane. It combines good worst case complexity, fast behavior on real data, small memory occupation and the possibility of fully dynamic insertions and deletions. The location structure is organized into several levels. The lowest level just consists of the triangulation, then each level contains the triangulation of a small sample of the level below. Point location is done by walking in a triangulation to determine the nearest neighbor of the query at that level, then the walk restarts from that neighbor at the level below. Using a small subset (3%) to sample a level allows a small memory occupation; the walk and the use of the nearest neighbor to change levels quickly locate the query.
Fichier principal
Vignette du fichier
hal.pdf (206.4 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00166711 , version 1 (08-08-2007)

Identifiers

Cite

Olivier Devillers. The Delaunay Hierarchy. International Journal of Foundations of Computer Science, 2002, 13, pp.163-180. ⟨10.1142/S0129054102001035⟩. ⟨inria-00166711⟩
490 View
1090 Download

Altmetric

Share

Gmail Facebook X LinkedIn More