5 citations · 5 across the 6 of their papers we have counts for
7 papers
Equivariant Filter for High Performance Image Tracking using an Event Camera
Angus Apps, Yixiao Ge, Timothy L. Molloy +1
Image tracking is the problem of estimating the transformation that relates a moving image of a scene to an original reference image. The problem is important in control of autonom…
Galilean State Estimation for Inertial Navigation Systems with Unknown Time Delay
Giulio Delama, Martin Scheiber, Yixiao Ge +3
Many Inertial Navigation Systems (INS) use Global Navigation Satellite System (GNSS) position as the primary measurement to drive filter performance and bound error growth. However…
The Difference between the Left and Right Invariant Extended Kalman Filter
Yixiao Ge, Giulio Delama, Martin Scheiber +4
The extended Kalman filter (EKF) has been the industry standard for state estimation problems over the past sixty years. The Invariant Extended Kalman Filter (IEKF) is a recent dev…
The Geometry of Extended Kalman Filters on Manifolds with Affine Connection
Yixiao Ge, Pieter van Goor, Robert Mahony
The extended Kalman filter (EKF) has been the industry standard for state estimation problems over the past sixty years. The classical formulation of the EKF is posed for nonlinear…
Equivariant Filter Design for Range-only SLAM
Yixiao Ge, Arthur Pearce, Pieter van Goor +1
Range-only Simultaneous Localisation and Mapping (RO-SLAM) is of interest due to its practical applications in ultra-wideband (UWB) and Bluetooth Low Energy (BLE) localisation in t…
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…