abstract 14

Bulletin of Computational Applied Mathematics (Bull CompAMa)

14

Motion planning algorithms, topological properties and affine approximation

Younes Derfoufi, My Ismail Mamouni

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.

Keywords: Motion planning algorithms; topological robotics; approximation; regular spaces.

Cite this paper:

Derfoufi Y., Mamouni M.I., Motion planning algorithms, topological properties and affine approximation,

Bull. Comput. Appl. Math. (Bull CompAMa),

Vol. 3, No. 1, Jan-Jun, pp.7-12, 2015