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BIRTHDAY
2003
Springer
14 years 24 days ago
Area and Perimeter Derivatives of a Union of Disks
Abstract. We give analytic inclusion-exclusion formulas for the area and perimeter derivatives of a union of finitely many disks in the plane. Keywords. Disks, Voronoi diagram, al...
Ho-Lun Cheng, Herbert Edelsbrunner
ESA
2007
Springer
81views Algorithms» more  ESA 2007»
14 years 1 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...
MFCS
1994
Springer
13 years 11 months ago
"The Big Sweep": On the Power of the Wavefront Approach to Voronoi Diagrams
We show that the wavefront approach to Voronoi diagrams (a deterministic line sweep algorithm that does not use geometric transform) can be generalized to distance measures more g...
Frank K. H. A. Dehne, Rolf Klein
JGTOOLS
2006
199views more  JGTOOLS 2006»
13 years 7 months ago
Fast Approximation of High-Order Voronoi Diagrams and Distance Transforms on the GPU
We present a graphics hardware implementation of the tangent-plane algorithm for computing the kth-order Voronoi diagram of a set of point sites in image space. Correct and effici...
Ian Fischer, Craig Gotsman
ISVD
2007
IEEE
14 years 1 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...