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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 6 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 17 days 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 7 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 7 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
13 years 12 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. ...