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» Shortest path amidst disc obstacles is computable
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COMPGEOM
2004
ACM
13 years 10 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
COMGEO
2006
ACM
13 years 4 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
IWANN
1997
Springer
13 years 9 months ago
Dynamic Path Planning with Spiking Neural Networks
: The path planning problem is relevant for all applications in which a mobil robot should autonomously navigate. Finding the shortest path in an environment that is only partialy ...
Ulrich Roth, Marc Walker, Arne Hilmann, Heinrich K...
ICRA
2010
IEEE
106views Robotics» more  ICRA 2010»
13 years 3 months ago
Computing push plans for disk-shaped robots
Suppose we want to move a passive object along a given path, among obstacles in the plane, by pushing it with an active robot. We present two algorithms to compute a push plan for...
Mark de Berg, Dirk H. P. Gerrits
COMPGEOM
2008
ACM
13 years 6 months ago
Maximum thick paths in static and dynamic environments
We consider the problem of finding a maximum number of disjoint paths for unit disks moving amidst static or dynamic obstacles. For the static case we give efficient exact algorit...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...