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» Computability of Partial Delaunay Triangulation and Voronoi ...
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COMGEO
2004
ACM
13 years 8 months ago
Expected time analysis for Delaunay point location
We consider point location in Delaunay triangulations with the aid of simple data structures. In particular, we analyze methods in which a simple data structure is used to first lo...
Luc Devroye, Christophe Lemaire, Jean-Michel Morea...
ISVD
2007
IEEE
14 years 2 months ago
Computing the 3D Voronoi Diagram Robustly: An Easy Explanation
Many algorithms exist for computing the 3D Voronoi diagram, but in most cases they assume that the input is in general position. Because of the many degeneracies that arise in 3D ...
Hugo Ledoux
CIE
2005
Springer
14 years 2 months ago
Computability in Computational Geometry
We promote the concept of object directed computability in computational geometry in order to faithfully generalise the wellestablished theory of computability for real numbers and...
Abbas Edalat, Ali Asghar Khanban, André Lie...
P2P
2010
IEEE
144views Communications» more  P2P 2010»
13 years 7 months ago
Hivory: Range Queries on Hierarchical Voronoi Overlays
Abstract—The problem of defining a support for multidimensional range queries on P2P overlays is currently an active field of research. Several approaches based on the extensio...
Matteo Mordacchini, Laura Ricci, Luca Ferrucci, Mi...
TCS
2008
13 years 8 months ago
Anisotropic diagrams: Labelle Shewchuk approach revisited
F. Labelle and J. Shewchuk [3] have proposed a discrete definition of anisotropic Voronoi diagrams. These diagrams are parametrized by a metric field. Under mild hypotheses on the...
Jean-Daniel Boissonnat, Camille Wormser, Mariette ...