AROBOTS
2010
14 years 19 days ago
2010
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...
TCOS
2010
14 years 20 days ago
2010
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 ...
TCS
2008
14 years 2 months ago
2008
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...
DCG
2010
14 years 2 months ago
2010
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...
WSCG
2003
14 years 3 months ago
2003
In this paper we present the geometrical construction of an approximate generalized Voronoi diagram for generalized polygons and circular objects based on their minimum geometrica...
DGO
2004
14 years 3 months ago
2004
: The use of Voronoi diagrams in GIS-oriented spatiotemporal databases is considered. The Voronoi algorithms generate appropriate meshes for data interpolation. We illustrate the d...
COMPGEOM
2008
ACM
14 years 4 months ago
2008
ACM
This movie illustrates exact construction and maintenance of arrangements induced by arcs of great circles embedded on the sphere, also known as geodesic arcs, and exact computati...
COMPGEOM
1994
ACM
14 years 6 months ago
1994
ACM
We give simple randomized incremental algorithms for computing the k-level in an arrangement of n lines in the plane or in an arrangement of n planes in R3. The expected running ti...
COMPGEOM
2000
ACM
14 years 6 months ago
2000
ACM
: We present a new approach for computing generalized Voronoi diagrams in two and three dimensions using interpolation-based polygon rasterization hardware. The input primitives ma...
ICIP
2003
IEEE
14 years 7 months ago
2003
IEEE
We propose a novel algorithm to compute Voronoi diagrams of order k in arbitrary 2D and 3D domains. The algorithm is based on a fast ordered propagation distance transformation ca...