Planar Motion Planning: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Planar Motion Planning (Motion Planning Problems)}} == Description == Given a set of non-intersecting, non-touching, axis-parallel line segment obstacles in the plane and a line segment robot (a rod or ladder), determine whether the rod can be moved (allowing both translation and rotation) from a given source to a given goal configuration without colliding with the obstacles. == Related Problems == Related: 3D Motion Planning == Parameters == <...") |
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== Parameters == | == Parameters == | ||
n: number of line segment obstacles | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Revision as of 12:04, 15 February 2023
Description
Given a set of non-intersecting, non-touching, axis-parallel line segment obstacles in the plane and a line segment robot (a rod or ladder), determine whether the rod can be moved (allowing both translation and rotation) from a given source to a given goal configuration without colliding with the obstacles.
Related Problems
Related: 3D Motion Planning
Parameters
n: number of line segment obstacles
Table of Algorithms
Currently no algorithms in our database for the given problem.
Reductions FROM Problem
| Problem | Implication | Year | Citation | Reduction |
|---|---|---|---|---|
| GeomBase | if: to-time $N^{2-\epsilon}$ for some $\epsilon > {0}$ then: from-time: $N^{2-\epsilon'}$ for some $\epsilon' > {0}$ |
1995 | https://doi.org/10.1016/0925-7721(95)00022-2 | link |
References/Citation
https://link.springer.com/content/pdf/10.1007/3-540-52846-6_81.pdf