Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation

State of the Art: Updating Delaunay Triangulations for Moving Points

Olivier Devillers 1 Pedro Machado Manhães de Castro 1 
1 GEOMETRICA - Geometric computing
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : This paper considers the problem of updating efficiently a two-dimensional Delaunay triangulation when vertices are moving. We investigate the three current state-of-the-art approaches to solve this problem: --1-- the use of kinetic data structures, --2-- the possibility of moving points from their initial to final position by deletion and insertion and --3-- the use of "almost" Delaunay structure that postpone the necessary modifications. Finally, we conclude with a global overview of the above-mentioned approaches while focusing on future works.
Document type :
Complete list of metadata

Cited literature [30 references]  Display  Hide  Download
Contributor : Pedro Machado Manhaes De Castro Connect in order to contact the contributor
Submitted on : Tuesday, September 30, 2008 - 2:12:02 PM
Last modification on : Friday, February 4, 2022 - 3:24:15 AM
Long-term archiving on: : Monday, October 8, 2012 - 1:45:27 PM


Files produced by the author(s)


  • HAL Id : inria-00325816, version 1



Olivier Devillers, Pedro Machado Manhães de Castro. State of the Art: Updating Delaunay Triangulations for Moving Points. [Research Report] RR-6665, INRIA. 2008, pp.12. ⟨inria-00325816⟩



Record views


Files downloads