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A common problem in physics and engineering is determination of the orientation of an object given its angular velocity. When the direction of the angular velocity changes in time, this is a nontrivial problem involving coupled differential…

General Relativity and Quantum Cosmology · Physics 2017-10-24 Michael Boyle

In this work, we start with a generic mathematical framework for the equations of motion (EOM) in flight mechanics with six degrees of freedom (6-DOF) for a general (not necessarily symmetric) fixed-wing aircraft. This mathematical…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Osama A. Marzouk

In recent years, MEMS inertial sensors (3D accelerometers and 3D gyroscopes) have become widely available due to their small size and low cost. Inertial sensor measurements are obtained at high sampling rates and can be integrated to obtain…

Robotics · Computer Science 2018-06-12 Manon Kok , Jeroen D. Hol , Thomas B. Schön

Inertial sensors based on micro-electromechanical systems (MEMS) technology, such as accelerometers and angular rate sensors, are cost-effective solutions used in inertial navigation systems in a broad spectrum of applications that estimate…

Robotics · Computer Science 2020-12-09 Hussein Al-Jlailaty , Mohammad M. Mansour

This paper addresses accurate pose estimation (position, velocity, and orientation) for a rigid body using a combination of generic inertial-frame and/or body-frame measurements along with an Inertial Measurement Unit (IMU). By embedding…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Sifeddine Benahmed , Soulaimane Berkane , Tarek Hamel

Inertial-aided systems require continuous motion excitation among other reasons to characterize the measurement biases that will enable accurate integration required for localization frameworks. This paper proposes the use of informative…

Robotics · Computer Science 2022-09-13 Mitchell Usayiwevu , Fouad Sukkar , Chanyeol Yoo , Robert Fitch , Teresa Vidal-Calleja

We study a Visual-Inertial Navigation (VIN) problem in which a robot needs to estimate its state using an on-board camera and an inertial sensor, without any prior knowledge of the external environment. We consider the case in which the…

Robotics · Computer Science 2018-08-03 Luca Carlone , Sertac Karaman

This thesis presents a solution that enables aerial robots to reason about surrounding wind flow fields in real time using on board sensors and embedded flight hardware. The core novelty of this research is the fusion of range measurements…

Robotics · Computer Science 2026-04-02 Spencer Folk

Search-based motion planning algorithms have been widely utilized for unmanned aerial vehicles (UAVs). However, deploying these algorithms on real UAVs faces challenges due to limited onboard computational resources. The algorithms struggle…

Robotics · Computer Science 2024-11-13 Wentao Wang , Yi Shen , Kaiyang Chen , Kaifan Lu

The integral image, an intermediate image representation, has found extensive use in multi-scale local feature detection algorithms, such as Speeded-Up Robust Features (SURF), allowing fast computation of rectangular features at constant…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Shoaib Ehsan , Adrian F. Clark , Naveed ur Rehman , Klaus D. McDonald-Maier

Inertial sensors are widely utilized in smartphones, drones, robots, and IoT devices, playing a crucial role in enabling ubiquitous and reliable localization. Inertial sensor-based positioning is essential in various applications, including…

Robotics · Computer Science 2024-03-22 Changhao Chen , Xianfei Pan

In this article, a tutorial introduction to visual-inertial navigation(VIN) is presented. Visual and inertial perception are two complementary sensing modalities. Cameras and inertial measurement units (IMU) are the corresponding sensors…

Robotics · Computer Science 2023-07-25 Yangyang Ning

In this paper, we propose a new strategy for learning inertial robotic navigation models. The proposed strategy enhances the generalisability of end-to-end inertial modelling, and is aimed at wheeled robotic deployments. Concretely, the…

Machine Learning · Computer Science 2021-09-21 Mohammed Alloulah , Maximilian Arnold , Anton Isopoussu

As air traffic volume is continuously increasing, it has become a priority to improve traffic control algorithms to handle future air travel demand and improve airspace capacity. We address the conflict resolution problem in air traffic…

Optimization and Control · Mathematics 2020-02-18 Fernando H. C. Dias , Stephanie Rahme , David Rey

Accurate global localization is crucial for autonomous navigation and planning. To this end, various GPS-aided Visual-Inertial Odometry (GPS-VIO) fusion algorithms are proposed in the literature. This paper presents a novel GPS-VIO system…

Secure navigation is pivotal for several applications including autonomous vehicles, robotics, and aviation. The inertial navigation system estimates position, velocity, and attitude through dead reckoning especially when external…

Robotics · Computer Science 2024-10-01 Mohammed Aftatah , Khalid Zebbara

Finding matching keypoints between images is a core problem in 3D computer vision. However, modern matchers struggle with large in-plane rotations. A straightforward mitigation is to learn rotation invariance via data augmentation. However,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 David Nordström , Johan Edstedt , Fredrik Kahl , Georg Bökman

This article proposes an inertial navigation algorithm intended to lower the negative consequences of the absence of GNSS (Global Navigation Satellite System) signals on the navigation of autonomous fixed wing low SWaP (Size, Weight, and…

Robotics · Computer Science 2022-05-05 Eduardo Gallo , Antonio Barrientos

A new approach is developed to integrate numerically the equations of motion for systems of interacting rigid polyatomic molecules. With the aid of a leapfrog framework, we directly involve principal angular velocities into the integration,…

Computational Physics · Physics 2007-05-23 Igor P. Omelyan

We first define appropriate state representation and action space, and then design an adjustment mechanism based on the actions selected by the intelligent agent. The adjustment mechanism outputs the next state and reward value of the…

Robotics · Computer Science 2023-07-27 Longcheng Guo