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University of Durham: Topology of Robot Motion Planning PDF

46 Pages·2018·English
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by ['Julio Artica']| 2018| 46 pages| English

About University of Durham: Topology of Robot Motion Planning

This document discusses topological problems related to robot motion planning. It studies the robot motion planning problem in detail and introduces a numerical invariant TC(X) that measures the "complexity of navigation" in a topological space X. The value of TC(X) determines the structure of motion planning algorithms. In some interesting examples like real projective spaces RPn, the value of TC(RPn)-1 equals the minimum dimension needed to immerse RPn into Euclidean space.

Detailed Information

Author:['Julio Artica']
Publication Year:2018
Pages:46
Language:English
Format:PDF
Price:FREE
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