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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
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
2004
ACM
13 years 10 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
ICRA
1999
IEEE
110views Robotics» more  ICRA 1999»
13 years 9 months ago
Range-Sensor Based Navigation in Three Dimensions
This paper presents a new globally convergent rangesensor based navigation algorithm in three-dimensions, called 3DBug. The 3DBug algorithm navigates a point robot in a three-dime...
Ishay Kamon, Ehud Rivlin, Elon Rimon