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» Querying approximate shortest paths in anisotropic regions
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DCG
2010
289views more  DCG 2010»
13 years 11 months ago
Algorithms for Approximate Shortest Path Queries on Weighted Polyhedral Surfaces
We consider the well known geometric problem of determining shortest paths between pairs of points on a polyhedral surface P, where P consists of triangular faces with positive we...
Lyudmil Aleksandrov, Hristo Djidjev, Hua Guo, Anil...
TCOS
2010
13 years 9 months ago
Approximate Shortest Path Queries Using Voronoi Duals
We propose an approximation method to answer point-to-point shortest path queries in undirected edge-weighted graphs, based on random sampling and Voronoi duals. We compute a simp...
Shinichi Honiden, Michael E. Houle, Christian Somm...
COMPGEOM
2005
ACM
14 years 24 days ago
1-link shortest paths in weighted regions
We illustrate the Link Solver software for computing 1-link shortest paths in weighted regions. The Link Solver implements a prune-and-search method that can be used to approximat...
Ovidiu Daescu, James D. Palmer
ALGORITHMICA
1998
94views more  ALGORITHMICA 1998»
13 years 10 months ago
A Fully Dynamic Approximation Scheme for Shortest Paths in Planar Graphs
In this paper we give a fully dynamic approximation scheme for maintaining all-pairs shortest paths in planar networks. Given an error parameter ε such that 0 < ε, our algorit...
Philip N. Klein, Sairam Subramanian
ISAAC
2010
Springer
308views Algorithms» more  ISAAC 2010»
13 years 8 months ago
Levelwise Mesh Sparsification for Shortest Path Queries
Shortest path query is a problem to answer the shortest path from the origin to the destination in short time. The network is fixed, and the goal of the study is to develop efficie...
Yuichiro Miyamoto, Takeaki Uno, Mikio Kubo