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20082024
most citedThe Geometry of Navigation Problems

48 citations · 74 across the 10 of their papers we have counts for

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cs.RO2024

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…

cs.RO2020

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…

cs.RO2020

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…

cs.RO2020

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…

cs.RO2020

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)…

cs.RO2019

A New Approach to 3D ICP Covariance Estimation

Martin Brossard, Silvere Bonnabel, Axel Barrau

In mobile robotics, scan matching of point clouds using Iterative Closest Point (ICP) allows estimating sensor displacements. It may prove important to assess the associated uncert…