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» An Approximation Algorithm for Shortest Descending Paths
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PSIVT
2007
Springer
143views Multimedia» more  PSIVT 2007»
15 years 5 months ago
Approximate ESPs on Surfaces of Polytopes Using a Rubberband Algorithm
Let p and q be two points on the surface of a polytope Π. This paper provides a rubberband algorithm for computing a Euclidean shortest path between p and q (a so-called surface E...
Fajie Li, Reinhard Klette, Xue Fu
115
Voted
COMPGEOM
2000
ACM
15 years 4 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
DAM
2000
199views more  DAM 2000»
14 years 11 months ago
Approximation algorithms for the shortest total path length spanning tree problem
Given an undirected graph with a nonnegative weight on each edge, the shortest total path length spanning tree problem is to
Bang Ye Wu, Kun-Mao Chao, Chuan Yi Tang
DCG
2010
289views more  DCG 2010»
14 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...
SIAMCOMP
2010
133views more  SIAMCOMP 2010»
14 years 10 months ago
Faster Algorithms for All-pairs Approximate Shortest Paths in Undirected Graphs
Let G = (V, E) be a weighted undirected graph having non-negative edge weights. An estimate ˆδ(u, v) of the actual distance δ(u, v) between u, v ∈ V is said to be of stretch t...
Surender Baswana, Telikepalli Kavitha