101 citations
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cs.RO2018
Invariant Smoothing on Lie Groups
Paul Chauchat, Axel Barrau, Silvère Bonnabel
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 parti…
cs.RO2015★ 101 cited
An EKF-SLAM algorithm with consistency properties
Axel Barrau, Silvere Bonnabel
In this paper we address the inconsistency of the EKF-based SLAM algorithm that stems from non-observability of the origin and orientation of the global reference frame. We prove o…