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Motion planning algorithms, topological properties and affine approximation
Journal: Bulletin of Computational Applied Mathematics (Bull CompAMa) (Vol.3, No. 1)Publication Date: 2015-06-30
Authors : Younes Derfoufi; My Ismail Mamouni;
Page : 7-12
Keywords : Motion planning algorithms; topological robotics; approximation; regular spaces;
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Abstract
The topological study of the so-called "motion planning algorithms" emerged in the 2003-2004 with the works of M. Farber. We focus here on the topological study of the set of these algorithms, when the configuration space is a normed vector space. We especially show that any motion planning algorithm in a compact sub-configuration space can be approximated by some piecewise affine ones.
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Last modified: 2018-08-05 10:30:12