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» On the Construction of Abstract Voronoi Diagrams
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STACS
1990
Springer
13 years 11 months ago
On the Construction of Abstract Voronoi Diagrams
Kurt Mehlhorn, Stefan Meiser, Colm Ó'D&uacu...
CAD
2005
Springer
13 years 7 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
AROBOTS
2010
138views more  AROBOTS 2010»
13 years 5 months ago
A provably complete exploration strategy by constructing Voronoi diagrams
We present novel exploration algorithms and a control law that enables the construction of Voronoi diagrams over unknown areas using a single vehicle equipped with range sensors. T...
Jonghoek Kim, Fumin Zhang, Magnus Egerstedt
WADS
2009
Springer
267views Algorithms» more  WADS 2009»
13 years 12 months ago
Computing the Implicit Voronoi Diagram in Triple Precision
In a paper that considered arithmetic precision as a limited resource in the design and analysis of algorithms, Liotta, Preparata and Tamassia defined an “implicit Voronoi diagr...
David L. Millman, Jack Snoeyink
CAD
2006
Springer
13 years 7 months ago
Region-expansion for the Voronoi diagram of 3D spheres
Given a set of spheres in 3D, constructing its Voronoi diagram in Euclidean distance metric is not easy at all even though many mathematical properties of its structure are known....
Donguk Kim, Deok-Soo Kim