11 search results - page 1 / 3 » A Theoretical Study of Parallel Voronoi Diagram |
FCS
2006
13 years 6 months ago
2006
In this paper, we concentrate on the problem of computing a Voronoi diagram using Hypercube model of computation. The main contribution of this work is the O(log3 n) parallel algor...
CAD
2005
Springer
13 years 4 months ago
2005
Springer
Despite its important applications in various disciplines in science and engineering, the Euclidean Voronoi diagram for spheres, also known as an additively weighted Voronoi diagr...
ISVD
2007
IEEE
13 years 11 months ago
2007
IEEE
Given a set of points called sites, the Voronoi diagram is a partition of the plane into sets of points having the same closest site. Several generalizations of the Voronoi diagra...
ISVD
2007
IEEE
13 years 11 months ago
2007
IEEE
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 ...
ISVD
2007
IEEE
13 years 11 months ago
2007
IEEE
A very fundamental geometric problem on finite systems of spheres was independently phrased by Kneser (1955) and Poulsen (1954). According to their well-known conjecture if a fi...