Further Results on Arithmetic Filters for Geometric Predicates - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Computational Geometry Year : 1999

Further Results on Arithmetic Filters for Geometric Predicates

Abstract

An efficient technique to solve precision problems consists in using exact computations. For geometric predicates, using systematically expensive exact computations can be avoided by the use of filters. The predicate is first evaluated using rounding computations, and an error estimation gives a certificate of the validity of the result. In this note, we studies the statistical efficiency of filters for cosphericity predicate with an assumption of regular distribution of the points. We prove that the expected value of the polynomial corresponding to the in sphere test is greater than epsilon with probability O(epsilon log 1/epsilon) improving the results of a previous paper.
Fichier principal
Vignette du fichier
comgeo350.pdf (118.77 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00168163 , version 1 (24-08-2007)

Identifiers

Cite

Olivier Devillers, Franco P. Preparata. Further Results on Arithmetic Filters for Geometric Predicates. Computational Geometry, 1999, 13, pp.141-148. ⟨10.1016/S0925-7721(99)00011-5⟩. ⟨inria-00168163⟩
108 View
135 Download

Altmetric

Share

Gmail Facebook X LinkedIn More