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PAMI
2011
12 years 8 months ago
Construction of Iso-Contours, Bisectors, and Voronoi Diagrams on Triangulated Surfaces
—In the research of computer vision and machine perception, three-dimensional objects are usually represented by 2-manifold triangular meshes M. In this paper, we present practic...
Yong-Jin Liu, Zhanqing Chen, Kai Tang
MFCS
1994
Springer
13 years 9 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
IPL
2006
108views more  IPL 2006»
13 years 5 months ago
Robustness of k-gon Voronoi diagram construction
In this paper, we present a plane sweep algorithm for constructing the Voronoi diagram of a set of non-crossing line segments in 2D space using a distance metric induced by a regu...
Zhenming Chen, Evanthia Papadopoulou, Jinhui Xu
COMPGEOM
2006
ACM
13 years 11 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. ...
CCCG
2010
13 years 6 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