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Conference Papers Year : 2004

An efficient method to compute the inverse Jacobian matrix in visual servoing

Abstract

The paper presents a method for estimating the inverse Jacobian matrix of a function, without computing the direct Jacobian matrix. The resulting inverse Jacobian matrix is shown to perform much better in modelling a relation $\theta= f^{-1}(x)$ than the classical Moore-Penrose inverse $J^+_f$ . Theoretical insight as well as comparisons in the domain of visual servoing are provided to demonstrate this assertion.
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Dates and versions

inria-00352026 , version 1 (12-01-2009)

Identifiers

  • HAL Id : inria-00352026 , version 1

Cite

Jean-Thierry Lapresté, Frédéric Jurie, Michel Dhome, François Chaumette. An efficient method to compute the inverse Jacobian matrix in visual servoing. IEEE Int. Conf. on Robotics and Automation, ICRA'04, 2004, New Orleans, Louisiana, France. pp.727-732. ⟨inria-00352026⟩
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