43 citations · 63 across the 21 of their papers we have counts for
6 papers · 1 filter
Equivariant IMU Preintegration with Biases: a Galilean Group Approach
Giulio Delama, Alessandro Fornasier, Robert Mahony +1
This letter proposes a new approach for Inertial Measurement Unit (IMU) preintegration, a fundamental building block that can be leveraged in different optimization-based Inertial…
Global Minimum Energy State Estimation for Embedded Nonlinear Systems with Symmetry
Pieter van Goor, Robert Mahony
Choosing a nonlinear state estimator for an application often involves a trade-off between local optimality (such as provided by an extended Kalman filter) and (almost-/semi-) glob…
Geometric Data Fusion for Collaborative Attitude Estimation
Yixiao Ge, Behzad Zamani, Pieter van Goor +2
In this paper, we consider the collaborative attitude estimation problem for a multi-agent system. The agents are equipped with sensors that provide directional measurements and re…
A Geometric Perspective on Fusing Gaussian Distributions on Lie Groups
Yixiao Ge, Pieter van Goor, Robert Mahony
Stochastic inference on Lie groups plays a key role in state estimation problems such as; inertial navigation, visual inertial odometry, pose estimation in virtual reality, etc. A…
Exploiting polar symmetry in designing equivariant observers for vision-based motion estimation
Tarek Bouazza, Robert Mahony, Tarek Hamel
Accurately estimating camera motion from image sequences poses a significant challenge in computer vision and robotics. Many computer vision methods first compute the essential mat…
Exploiting Equivariance in the Design of Tracking Controllers for Euler-Poincare Systems on Matrix Lie Groups
Matthew Hampsey, Pieter van Goor, Ravi Banavar +1
The trajectory tracking problem is a fundamental control task in the study of mechanical systems. A key construction in tracking control is the error or difference between an actua…