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SIAMCOMP
2008
137views more  SIAMCOMP 2008»
13 years 4 months ago
Approximate Shortest Paths in Anisotropic Regions
Our goal is to find an approximate shortest path for a point robot moving in a planar subdivision with n vertices. Let 1 be a real number. Distances in each face of this subdivis...
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, Ya...
COMPGEOM
2007
ACM
13 years 8 months ago
Querying approximate shortest paths in anisotropic regions
We present a data structure for answering approximate shortest path queries in a planar subdivision from a fixed source. Let 1 be a real number. Distances in each face of this sub...
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, Ya...
CCCG
2010
13 years 6 months ago
The traveling salesman problem for lines and rays in the plane
In the Euclidean TSP with neighborhoods (TSPN), we are given a collection of n regions (neighborhoods) and we seek a shortest tour that visits each region. In the path variant, we...
Adrian Dumitrescu
COMPGEOM
2005
ACM
13 years 6 months ago
1-link shortest paths in weighted regions
We illustrate the Link Solver software for computing 1-link shortest paths in weighted regions. The Link Solver implements a prune-and-search method that can be used to approximat...
Ovidiu Daescu, James D. Palmer
ICCSA
2007
Springer
13 years 10 months ago
Shortest Path Queries Between Geometric Objects on Surfaces
Abstract. We consider geometric shortest path queries between arbitrary pairs of objects on a connected polyhedral surface P of genus g. The query objects are points, vertices, edg...
Hua Guo, Anil Maheshwari, Doron Nussbaum, Jör...