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COMPGEOM
1987
ACM
15 years 3 months ago
Simplified Voronoi Diagrams
We are interested in Voronoi diagrams as a tool in robot path planning, where the search for a path in an r-dimensional space may be simplified to a search on an (r- l)-dimensional...
John F. Canny, Bruce Randall Donald
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
14 years 11 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
IWCIA
2009
Springer
15 years 6 months ago
Hierarchical Discrete Medial Axis for Sphere-Tree Construction
In discrete geometry, the Distance Transformation and the Medial Axis Extraction are classical tools for shape analysis. In this paper, we present a Hierarchical Discrete Medial Ax...
Alain Broutta, David Coeurjolly, Isabelle Sivignon
COMPGEOM
2004
ACM
15 years 5 months ago
Low-dimensional embedding with extra information
A frequently arising problem in computational geometry is when a physical structure, such as an ad-hoc wireless sensor network or a protein backbone, can measure local information...
Mihai Badoiu, Erik D. Demaine, Mohammad Taghi Haji...
MFCS
1994
Springer
15 years 3 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