Algebraic Elimination for Parallel Robot Calibration

David Daney 1 Ioannis Emiris 2
1 COPRIN - Constraints solving, optimization and robust interval analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech
Abstract : This paper implements algebraic elimination methods for an accurate and general calibration of parallel robots, applied to Gough (or Stewart) platforms. It focuses on two approaches, namely algebraic variable elimination and monomial lineariza- tion, which are compared to a classical numerical optimization technique. We detail the former, since it is not often used for the problems at hand, and specify its application by means of the sparse resultant, combined with numerical linear algebra. We per- form several experiments that allow us to compare the three meth- ods in the presence of measurement errors. Our main conclusion is that elimination methods offer an interesting alternative to more well-established methods for parallel robot calibration by satisfy- ing the goals of accuracy and robustness. Moreover, out methods require no initial estimate and no hypothesis on the noise distribu- tion in order to derive a quality index per solution.
Type de document :
Communication dans un congrès
World Congress of International Federation for the Theory of Machines and Mechanisms (IFToMM), Apr 2004, Tianjin, China. pp.212-217, 2004
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https://hal.inria.fr/hal-00990064
Contributeur : David Daney <>
Soumis le : mardi 13 mai 2014 - 08:57:13
Dernière modification le : jeudi 11 janvier 2018 - 16:19:55

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  • HAL Id : hal-00990064, version 1

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David Daney, Ioannis Emiris. Algebraic Elimination for Parallel Robot Calibration. World Congress of International Federation for the Theory of Machines and Mechanisms (IFToMM), Apr 2004, Tianjin, China. pp.212-217, 2004. 〈hal-00990064〉

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