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» Aspect-ratio Voronoi diagram and its complexity bounds
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P2P
2010
IEEE
144views Communications» more  P2P 2010»
14 years 8 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...
ESA
2007
Springer
81views Algorithms» more  ESA 2007»
15 years 3 months ago
Farthest-Polygon Voronoi Diagrams
Given a family of k disjoint connected polygonal sites of total complexity n, we consider the farthest-site Voronoi diagram of these sites, where the distance to a site is the dis...
Otfried Cheong, Hazel Everett, Marc Glisse, Joachi...
ISVD
2007
IEEE
15 years 4 months ago
Voronoi Diagrams for Oriented Spheres
We consider finite sets of oriented spheres in Rk−1 and, by interpreting such spheres as points in Rk , study the Voronoi diagrams they induce for several variants of distance ...
Franz Aurenhammer, Johannes Wallner, Martin Petern...
ESA
2003
Springer
118views Algorithms» more  ESA 2003»
15 years 2 months ago
The Voronoi Diagram of Planar Convex Objects
This paper presents a dynamic algorithm for the construction of the Euclidean Voronoi diagram of a set of convex objects in the plane. We consider first the Voronoi diagram of smo...
Menelaos I. Karavelas, Mariette Yvinec
COMPGEOM
2006
ACM
15 years 3 months ago
The predicates for the Voronoi diagram of ellipses
This paper examines the computation of the Voronoi diagram of a set of ellipses in the Euclidean plane. We propose the first complete algorithms, under the exact computation para...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...