Hyperbolic Delaunay triangulations and Voronoi diagrams made practical - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2011

Hyperbolic Delaunay triangulations and Voronoi diagrams made practical

Mikhail Bogdanov
  • Function : Author
  • PersonId : 933126
Olivier Devillers
Monique Teillaud

Abstract

We show how to compute Delaunay triangulations and Voronoi diagrams of a set of points in hyperbolic space in a very simple way. While the algorithm follows from [CCCG92], we elaborate on arithmetic issues, observing that only rational computations are needed. This allows an exact and efficient implementation.
Fichier principal
Vignette du fichier
hal.pdf (325.17 Ko) Télécharger le fichier
Vignette du fichier
thumbnail.jpg (35.13 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Format : Figure, Image
Loading...

Dates and versions

hal-00850586 , version 1 (07-08-2013)

Identifiers

  • HAL Id : hal-00850586 , version 1

Cite

Mikhail Bogdanov, Olivier Devillers, Monique Teillaud. Hyperbolic Delaunay triangulations and Voronoi diagrams made practical. XIV Spanish Meeting on Computational Geometry,, 2011, Alcala de Henares, Spain. ⟨hal-00850586⟩
179 View
447 Download

Share

Gmail Facebook X LinkedIn More