Discrete extended Kalman filter on lie groups

Abstract : In this paper, we generalize the Discrete Extended Kalman Filter (D-EKF) to the case where the state and the observa- tions evolve on Lie group manifolds. We propose a new filter called Discrete Extended Kalman Filter on Lie Groups (D- LG-EKF). It assumes that the posterior distribution of the state is a concentrated Gaussian distribution on Lie group. Our formalism yields closed-form equations for both non- linear discrete propagation and update of the distribution pa- rameters based on the likelihood. We also show that the D- LG-EKF reduces to the traditional D-EKF if the state evolves on an Euclidean space. Our approach leads to a systematic methodology for the design of filters, which is illustrated by the application to a camera pose estimation problem. Results show that the D-LG-EKF outperforms both a constrained D- EKF and a D-EKF applied on the Lie algebra of the Lie group.
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Communication dans un congrès
European Signal Processing Conference, Sep 2013, Marrakech, Morocco. 2013
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Contributeur : Guillaume Bourmaud <>
Soumis le : dimanche 10 novembre 2013 - 19:04:03
Dernière modification le : mercredi 31 janvier 2018 - 13:46:02
Document(s) archivé(s) le : mardi 11 février 2014 - 04:36:26

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  • HAL Id : hal-00903252, version 1

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Guillaume Bourmaud, Rémi Mégret, Audrey Giremus, Yannick Berthoumieu. Discrete extended Kalman filter on lie groups. European Signal Processing Conference, Sep 2013, Marrakech, Morocco. 2013. 〈hal-00903252〉

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