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This paper presents a contact-aided inertial-kinematic floating base estimation for humanoid robots considering an evolution of the state and observations over matrix Lie groups. This is achieved through the application of a geometrically…

Autonomous underwater vehicles (AUV) are commonly used in many underwater applications. Recently, the usage of multi-rotor unmanned autonomous vehicles (UAV) for marine applications is receiving more attention in the literature. Usually,…

Robotics · Computer Science 2022-08-18 Barak Or , Itzik Klein

The paper discusses the improvement of the accuracy of an inertial navigation system created on the basis of MEMS sensors using machine learning (ML) methods. As input data for the classifier, we used infor-mation obtained from a developed…

Robotics · Computer Science 2022-12-08 Aleksandr N. Grekov , Aleksei A. Kabanov , Sergei Yu. Alekseev

In this paper we propose a new analytical preintegration theory for graph-based sensor fusion with an inertial measurement unit (IMU) and a camera (or other aiding sensors).Rather than using discrete sampling of the measurement dynamics as…

Robotics · Computer Science 2019-03-21 Kevin Eckenhoff , Patrick Geneva , Guoquan Huang

Sensor calibration, which can be intrinsic or extrinsic, is an essential step to achieve the measurement accuracy required for modern perception and navigation systems deployed on autonomous robots. To date, intrinsic calibration models for…

Robotics · Computer Science 2021-07-29 Jiunn-Kai Huang , Chenxi Feng , Madhav Achar , Maani Ghaffari , Jessy W. Grizzle

-Navigation through narrow and irregular gaps is an essential skill in autonomous drones for applications such as inspection, search-and-rescue, and disaster response. However, traditional planning and control methods rely on explicit gap…

Robotics · Computer Science 2026-04-08 Linzuo Zhang , Yu Hu , Feng Yu , Yang Deng , Wenxian Yu , Danping Zou

Visual-Inertial Odometry (VIO) is the problem of estimating a robot's trajectory by combining information from an inertial measurement unit (IMU) and a camera, and is of great interest to the robotics community. This paper develops a novel…

Robotics · Computer Science 2026-01-19 Pieter van Goor , Robert Mahony

Attitude tracking on the unit sphere of dimension $3$ based on sliding mode is considered in this paper. The tangent bundle of Lagrangian dynamics that describes the rotational motion of a rigid body is first shown to be a Lie group, and…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Eduardo Espindola , Yu Tang

Rotation-invariance is a desired property of machine-learning models for medical image analysis and in particular for computational pathology applications. We propose a framework to encode the geometric structure of the special Euclidean…

Computer Vision and Pattern Recognition · Computer Science 2020-02-21 Maxime W. Lafarge , Erik J. Bekkers , Josien P. W. Pluim , Remco Duits , Mitko Veta

This paper concerns the estimation problem of attitude, position, and linear velocity of a rigid-body autonomously navigating with six degrees of freedom (6 DoF). The navigation dynamics are highly nonlinear and are modeled on the matrix…

Systems and Control · Electrical Eng. & Systems 2021-08-27 Hashim A. Hashim , Mohammed Abouheaf , Mohammad A. Abido

Left-invariant optimal control problems on Lie groups form an important class of problems with big symmetry group. They are interesting from the theoretical point of view since they often can be completely studied, and general features can…

Optimization and Control · Mathematics 2021-05-18 Yuri Sachkov

The task of strapdown inertial navigation system (SINS) initial alignment is to calculate the attitude transformation matrix from body frame to navigation frame. In this paper, such attitude transformation matrix is divided into two parts…

Robotics · Computer Science 2021-10-27 Lubin Chang , Fangjun Qin , Jiangning Xu

This paper presents a differential geometric control approach that leverages SE(3) group invariance and equivariance to increase transferability in learning robot manipulation tasks that involve interaction with the environment.…

This paper investigates the localization problem of high-speed high-altitude unmanned aerial vehicle (UAV) with a monocular camera and inertial navigation system. It proposes a navigation method utilizing the complementarity of vision and…

Computer Vision and Pattern Recognition · Computer Science 2020-02-13 Xin-long Luo , Jia-hui Lv , Geng Sun

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 key problem is fusing independent concentrated Gaussian…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Yixiao Ge , Pieter van Goor , Robert Mahony

Correcting gradual position drift is a challenge in long-term subsea navigation. Though highly accurate, modern inertial navigation system (INS) estimates will drift over time due to the accumulated effects of sensor noise and biases, even…

Robotics · Computer Science 2023-07-12 Amro Al-Baali , Thomas Hitchcox , James Richard Forbes

In this paper the problem of guidance formulation for autonomous soft landing of unmanned aerial vehicles on stationary, moving, or accelerating / maneuvering ground vehicles at desired approach angles in both azimuth and elevation is…

Systems and Control · Electrical Eng. & Systems 2020-10-01 Sashank Modali , Satadal Ghosh , Sujit P. B

Combining deep neural networks with reinforcement learning has shown great potential in the next-generation intelligent control. However, there are challenges in terms of safety and cost in practical applications. In this paper, we propose…

Robotics · Computer Science 2018-11-16 Fan Wang , Bo Zhou , Ke Chen , Tingxiang Fan , Xi Zhang , Jiangyong Li , Hao Tian , Jia Pan

Deep learning has been used to demonstrate end-to-end neural network learning for autonomous vehicle control from raw sensory input. While LiDAR sensors provide reliably accurate information, existing end-to-end driving solutions are mainly…

Robotics · Computer Science 2021-05-21 Zhijian Liu , Alexander Amini , Sibo Zhu , Sertac Karaman , Song Han , Daniela Rus

Recent work has constructed neural networks that are equivariant to continuous symmetry groups such as 2D and 3D rotations. This is accomplished using explicit Lie group representations to derive the equivariant kernels and nonlinearities.…

Machine Learning · Computer Science 2022-12-08 Noah Shutty , Casimir Wierzynski