48 citations · 66 across the 7 of their papers we have counts for
11 papers · 1 filter
Invariant filtering for wheeled vehicle localization with unknown wheel radius and unknown GNSS lever arm
Paul Chauchat, Silvère Bonnabel, Axel Barrau
We consider the problem of observer design for a nonholonomic car (more generally a wheeled robot) equipped with wheel speeds with unknown wheel radius, and whose position is measu…
Invariant Smoothing for Localization: Including the IMU Biases
Paul Chauchat, Silvère Bonnabel, Axel Barrau
In this article we investigate smoothing (i.e., optimisation-based) estimation techniques for robot localization using an IMU aided by other localization sensors. We more particula…
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…
Denoising IMU Gyroscopes with Deep Learning for Open-Loop Attitude Estimation
Martin Brossard, Silvere Bonnabel, Axel Barrau
This paper proposes a learning method for denoising gyroscopes of Inertial Measurement Units (IMUs) using ground truth data, and estimating in real time the orientation (attitude)…