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» Computing approximate shortest paths on convex polytopes
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CG
2005
Springer
13 years 5 months ago
Computing geodesics on triangular meshes
We present a new algorithm to compute a geodesic path over a triangulated surface. Based on Sethian's Fast Marching Method and Polthier's Straightest Geodesics theory, w...
Dimas Martínez Morera, Luiz Velho, Paulo Ce...
FOCS
2010
IEEE
13 years 3 months ago
Replacement Paths via Fast Matrix Multiplication
Let G be a directed edge-weighted graph and let P be a shortest path from s to t in G. The replacement paths problem asks to compute, for every edge e on P, the shortest s-to-t pat...
Oren Weimann, Raphael Yuster
STACS
2010
Springer
13 years 10 months ago
Approximate Shortest Paths Avoiding a Failed Vertex: Optimal Size Data Structures for Unweighted Graphs
Let G = (V, E) be any undirected graph on V vertices and E edges. A path P between any two vertices u, v ∈ V is said to be t-approximate shortest path if its length is at most t ...
Neelesh Khanna, Surender Baswana
CCCG
2010
13 years 7 months ago
Approximate shortest path algorithms for sequences of pairwise disjoint simple polygons
Assume that two points p and q are given and a finite ordered set of simple polygons, all in the same plane; the basic version of a touring-a-sequence-of-polygons problem (TPP) is...
Xiuxia Pan, Fajie Li, Reinhard Klette
ICDE
2008
IEEE
190views Database» more  ICDE 2008»
14 years 6 months ago
Efficient Query Processing in Large Traffic Networks
Abstract-- We present an original graph embedding to speedup distance-range and k-nearest neighbor queries on static and/or dynamic objects located on a (weighted) graph. Our metho...
Hans-Peter Kriegel, Matthias Renz, Peer Kröge...