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CCCG
2006
13 years 6 months ago
(Approximate) Conic Nearest Neighbors and the induced Voronoi Diagram
For a given point set in Euclidean space we consider the problem of finding (approximate) nearest neighbors of a query point but restricting only to points that lie within a fixed...
Stefan Funke, Theocharis Malamatos, Domagoj Matije...
STOC
2002
ACM
119views Algorithms» more  STOC 2002»
14 years 4 months ago
Space-efficient approximate Voronoi diagrams
Given a set S of n points in IRd , a (t, )-approximate Voronoi diagram (AVD) is a partition of space into constant complexity cells, where each cell c is associated with t represe...
Sunil Arya, Theocharis Malamatos, David M. Mount
JGTOOLS
2006
199views more  JGTOOLS 2006»
13 years 4 months ago
Fast Approximation of High-Order Voronoi Diagrams and Distance Transforms on the GPU
We present a graphics hardware implementation of the tangent-plane algorithm for computing the kth-order Voronoi diagram of a set of point sites in image space. Correct and effici...
Ian Fischer, Craig Gotsman
SAC
2009
ACM
13 years 11 months ago
GPU-based computation of distance functions on road networks with applications
We present a GPU-based algorithm for computing discretized distance functions on road networks. As applications, we provide algorithms for computing discrete Order-k Network Voron...
Marta Fort, Joan Antoni Sellarès
COMPGEOM
2004
ACM
13 years 10 months ago
Deformable spanners and applications
For a set S of points in Rd, an s-spanner is a graph on S such that any pair of points is connected via some path in the spanner whose total length is at most s times the Euclidea...
Jie Gao, Leonidas J. Guibas, An Nguyen