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In this paper, we develop the mathematical framework for filtering problems arising from biophysical applications where data is collected from confocal laser scanning microscopy recordings of the space-time evolution of intracellular wave…

Statistics Theory · Mathematics 2025-06-10 Jan Szalankiewicz , Cristina Martinez-Torres , Wilhelm Stannat

Line features are valid complements for point features in man-made environments. 3D-2D constraints provided by line features have been widely used in Visual Odometry (VO) and Structure-from-Motion (SfM) systems. However, how to accurately…

Robotics · Computer Science 2025-01-14 Zewen Xu , Yijia He , Hao Wei , Bo Xu , BinJian Xie , Yihong Wu

This paper focuses on a stochastic formulation of Bayesian attitude estimation on the special orthogonal group. In particular, an exponential probability density model for random matrices, referred to as the matrix Fisher distribution is…

Optimization and Control · Mathematics 2020-05-04 Taeyoung Lee

The extended and unscented Kalman filter, and the particle filter provide a robust framework for fault-tolerant attitude estimation on spacecraft. This paper explores how each filter performs for a large satellite in a low earth orbit.…

Robotics · Computer Science 2025-06-27 B. Chidambaram , A. Hilbert , M. Silva

Nonlinear observer design for systems whose state space evolves on Lie groups is considered. The proposed method is similar to previously developed nonlinear observers in that it involves propagating the state estimate using a process model…

Systems and Control · Computer Science 2018-04-10 David Evan Zlotnik , James Richard Forbes

The paper proposes a technique to estimate the angular velocity of a rigid body from vector measurements. Compared to the approaches presented in the literature, it does not use attitude information nor rate gyros as inputs. Instead, vector…

Dynamical Systems · Mathematics 2015-03-11 Lionel Magnis , Nicolas Petit

Integration of inertial navigation system (INS) and global navigation satellite system (GNSS) is usually implemented in engineering applications by way of Kalman-like filtering. This form of INS/GNSS integration is prone to attitude…

Robotics · Computer Science 2014-04-29 Yuanxin Wu , Jinling Wang , Dewen Hu

Semi-Global Exponential Stability (SGES) is proved for the combined attitude and position rigid body motion tracking problem, which was previously only known to be asymptotically stable. Dual quaternions are used to jointly represent the…

Systems and Control · Electrical Eng. & Systems 2024-01-02 Vrushabh Zinage , S P Arjun Ram , Maruthi R. Akella , Efstathios Bakolas

Inertial navigation computation is to acquire the attitude, velocity and position information of a moving body by integrating inertial measurements from gyroscopes and accelerometers. Over half a century has witnessed great efforts in…

Robotics · Computer Science 2021-09-21 Yuanxin Wu

Inertial-sensor-based attitude estimation is a crucial technology in various applications, from human motion tracking to autonomous aerial and ground vehicles. Application scenarios differ in characteristics of the performed motion,…

Machine Learning · Computer Science 2021-11-29 Daniel Weber , Clemens Gühmann , Thomas Seel

Inertial motion capture systems widely use low-cost IMUs to obtain the orientation of human body segments, but these sensors alone are unable to estimate link positions. Therefore, this research used a SLAM method in conjunction with…

Robotics · Computer Science 2024-02-16 Mohammad Mahdi Azarbeik , Hamidreza Razavi , Kaveh Merat , Hassan Salarieh

We analyze and experimentally compare various rotational error metrics for use in quadrotor controllers. Traditional quadrotor attitude controllers have used Euler angles or the full rotation to compute an attitude error and scale that to…

Robotics · Computer Science 2020-11-25 Alexander Spitzer , Nathan Michael

Robust and accurate scale estimation of a target object is a challenging task in visual object tracking. Most existing tracking methods cannot accommodate large scale variation in complex image sequences and thus result in inferior…

Image and Video Processing · Electrical Eng. & Systems 2024-10-30 Haoyi Ma , Scott T. Acton , Zongli Lin

We begin with a scenario that involves point-like observers starting at t=0 from the origin O of an inertial reference frame. They move with all possible proper accelerations in the positive direction of the OX axis. Equipped with light…

General Physics · Physics 2008-12-02 Bernhard Rothenstein , Stefan Popescu

This paper is focused on probabilistic estimation for the attitude dynamics of a rigid body on the special orthogonal group. We select the matrix Fisher distribution to represent the uncertainties of attitude estimates and measurements in a…

Optimization and Control · Mathematics 2016-02-11 Taeyoung Lee

Deformable parts models show a great potential in tracking by principally addressing non-rigid object deformations and self occlusions, but according to recent benchmarks, they often lag behind the holistic approaches. The reason is that…

Computer Vision and Pattern Recognition · Computer Science 2016-05-13 Alan Lukežič , Luka Čehovin , Matej Kristan

We propose a novel performance metric for articulated robots with distributed directional sensors called the sensor observability analysis (SOA). These robot-mounted distributed directional sensors (e.g., joint torque sensors) change their…

Robotics · Computer Science 2024-05-31 Christopher Yee Wong , Wael Suleiman

In this paper, we use known camera motion associated to a video sequence of a static scene in order to estimate and incrementally refine the surrounding depth field. We exploit the SO(3)-invariance of brightness and depth fields dynamics to…

Optimization and Control · Mathematics 2015-03-19 Nadege Zarrouati , Emanuel Aldea , Pierre Rouchon

This letter presents a novel control solution to the robust global position and heading tracking problem for underactuated vehicles, equipped with single-axis thrust and full torque actuation, operating under strict, user-defined actuation…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Luís Martins , Carlos Cardeira , Paulo Oliveira

We present a new mathematical framework for incorporating partial coherence effects into wave optics simulations through a comprehensive surface-to-detector approach. Unlike traditional ensemble averaging methods, our dual-component…

Optics · Physics 2025-05-26 Netzer Moriya
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