48 citations · 66 across the 6 of their papers we have counts for
13 papers
Invariant Smoothing with low process noise
Paul Chauchat, Silvere Bonnabel, Axel Barrau
In this paper we address smoothing-that is, optimisation-based-estimation techniques for localisation problems in the case where motion sensors are very accurate. Our mathematical…
The Geometry of Navigation Problems
Axel Barrau, Silvere Bonnabel
While many works exploiting an existing Lie group structure have been proposed for state estimation, in particular the Invariant Extended Kalman Filter (IEKF), few papers address t…
Factor Graph-Based Smoothing Without Matrix Inversion for Highly Precise Localization
Paul Chauchat, Axel Barrau, Silvère Bonnabel
We consider the problem of localizing a manned, semi-autonomous, or autonomous vehicle in the environment using information coming from the vehicle's sensors, a problem known as na…
Associating Uncertainty to Extended Poses for on Lie Group IMU Preintegration with Rotating Earth
Martin Brossard, Axel Barrau, Paul Chauchat +1
The recently introduced matrix group SE2(3) provides a 5x5 matrix representation for the orientation, velocity and position of an object in the 3-D space, a triplet we call "extend…
A Code for Unscented Kalman Filtering on Manifolds (UKF-M)
Martin Brossard, Axel Barrau, Silvere Bonnabel
The present paper introduces a novel methodology for Unscented Kalman Filtering (UKF) on manifolds that extends previous work by the authors on UKF on Lie groups. Beyond filtering…
A Mathematical Framework for IMU Error Propagation with Applications to Preintegration
Axel Barrau, Silvere Bonnabel
To fuse information from inertial measurement units (IMU) with other sensors one needs an accurate model for IMU error propagation in terms of position, velocity and orientation, a…