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PHD filtering is a common and effective multiple object tracking (MOT) algorithm used in scenarios where the number of objects and their states are unknown. In scenarios where each object can generate multiple measurements per scan, some…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Jakob Sjudin , Martin Marcusson , Lennart Svensson , Lars Hammarstrand

Accurate estimation and prediction of trajectory is essential for the capture of any high speed target. In this paper, an extended Kalman filter (EKF) is used to track the target in the first loop of the trajectory to collect data points…

The extended Kalman filter is perhaps the most standard tool to estimate in real time the state of a dynamical system from noisy measurements of some function of the system, with extensive practical applications (such as position tracking…

Optimization and Control · Mathematics 2019-01-04 Yann Ollivier

In this paper, a distributed dual-quaternion multiplicative extended Kalman filter for the estimation of poses and velocities of individual satellites in a fleet of spacecraft is analyzed. The proposed algorithm uses both absolute and…

Optimization and Control · Mathematics 2024-12-02 Mathias Hudoba de Badyn , Jonas Binz , Andrea Iannelli , Roy S. Smith

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

Estimating parameters of a diffusion process given continuous-time observations of the process via maximum likelihood approaches or, online, via stochastic gradient descent or Kalman filter formulations constitutes a well-established…

Methodology · Statistics 2025-03-17 Jan Albrecht , Sebastian Reich

Many interventional surgical procedures rely on medical imaging to visualise and track instruments. Such imaging methods not only need to be real-time capable, but also provide accurate and robust positional information. In ultrasound…

This paper is concerned with the problem of distributed extended object tracking, which aims to collaboratively estimate the state and extension of an object by a network of nodes. In traditional tracking applications, most approaches…

Systems and Control · Computer Science 2019-03-04 Junhao Hua , Chunguang Li

This paper illustrates the way for estimating position and orientation of a vehicle with an Extended Kalman Filter (EKF). For this purpose a non-linear model is designed and an adaptive calculation of measurement noise covariance matrix is…

Systems and Control · Electrical Eng. & Systems 2021-08-26 Reiner Marchthaler

We present a new online approach to track human whole-body motion from motion capture data, i.e., positions of labeled markers attached to the human body. Tracking in noisy data can be effectively performed with the aid of well-established…

Systems and Control · Computer Science 2015-11-16 Jannik Steinbring , Christian Mandery , Nikolaus Vahrenkamp , Tamim Asfour , Uwe D. Hanebeck

Recent detector concepts at future linear or circular $e^- e^+$ colliders emphasize the benefits of time-of-flight measurements for particle identification of long-lived charged hadrons. That method relies on a precise estimation of the…

Instrumentation and Detectors · Physics 2021-09-16 Winfried A. Mitaroff

A generalisation of the extended Kalman filter for Stiefel manifold-valued measurements is presented. We provide simulations on the 2-sphere and the space of orthogonal 4-by-2 matrices which show significant improvement of the Extended…

Applications · Statistics 2025-11-05 Jordi-Lluís Figueras , Aron Persson , Lauri Viitasaari

When determining the parameters of a parametric planar shape based on a single low-resolution image, common estimation paradigms lead to inaccurate parameter estimates. The reason behind poor estimation results is that standard estimation…

Computer Vision and Pattern Recognition · Computer Science 2019-01-30 Wojciech Chojnacki , Zygmunt L. Szpak

This paper considers the use of two position receivers and an inertial measurement unit (IMU) to estimate the position, velocity, and attitude of a rigid body, collectively called extended pose. The measurement model consisting of the…

Robotics · Computer Science 2021-05-03 Natalia Pavlasek , Alex Walsh , James Richard Forbes

In real-world applications the Perspective-n-Point (PnP) problem should generally be applied in a sequence of images which a set of drift-prone features are tracked over time. In this paper, we consider both the temporal dependency of…

Computer Vision and Pattern Recognition · Computer Science 2020-04-23 Mohammad Amin Mehralian , Mohsen Soryani

This paper proposes an Extended-Kalman-Filter-like observer for parameter estimation during synchronization of chaotic systems. The exponential stability of the observer is guaranteed by a persistent excitation condition. This approach is…

Chaotic Dynamics · Physics 2017-06-21 L. Torres

A commonly encountered problem is the tracking of a physical object, like a maneuvering ship, aircraft, land vehicle, spacecraft or animate creature carrying a wireless device. The sensor data is often limited and inaccurate observations of…

Systems and Control · Computer Science 2015-03-02 Kevin Judd

This note is devoted to deriving the measurement update of the geometric extended Kalman filter using the multiplicative extended Kalman filtering approach, resulting in the attitude estimator referred as geometric multiplicative extended…

Robotics · Computer Science 2017-10-12 Lubin Chang

State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

Numerical Analysis · Mathematics 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

Parametric filters, such as the Extended Kalman Filter and the Unscented Kalman Filter, typically scale well with the dimensionality of the problem, but they are known to fail if the posterior state distribution cannot be closely…

Robotics · Computer Science 2016-07-25 Manuel Wüthrich , Jeannette Bohg , Daniel Kappler , Claudia Pfreundt , Stefan Schaal