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COMPGEOM
2005
ACM
13 years 6 months ago
Shortest path amidst disc obstacles is computable
An open question in Exact Geometric Computation is whether there are transcendental computations that can be made “geometrically exact”. Perhaps the simplest such problem in c...
Ee-Chien Chang, Sung Woo Choi, DoYong Kwon, Hyungj...
IJRR
2008
75views more  IJRR 2008»
13 years 4 months ago
Planning Time-Minimal Safe Paths Amidst Unpredictably Moving Obstacles
In this paper we discuss the problem of planning safe paths amidst unpredictably moving obstacles in the plane. Given the initial positions and the maximum speeds of the moving ob...
Jur P. van den Berg, Mark H. Overmars
ICRA
2007
IEEE
154views Robotics» more  ICRA 2007»
13 years 10 months ago
Minimum Wheel-Rotation Paths for Differential Drive Mobile Robots Among Piecewise Smooth Obstacles
— Computing optimal paths for mobile robots is an interesting and important problem. This paper presents a method to compute the shortest path for a differential-drive mobile rob...
Hamid Reza Chitsaz, Steven M. LaValle
IJRR
2008
115views more  IJRR 2008»
13 years 4 months ago
Planning High-quality Paths and Corridors Amidst Obstacles
The motion-planning problem, involving the computation of a collision-free path for a moving entity amidst obstacles, is a central problem in fields like Robotics and Game Design....
Ron Wein, Jur P. van den Berg, Dan Halperin
AAIM
2009
Springer
119views Algorithms» more  AAIM 2009»
13 years 11 months ago
Link Distance and Shortest Path Problems in the Plane
We develop algorithms to compute Voronoi diagrams, shortest path maps, and the Fr´echet distance in the plane with polygonal obstacles. Distances between points are measured eithe...
Atlas F. Cook, Carola Wenk