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CCCG
2008
13 years 11 months ago
On distinct distances among points in general position and other related problems
A set of points in the plane is said to be in general position if no three of them are collinear and no four of them are cocircular. If a point set determines only distinct vector...
Adrian Dumitrescu
CCCG
2008
13 years 11 months ago
An Efficient Query Structure for Mesh Refinement
We are interested in the following mesh refinement problem: given an input set of points P in Rd , we would like to produce a good-quality triangulation by adding new points in P....
Benoît Hudson, Duru Türkoglu
CCCG
2008
13 years 11 months ago
Computing the Stretch Factor of Paths, Trees, and Cycles in Weighted Fixed Orientation Metrics
Let G be a graph embedded in the L1-plane. The stretch factor of G is the maximum over all pairs of distinct vertices p and q of G of the ratio LG 1 (p, q)/L1(p, q), where LG 1 (p...
Christian Wulff-Nilsen
CCCG
2008
13 years 11 months ago
Guaranteed Voronoi Diagrams of Uncertain Sites
In this paper we investigate the Voronoi diagram that is induced by a set of sites in the plane, where each site's precise location is uncertain but is known to be within a p...
Jeff Sember, William Evans
CCCG
2008
13 years 11 months ago
Achieving Spatial Adaptivity while Finding Approximate Nearest Neighbors
We present the first spatially adaptive data structure that answers approximate nearest neighbor (ANN) queries to points that reside in a geometric space of any constant dimension...
Jonathan Derryberry, Don Sheehy, Maverick Woo, Dan...