diff --git a/papers.md b/papers.md index 1f97318..8d35d9b 100644 --- a/papers.md +++ b/papers.md @@ -82,6 +82,10 @@ This page collects and categorizes key papers on invariant and equivariant filte _Robert Mahony, Tarek Hamel, Jochen Trumpf_ Technical companion to the EqF papers that develops the underlying systems-theoretic foundation: equivariant lifts, the relationship between symmetry groups and homogeneous state spaces, and the structural properties that enable EqF and IEKF design. +- **[Equivariant Filter Design for Discrete-time systems](https://arxiv.org/abs/2209.04965)** (2022) + _Yixiao Ge, Pieter van Goor, Robert Mahony_ + Presents the equivariant structure of a discrete-time system and proposes a discrete-time version of the EqF. + ### 2.2 Advanced EqF Architectures - **[Equivariant Filter Design for Inertial Navigation Systems with Input Measurement Biases](https://arxiv.org/pdf/2202.02058)** (2022) @@ -108,6 +112,10 @@ This page collects and categorizes key papers on invariant and equivariant filte _Alessandro Fornasier, Yonhon Ng, Christian Brommer, Christoph Böhm, Robert Mahony, Stephan Weiss_ Paper that introduces a new generic formulation for a gyroscope aided attitude estimator, taking advantage of states in a single equivariant geometric structure. +- **[Equivariant Filter for Radar-Inertial Odometry](https://arxiv.org/abs/2604.23033)** (2026) + _Giulio Delama, Jan Michalczyk, Morten Nissov, Martin Scheiber, Alessandro Fornasier, Kostas Alexis, Stephan Weiss_ + Proposes a discrete-time EqF for RIO based on a state-of-the-art Lie group symmetry that geometrically couples navigation states and IMU biases, and incorporates radar-IMU extrinsic calibration and multi-state constraint updates. + ## 3. Applications and Advanced Topics ### 3.1 Legged Robotics & Contact Estimation @@ -148,6 +156,12 @@ This page collects and categorizes key papers on invariant and equivariant filte _Anbo Tao, Yarong Luo, Chunxi Xia, Chi Guo, Xingxing Li_ An EqF-based tightly coupled LiDAR-inertial odometry system. Uses a semi-direct product symmetry group that jointly couples IMU bias, navigation state, and LiDAR extrinsic calibration into a single equivariant structure, suppressing linearization error and improving robustness. +### 3.4 IMU Preintegration + +- **[Equivariant IMU Preintegration with Biases: a Galilean Group Approach](https://arxiv.org/abs/2411.05548)** (2024) + _Giulio Delama, Alessandro Fornasier, Robert Mahony, Stephan Weiss_ + An equivariant formulation of discrete-time IMU preintegration on the left-trivialized tangent group of the Galilean group. + ## 4. General Equivariance **Disclaimer**: There are many more works in the field of general equivariance than we can list here. This part will not be exhaustive, but rather an interesting pointer into that literature! @@ -186,4 +200,4 @@ This page collects and categorizes key papers on invariant and equivariant filte --- -For software and practical implementations, see the **[Examples and Implementations](notebooks.md)** section of this site and the GTSAM EKF variants documentation. \ No newline at end of file +For software and practical implementations, see the **[Examples and Implementations](notebooks.md)** section of this site and the GTSAM EKF variants documentation.