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» Computing approximate shortest paths on convex polytopes
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CG
2005
Springer
14 years 9 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
14 years 7 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
15 years 2 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
14 years 11 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»
15 years 11 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...