A. A. Aleksandrova, A. V. Ahterov, A. Yu. Voronin, A. A. Kiril’chenko, S. M. Sokolov, E. V. Shvaikovskiy, “Basics of Theoretical Robotechnics. Tolerant Spaces Theory (Review)”, Keldysh Institute preprints, 2009,045, 25 pp.

Basics of Theoretical Robotechnics. Tolerant Spaces Theory (Review)

A. A. Aleksandrova, A. V. Ahterov, A. Yu. Voronin, A. A. Kiril’chenko, S. M. Sokolov, E. V. Shvaikovskiy

Abstract: This work highlights of basics of tolerance space theory, which was proposed by E.Ziman, M. Arbib, Yu. Shraider and A. Sossinsky. The basic relations in the task of path finding problem for mobile robots is visibility relation (tolerance relation). This work is highlighted the basics of terrain theory (metric tolerance spaces) for path finding and navigation problems.