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» Computing approximate shortest paths on convex polytopes
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COMPGEOM
2000
ACM
13 years 9 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
COMPGEOM
1996
ACM
13 years 8 months ago
Approximating Shortest Paths on a Convex Polytope in Three Dimensions
Sariel Har-Peled, Micha Sharir, Kasturi R. Varadar...
COMPGEOM
1998
ACM
13 years 8 months ago
Constructing Approximate Shortest Path Maps in Three Dimensions
We present a new technique for constructing a data-structure that approximates shortest path maps in IRd . By applying this technique, we get the following two results on approxim...
Sariel Har-Peled
COMPGEOM
2006
ACM
13 years 10 months ago
An optimal-time algorithm for shortest paths on a convex polytope in three dimensions
We present an optimal-time algorithm for computing (an implicit representation of) the shortest-path map from a fixed source s on the surface of a convex polytope P in three dime...
Yevgeny Schreiber, Micha Sharir
PSIVT
2007
Springer
143views Multimedia» more  PSIVT 2007»
13 years 10 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