Hyperbolic Delaunay complexes and Voronoi diagrams made practical

We study Delaunay complexes and Voronoi diagrams in the Poincaré ball, a conformal model of the hyperbolic space, in any dimension. We elaborate on our earlier work on the space of spheres [CCCG'92], giving a detailed description of algorithms. We also study algebraic and arithmetic issues, obs...

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Bibliographic Details
Main Authors: Mikhail Bogdanov, Olivier Devillers, Monique Teillaud
Format: Article
Language:English
Published: Carleton University 2014-03-01
Series:Journal of Computational Geometry
Online Access:http://jocg.org/index.php/jocg/article/view/141