Motion planning algorithms, topological properties and affine approximation

Bulletin of Computational Applied Mathematics

卷:3

My Ismail Mamouni¹  Younes Derfoufi² 

[1] Centre de Préparation á l'Agrégation, Département de Didactique des Mathématiques, CRMEF Rabat, Morocco;

[2] Département de Mathématiques et d'Informatique, Faculté des Sciences Meknes, Morocco;

关键词: Motion planning algorithms;    topological robotics;    approximation;    regular spaces;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown