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CAD
2006
Springer
13 years 4 months ago
A sweepline algorithm for Euclidean Voronoi diagram of circles
Presented in this paper is a sweepline algorithm to compute the Voronoi diagram of a set of circles in a two-dimensional Euclidean space. The radii of the circles are non-negative...
Li Jin, Donguk Kim, Lisen Mu, Deok-Soo Kim, Shi-Mi...
MFCS
1994
Springer
13 years 8 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
CAD
2005
Springer
13 years 4 months ago
Euclidean Voronoi diagram of 3D balls and its computation via tracing edges
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...
Deok-Soo Kim, Youngsong Cho, Donguk Kim
COMPGEOM
2006
ACM
13 years 10 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. ...
COMPGEOM
2008
ACM
13 years 6 months ago
Arrangements of geodesic arcs on the sphere
This movie illustrates exact construction and maintenance of arrangements induced by arcs of great circles embedded on the sphere, also known as geodesic arcs, and exact computati...
Efi Fogel, Ophir Setter, Dan Halperin