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AROBOTS
2010
138views more  AROBOTS 2010»
13 years 4 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
TCS
2008
13 years 5 months ago
Anisotropic diagrams: Labelle Shewchuk approach revisited
F. Labelle and J. Shewchuk [3] have proposed a discrete definition of anisotropic Voronoi diagrams. These diagrams are parametrized by a metric field. Under mild hypotheses on the...
Jean-Daniel Boissonnat, Camille Wormser, Mariette ...
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
13 years 5 months ago
The Hausdorff Voronoi Diagram of Point Clusters in the Plane
We study the Hausdorff Voronoi diagram of point clusters in the plane, a generalization of Voronoi diagrams based on the Hausdorff distance function. We derive a tight combinatori...
Evanthia Papadopoulou
CCCG
2008
13 years 7 months ago
A Distributed Algorithm for Computing Voronoi Diagram in the Unit Disk Graph Model
We study the problem of computing Voronoi diagrams distributedly for a set of nodes of a network modeled as a Unit Disk Graph (UDG). We present an algorithm to solve this problem ...
Yurai Núñez Rodríguez, Henry ...
DCG
2010
171views more  DCG 2010»
13 years 5 months ago
Bregman Voronoi Diagrams
The Voronoi diagram of a point set is a fundamental geometric structure that partitions the space into elementary regions of influence defining a discrete proximity graph and dual...
Jean-Daniel Boissonnat, Frank Nielsen, Richard Noc...