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» The Hausdorff Voronoi Diagram of Point Clusters in the Plane
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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
AAIM
2009
Springer
119views Algorithms» more  AAIM 2009»
14 years 1 months ago
Link Distance and Shortest Path Problems in the Plane
We develop algorithms to compute Voronoi diagrams, shortest path maps, and the Fr´echet distance in the plane with polygonal obstacles. Distances between points are measured eithe...
Atlas F. Cook, Carola Wenk
CCCG
2006
13 years 8 months ago
An O(n log n) Algorithm for the All-Farthest-Segments Problem for a Planar Set of Points
In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n log n) algorithm for th...
Asish Mukhopadhyay, Robert L. Scot Drysdale
CCCG
2010
13 years 8 months ago
Existence of zone diagrams in compact subsets of uniformly convex spaces
A zone diagram is a relatively new concept which has emerged in computational geometry and is related to Voronoi diagrams. Formally, it is a fixed point of a certain mapping, and ...
Eva Kopecká, Daniel Reem, Simeon Reich
COMPGEOM
2006
ACM
14 years 1 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. ...