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arXiv · 1803.02076

Invariant Smoothing on Lie Groups

Paul Chauchat·Axel Barrau·Silvère Bonnabel
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Abstract

In this paper we propose a (non-linear) smoothing algorithm for group-affine observation systems, a recently introduced class of estimation problems on Lie groups that bear a particular structure. As most non-linear smoothing methods, the proposed algorithm is based on a maximum a posteriori estimator, determined by optimization. But owing to the specific properties of the considered class of problems, the involved linearizations are proved to have a form of independence with respect to the current estimates, leveraged to avoid (partially or sometimes totally) the need to relinearize. The method is validated on a robot localization example, both in simulations and on real experimental data.

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Paul Chauchat, Axel Barrau, Silvère Bonnabel. 2018-03-06. Invariant Smoothing on Lie Groups. https://arxiv.org/abs/1803.02076

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