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CCCG
1993
13 years 9 months ago
Shortest Paths for a Two-robot Rendez-vous
In this paper, we consider an optimalmotionplanning problem for a pair of point robots in a planar environment with polygonal obstacles. We seek a pair of paths upon which the rob...
Erik L. Wynters, Joseph S. B. Mitchell
SIROCCO
2001
13 years 9 months ago
Competitive Online Routing in Geometric Graphs
We consider online routing algorithms for finding paths between the vertices of plane graphs. Although it has been shown in Bose et al. [4] that there exists no competitive routin...
Prosenjit Bose, Pat Morin
W2GIS
2004
Springer
14 years 1 months ago
Expansion-Based Algorithms for Finding Single Pair Shortest Path on Surface
Abstract. Finding single pair shortest paths on surface is a fundamental problem in various domains, like Geographic Information Systems (GIS) 3D applications, robotic path plannin...
Ke Deng, Xiaofang Zhou
CCCG
2003
13 years 9 months ago
On shortest paths in line arrangements
In this paper, we show that the shortest path between two points in a grid-like arrangement of two pencils of lines has a particularly simple structure, as was previously conjectu...
Telikepalli Kavitha, Kasturi R. Varadarajan
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 7 months ago
Approximation Algorithms for Shortest Descending Paths in Terrains
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases while we move p along the path from s to t. No efficient algorithm is known to ...
Mustaq Ahmed, Sandip Das, Sachin Lodha, Anna Lubiw...