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TCOS
2010
13 years 6 months ago
Constructing Two-Dimensional Voronoi Diagrams via Divide-and-Conquer of Envelopes in Space
We present a general framework for computing two-dimensional Voronoi diagrams of different classes of sites under various distance functions. Most diagrams mentioned in the paper ...
Ophir Setter, Micha Sharir, Dan Halperin
ICRA
2006
IEEE
130views Robotics» more  ICRA 2006»
14 years 1 months ago
Voronoi Diagram and Fast Marching applied to Path Planning
— This paper presents a new Path Planning method which operates in two steps. In the first step the safest areas in the environment are extracted by means of a Voronoi diagram. ...
Santiago Garrido, Luis Moreno, Dolores Blanco
CORR
2011
Springer
157views Education» more  CORR 2011»
12 years 11 months ago
Orphan-Free Anisotropic Voronoi Diagrams
We describe conditions under which an appropriately-defined anisotropic Voronoi diagram of a set of sites in Euclidean space is guaranteed to be composed of connected cells in an...
Guillermo D. Cañas, Steven J. Gortler
WADS
2009
Springer
317views Algorithms» more  WADS 2009»
14 years 2 months ago
Shortest Path Problems on a Polyhedral Surface
We develop algorithms to compute edge sequences, Voronoi diagrams, shortest path maps, the Fréchet distance, and the diameter for a polyhedral surface. Distances on the surface a...
Atlas F. Cook, Carola Wenk
BIRTHDAY
2003
Springer
14 years 26 days ago
Area and Perimeter Derivatives of a Union of Disks
Abstract. We give analytic inclusion-exclusion formulas for the area and perimeter derivatives of a union of finitely many disks in the plane. Keywords. Disks, Voronoi diagram, al...
Ho-Lun Cheng, Herbert Edelsbrunner