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The rigid-body attitude tracking using vector and biased gyro measurements with unknown inertia matrix is studied in this note. First, a gyro-bias observer with global exponential stability is designed. Then, an attitude tracking controller…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Eduardo Espíndola , Yu Tang

Autonomous robotic systems heavily rely on environment knowledge to safely navigate. For search & rescue, a flying robot requires robust real-time perception, enabled by complementary sensors. IMU data constrains acceleration and rotation,…

Robotics · Computer Science 2025-11-19 Jan Quenzel , Sven Behnke

We propose a simple nonlinear observer for estimating the attitude and velocity of a rigid body from the measurements of specific acceleration, angular velocity, magnetic field (in body axes), and linear velocity (in body axes). It is…

Optimization and Control · Mathematics 2016-08-29 Philippe Martin , Ioannis Sarras , Minh-Duc Hua , Tarek Hamel

To enhance localization accuracy in urban environments, an innovative LiDAR-Visual-Inertial odometry, named HDA-LVIO, is proposed by employing hybrid data association. The proposed HDA_LVIO system can be divided into two subsystems: the…

Robotics · Computer Science 2024-03-12 Jian Shi , Wei Wang , Mingyang Qi , Xin Li , Ye Yan

Despite learning-based visual odometry (VO) has shown impressive results in recent years, the pretrained networks may easily collapse in unseen environments. The large domain gap between training and testing data makes them difficult to…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Shunkai Li , Xin Wu , Yingdian Cao , Hongbin Zha

In this paper, we propose a novel nonlinear observer based on neural networks, called neural observer, for observation tasks of linear time-invariant (LTI) systems and uncertain nonlinear systems. In particular, the neural observer designed…

Optimization and Control · Mathematics 2023-01-18 Song Chen , Shengze Cai , Tehuan Chen , Chao Xu , Jian Chu

Extended Reality (XR) systems deployed in industrial and operational settings rely on Visual--Inertial Odometry (VIO) for continuous six-degree-of-freedom pose tracking, yet these environments often involve sensing conditions that deviate…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Sourya Saha , Md. Nurul Absur

In $d$-dimensional de Sitter spacetime, consistency of the perturbative expansion necessitates imposing all second-order gravitational constraints associated with the $SO(1,d)$ isometry group, rather than restricting to the $\R\times…

High Energy Physics - Theory · Physics 2026-02-11 Bin Chen , Jie Xu

This paper revisits the problem of orientation estimation for rigid bodies through a novel framework based on scalar measurements. Unlike traditional vector-based methods, the proposed approach enables selective utilization of only the…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Hassan Alnahhal , Sifeddine Benahmed , Soulaimane Berkane , Tarel Hamel

Visual-inertial odometry (VIO) is widely used in various fields, such as robots, drones, and autonomous vehicles. However, real-world scenes often feature dynamic objects, compromising the accuracy of VIO. The diversity and partial…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Rui Zhou , Jingbin Liu , Junbin Xie , Jianyu Zhang , Yingze Hu , Jiele Zhao

This paper discusses stability and robustness properties of a recently proposed observer algorithm for linear time varying systems. The observer is based on the approximation and subsequent modification of the non-negative Lyapunov…

Optimization and Control · Mathematics 2018-09-19 Markus Tranninger , Sergiy Zhuk , Martin Steinberger , Leonid Fridman , Martin Horn

LiDAR Inertial Odometry (LIO) is a critical component for many mobile robots that need to navigate without relying on external positioning (e.g., GPS). Platforms that operate autonomously in different environments and with heterogeneous…

Robotics · Computer Science 2026-05-21 Rowan Border , Margarita Chli

This paper proposes a design methodology for non-linear state observers for invariant kinematic systems posed on finite dimensional connected Lie groups, and studies the associated fundamental system structure. The concept of synchrony of…

Optimization and Control · Mathematics 2008-05-08 C. Lageman , J. Trumpf , R. Mahony

Visual odometry and SLAM methods have a large variety of applications in domains such as augmented reality or robotics. Complementing vision sensors with inertial measurements tremendously improves tracking accuracy and robustness, and thus…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 David Schubert , Thore Goll , Nikolaus Demmel , Vladyslav Usenko , Jörg Stückler , Daniel Cremers

Existing LiDAR-Inertial Odometry (LIO) methods typically utilize the prior trajectory derived from the IMU integration to compensate for the motion distortion within LiDAR frames. However, discrepancies between the prior and true trajectory…

Robotics · Computer Science 2025-05-21 Tianxiang Zhang , Xuanxuan Zhang , Wenlei Fan , Xin Xia , Huai Yu , Lin Wang , You Li

Visual-Inertial Odometry (VIO) supports immersive Virtual Reality (VR) by fusing camera and Inertial Measurement Unit (IMU) data for real-time pose. However, current trend of offloading VIO to edge servers can lead server-side threat…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Soruya Saha , Md Nurul Absur , Saptarshi Debroy

We introduce the Visual Implicit Geometry Transformer (ViGT), an autonomous driving geometric model that estimates continuous 3D occupancy fields from surround-view camera rigs. ViGT represents a step towards foundational geometric models…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Arsenii Shirokov , Mikhail Kuznetsov , Danila Stepochkin , Egor Evdokimov , Daniil Glazkov , Nikolay Patakin , Anton Konushin , Dmitry Senushkin

Breakthroughs in visual odometry (VO) have fundamentally reshaped the landscape of robotics, enabling ultra-precise camera state estimation that is crucial for modern autonomous systems. Despite these advances, many learning-based VO…

Computer Vision and Pattern Recognition · Computer Science 2026-01-26 Chi-Yao Huang , Zeel Bhatt , Yezhou Yang

The article presents a bundle framework for nonlinear observer design on a manifold with a Lie group action. The group action on the manifold decomposes the manifold to a quotient structure and an orbit space, and the problem of observer…

Systems and Control · Electrical Eng. & Systems 2021-07-14 Anant A. Joshi , D. H. S. Maithripala , Ravi N. Banavar

Visual odometry (VO) aims to estimate camera poses from visual inputs -- a fundamental building block for many applications such as VR/AR and robotics. This work focuses on monocular RGB VO where the input is a monocular RGB video without…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Junda Cheng , Zhipeng Cai , Zhaoxing Zhang , Wei Yin , Matthias Muller , Michael Paulitsch , Xin Yang
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