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This paper introduces a new invariant extended Kalman filter design that produces real-time state estimates and rapid error convergence for the estimation of the human body movement even in the presence of sensor misalignment and initial…

Robotics · Computer Science 2025-08-05 Zenan Zhu , Seyed Mostafa Rezayat Sorkhabadi , Yan Gu , Wenlong Zhang

As a crucial infrastructure of intelligent mobile robots, LiDAR-Inertial odometry (LIO) provides the basic capability of state estimation by tracking LiDAR scans. The high-accuracy tracking generally involves the kNN search, which is used…

Robotics · Computer Science 2023-08-04 Xingyu Chen , Peixi Wu , Ge Li , Thomas H. Li

This work presents a novel target-free extrinsic calibration algorithm for a 3D Lidar and an IMU pair using an Extended Kalman Filter (EKF) which exploits the \textit{motion based calibration constraint} for state update. The steps include,…

Robotics · Computer Science 2021-09-30 Subodh Mishra , Gaurav Pandey , Srikanth Saripalli

We analyze the convergence aspects of the invariant extended Kalman filter (IEKF), when the latter is used as a deterministic non-linear observer on Lie groups, for continuous-time systems with discrete observations. One of the main…

Systems and Control · Computer Science 2015-10-20 Axel Barrau , Silvère Bonnabel

The Extended Kalman Filter (EKF) is both the historical algorithm for multi-sensor fusion and still state of the art in numerous industrial applications. However, it may prove inconsistent in the presence of unobservability under a group of…

Robotics · Computer Science 2019-03-14 Martin Brossard , Axel Barrau , Silvère Bonnabel

This letter proposes a reactive navigation strategy for recovering the altitude, translational velocity and orientation of Micro Aerial Vehicles. The main contribution lies in the direct and tight fusion of Inertial Measurement Unit (IMU)…

Robotics · Computer Science 2020-01-16 Shangkun Zhong , Pakpong Chirarattananon

In this paper, we focus on developing an Invariant Extended Kalman Filter (IEKF) for extended pose estimation for a noisy system with state equality constraints. We treat those constraints as noise-free pseudo-measurements. To this aim, we…

Systems and Control · Electrical Eng. & Systems 2024-04-17 Sven Goffin , Silvère Bonnabel , Olivier Brüls , Pierre Sacré

Recent advancements in LiDAR-Inertial Odometry (LIO) have boosted a large amount of applications. However, traditional LIO systems tend to focus more on localization rather than mapping, with maps consisting mostly of sparse geometric…

Robotics · Computer Science 2025-01-09 Zhong Wang , Lele Ren , Yue Wen , Hesheng Wang

This work addresses the critical lack of precision in state estimation in the Kalman filter for 3D multi-object tracking (MOT) and the ongoing challenge of selecting the appropriate motion model. Existing literature commonly relies on…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Mohamed Nagy , Naoufel Werghi , Bilal Hassan , Jorge Dias , Majid Khonji

This note presents a concise mathematical formulation of tightly-coupled LiDAR-Inertial Odometry within an iterated error-state Kalman filter framework using a VoxelMap representation. Rather than proposing a new algorithm, it provides a…

Robotics · Computer Science 2026-04-22 Zhihao Zhan

Recent advances in counter-adversarial systems have garnered significant research attention to inverse filtering from a Bayesian perspective. For example, interest in estimating the adversary's Kalman filter tracked estimate with the…

Optimization and Control · Mathematics 2023-08-15 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

We formulate the discrete-time inverse optimal control problem of inferring unknown parameters in the objective function of an optimal control problem from measurements of optimal states and controls as a nonlinear filtering problem. This…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Tian Zhao , Timothy L. Molloy

Efficient Visual-Inertial Odometry (VIO) is crucial for payload-constrained robots. Though modern optimization-based algorithms have achieved superior accuracy, the MSCKF-based VIO algorithms are still widely demanded for their efficient…

Robotics · Computer Science 2025-03-10 Xueyu Du , Lilian Zhang , Ruochen Liu , Maosong Wang , Wenqi Wu , Jun Mao

Inertial Navigation Systems (INS) are a key technology for autonomous vehicles applications. Recent advances in estimation and filter design for the INS problem have exploited geometry and symmetry to overcome limitations of the classical…

Robotics · Computer Science 2022-09-27 Alessandro Fornasier , Yonhon Ng , Robert Mahony , Stephan Weiss

This letter presents an accurate and robust Lidar Inertial Odometry framework. We fuse LiDAR scans with IMU data using a tightly-coupled iterative error state Kalman filter for robust and fast localization. To achieve robust correspondence…

Robotics · Computer Science 2024-05-08 Xingyu Ji , Shenghai Yuan , Pengyu Yin , Lihua Xie

In this work we propose a tightly-coupled Extended Kalman Filter framework for IMU-only state estimation. Strap-down IMU measurements provide relative state estimates based on IMU kinematic motion model. However the integration of…

In recent years, LiDAR-based localization and mapping methods have achieved significant progress thanks to their reliable and real-time localization capability. Considering single LiDAR odometry often faces hardware failures and degeneracy…

Robotics · Computer Science 2025-02-17 Hongming Shen , Zhenyu Wu , Yulin Hui , Wei Wang , Qiyang Lyu , Tianchen Deng , Yeqing Zhu , Bailing Tian , Danwei Wang

Visual-inertial odometry (VIO) systems traditionally rely on filtering or optimization-based techniques for egomotion estimation. While these methods are accurate under nominal conditions, they are prone to failure during severe…

Robotics · Computer Science 2022-10-04 Brandon Wagstaff , Emmett Wise , Jonathan Kelly

The multi-state constraint Kalman filter (MSCKF) has been proven to be more efficient than graph optimization for visual-based odometry while with similar accuracy. However, it has not been adequately considered and studied for LiDAR-based…

Robotics · Computer Science 2025-06-02 Tisheng Zhang , Man Yuan , Linfu Wei , Hailiang Tang , Xiaoji Niu

This paper proposes a state estimator for legged robots operating in slippery environments. An Invariant Extended Kalman Filter (InEKF) is implemented to fuse inertial and velocity measurements from a tracking camera and leg kinematic…

Robotics · Computer Science 2021-04-12 Sangli Teng , Mark Wilfried Mueller , Koushil Sreenath