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NHM
2010
87views more  NHM 2010»
12 years 11 months ago
The coolest path problem
We introduce the coolest path problem, which is a mixture of two well-known problems from distinct mathematical fields. One of them is the shortest path problem from combinatorial ...
Martin Frank, Armin Fügenschuh, Michael Herty...
WADS
2009
Springer
317views Algorithms» more  WADS 2009»
13 years 11 months ago
Shortest Path Problems on a Polyhedral Surface
We develop algorithms to compute edge sequences, Voronoi diagrams, shortest path maps, the Fréchet distance, and the diameter for a polyhedral surface. Distances on the surface a...
Atlas F. Cook, Carola Wenk
ICRA
2009
IEEE
170views Robotics» more  ICRA 2009»
13 years 11 months ago
Path diversity is only part of the problem
— The goal of motion planning is to find a feasible path that connects two positions and is free from collision with obstacles. Path sets are a robust approach to this problem i...
Ross A. Knepper, Matthew T. Mason
CPAIOR
2005
Springer
13 years 10 months ago
Shorter Path Constraints for the Resource Constrained Shortest Path Problem
Abstract. Recently, new cost-based filtering algorithms for shorter-path constraints have been developed. However, so far only the theoretical properties of shorter-path constrain...
Thorsten Gellermann, Meinolf Sellmann, Robert Wrig...
PAAPP
1998
149views more  PAAPP 1998»
13 years 4 months ago
Optimal Mesh Algorithms for Proximity and Visibility Problems in Simple Polygons*
We present optimal parallel algorithms that run in O( pn) time on a pn pn meshconnected computer for a number of fundamental problems concerning proximity and visibility in a simp...
Sumanta Guha