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Foundations of Robotics Seminar, October 27, 2010
Time
and Place | Seminar Abstract
An Equivalence Relation for Local Path Sets
Ross Knepper
Robotics Institute
CMU
NSH 1507
Talk 4:00 pm
We propose a novel enhancement to the task of collision-testing a set of local paths. Our approach circumvents expensive collision-tests, yet it declares a continuum of paths collision-free by exploiting both the structure of paths and the outcome of previous tests. We define a homotopy-like equivalence relation among local paths and provide algorithms to (1) classify paths based on equivalence, and (2) implicitly collision-test up to 90% of them. We then prove both correctness and completeness of these algorithms before providing experimental results showing a performance increase up to 300%.
The Robotics Institute is part of the School of Computer Science, Carnegie Mellon University.