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This paper analyzes directional tracking in 2D with the extended Kalman filter on Lie groups (LG-EKF). The study stems from the problem of tracking objects moving in 2D Euclidean space, with the observer measuring direction only, thus…

Robotics · Computer Science 2017-08-21 Ivan Markovic , Josip Cesic , Ivan Petrovic

This paper proposes FAST-LIVO2: a fast, direct LiDAR-inertial-visual odometry framework to achieve accurate and robust state estimation in SLAM tasks and provide great potential in real-time, onboard robotic applications. FAST-LIVO2 fuses…

While many works exploiting an existing Lie group structure have been proposed for state estimation, in particular the Invariant Extended Kalman Filter (IEKF), few papers address the construction of a group structure that allows casting a…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Axel Barrau , Silvere Bonnabel

This study presents an innovative hybrid Visual-Inertial Odometry (VIO) method for Unmanned Aerial Vehicles (UAVs) that is resilient to environmental challenges and capable of dynamically assessing sensor reliability. Built upon a loosely…

Robotics · Computer Science 2025-12-22 Ufuk Asil , Efendi Nasibov

Odometry estimation using light detection and ranging (LiDAR) and an inertial measurement unit (IMU), known as LiDAR-inertial odometry (LIO), often suffers from performance degradation in degenerate environments, such as long corridors or…

Robotics · Computer Science 2026-04-06 Seongjun Kim , Daehan Lee , Junwoo Hong , Sanghyun Park , Hyunyoung Jo , Soohee Han

To achieve robust and accurate state estimation for robot navigation, we propose a novel Visual Inertial Odometry(VIO) algorithm with line features upon the theory of invariant Kalman filtering and Cubature Kalman Filter (CKF). In contrast…

Robotics · Computer Science 2019-12-30 Deli Yan , Chunhui Wu , Weiming Wang , Yu Song , Shaohua Li

Mainstream Visual-inertial odometry (VIO) systems rely on point features for motion estimation and localization. However, their performance degrades in challenging scenarios. Moreover, the localization accuracy of multi-state constraint…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Aiping Wang , Zhaolong Yang , Shuwen Chen , Hai Zhang

With robots being deployed in increasingly complex environments like underground mines and planetary surfaces, the multi-sensor fusion method has gained more and more attention which is a promising solution to state estimation in the such…

Robotics · Computer Science 2023-03-24 Fuzhang Han , Han Zheng , Wenjun Huang , Rong Xiong , Yue Wang , Yanmei Jiao

The fusion of camera sensor and inertial data is a leading method for ego-motion tracking in autonomous and smart devices. State estimation techniques that rely on non-linear filtering are a strong paradigm for solving the associated…

Robotics · Computer Science 2022-05-30 Arno Solin , Rui Li , Andrea Pilzer

In many physical applications, the system's state varies with spatial variables as well as time. The state of such systems is modelled by partial differential equations and evolves on an infinite-dimensional space. Systems modelled by…

Optimization and Control · Mathematics 2022-02-17 Sepideh Afshar , Fabian Germ , Kirsten A. Morris

This paper proposes an $SE_2(3)$ based extended Kalman filtering (EKF) framework for the inertial-integrated state estimation problem. The error representation using the straight difference of two vectors in the inertial navigation system…

Robotics · Computer Science 2021-03-15 Yarong Luo , Chi Guo , Shengyong You , Jianlang Hu , Jingnan Liu

Accurate relative positioning is crucial for swarm aerial robotics, enabling coordinated flight and collision avoidance. Although vision-based tracking has been extensively studied, 3D LiDAR-based methods remain underutilized despite their…

Robotics · Computer Science 2026-03-17 Nivand Khosravi , Meysam Basiri , Rodrigo Ventura

Real-world applications of bipedal robot walking require accurate, real-time state estimation. State estimation for locomotion over dynamic rigid surfaces (DRS), such as elevators, ships, public transport vehicles, and aircraft, remains…

Robotics · Computer Science 2021-09-06 Yuan Gao , Yan Gu

Autonomous mobile robots operating in novel environments depend critically on accurate state estimation, often utilizing visual and inertial measurements. Recent work has shown that an invariant formulation of the extended Kalman filter…

Robotics · Computer Science 2025-10-06 Abdullah Altawaitan , Jason Stanley , Sambaran Ghosal , Thai Duong , Nikolay Atanasov

Various methods have been proposed for the nonlinear filtering problem, including the extended Kalman filter (EKF), iterated extended Kalman filter (IEKF), unscented Kalman filter (UKF) and iterated unscented Kalman filter (IUKF). In this…

Methodology · Statistics 2019-09-25 John T. Kent , Shambo Bhattacharjee , Weston R. Faber , Islam I. Hussein

Invariant Extended Kalman Filter (IEKF) has been a significant technique in vision-aided sensor fusion. However, it usually suffers from high computational burden when jointly optimizing camera poses and the landmarks. To improve its…

Robotics · Computer Science 2025-08-08 Tong Hua , Jiale Han , Wei Ouyang

Multi-modal sensor integration has become a crucial prerequisite for the real-world navigation systems. Recent studies have reported successful deployment of such system in many fields. However, it is still challenging for navigation tasks…

Robotics · Computer Science 2023-08-23 Yusheng Wang , Yidong Lou , Weiwei Song , Bing Zhan , Feihuang Xia , Qigeng Duan

Typical iterated filters, such as the iterated extended Kalman filter (IEKF), iterated unscented Kalman filter (IUKF), and iterated posterior linearization filter (IPLF), have been developed to improve the linearization point (or density)…

Optimization and Control · Mathematics 2024-04-25 Anton Kullberg , Martin A. Skoglund , Isaac Skog , Gustaf Hendeby

This paper addresses the issues of unmanned aerial vehicle (UAV) indoor navigation, specifically in areas where GPS and magnetometer sensor measurements are unavailable or unreliable. The proposed solution is to use an error state extended…

Robotics · Computer Science 2021-09-13 Lovro Markovic , Marin Kovac , Robert Milijas , Marko Car , Stjepan Bogdan

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 development of the EKF for the class of group-affine systems on…