COMPGEOM
1993
ACM
13 years 8 months ago
1993
ACM
For a polygon P, the bounded Voronoi diagram of P is a partition of P into regions assigned to the vertices of P. A point p inside P belongs to the region of a vertex v if and onl...
COMPGEOM
1999
ACM
13 years 8 months ago
1999
ACM
We wish to extract the topology from scanned maps. In previous work [15] this was done by extracting a skeleton from the Voronoi diagram, but this required vertex labelling and wa...
GMP
2010
IEEE
13 years 8 months ago
2010
IEEE
The Voronoi diagram is a fundamental geometry structure widely used in various fields, especially in computer graphics and geometry computing. For a set of points in a compact 3D d...
ICRA
2000
IEEE
13 years 8 months ago
2000
IEEE
We present techniques for fast motion planning by using discrete approximations of generalized Voronoi diagrams, computed with graphics hardware. Approaches based on this diagram ...
WADS
2001
Springer
13 years 8 months ago
2001
Springer
In this paper we discuss the kinetic maintenance of the Euclidean Voronoi diagram and its dual, the Delaunay triangulation, for a set of moving disks. The most important aspect in ...
WADS
2009
Springer
13 years 8 months ago
2009
Springer
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...
CDC
2009
IEEE
13 years 9 months ago
2009
IEEE
— We present novel exploration algorithms and a control law that enable the construction of Voronoi diagrams over unknown areas using a single autonomous vehicle equipped with ra...
ESA
2003
Springer
13 years 9 months ago
2003
Springer
This paper presents a dynamic algorithm for the construction of the Euclidean Voronoi diagram of a set of convex objects in the plane. We consider first the Voronoi diagram of smo...
BIRTHDAY
2003
Springer
13 years 9 months ago
2003
Springer
We discuss the design of Java applets that visualize how the Voronoi diagram of n points continuously changes as individual points are moved across the plane, or as the underlying...
BIRTHDAY
2003
Springer
13 years 9 months ago
2003
Springer
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...