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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
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
STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 4 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen
DCG
2008
93views more  DCG 2008»
13 years 4 months ago
Metric Combinatorics of Convex Polyhedra: Cut Loci and Nonoverlapping Unfoldings
Let S be the boundary of a convex polytope of dimension d + 1, or more generally let S be a convex polyhedral pseudomanifold. We prove that S has a polyhedral nonoverlapping unfold...
Ezra Miller, Igor Pak