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This paper studies the problem of detection and tracking of general objects with long-term dynamics, observed by a mobile robot moving in a large environment. A key problem is that due to the environment scale, it can only observe a subset…

Robotics · Computer Science 2018-01-31 Nils Bore , Johan Ekekrantz , Patric Jensfelt , John Folkesson

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

Effective tracking of surrounding traffic participants allows for an accurate state estimation as a necessary ingredient for prediction of future behavior and therefore adequate planning of the ego vehicle trajectory. One approach for…

Robotics · Computer Science 2024-06-04 Patrick Palmer , Martin Krüger , Richard Altendorfer , Torsten Bertram

The contraction properties of the Extended Kalman Filter, viewed as a deterministic observer for nonlinear systems, are analyzed. This yields new conditions under which exponential convergence of the state error can be guaranteed. As…

Systems and Control · Computer Science 2012-12-04 Silvere Bonnabel , Jean-Jacques Slotine

This is a draft of summary of multi-model algorithm of extended object tracking based on random matrix (RMF-MM).

Systems and Control · Computer Science 2014-07-01 Borui Li , Chundi Mu , Shuli Han , Tianming Bai

In this work, we propose a new method to track extended targets of different shapes such as ellipses, rectangles and rhombi. We provide an analytical framework to express these shapes as superelliptical contours and propose a Bayesian…

Signal Processing · Electrical Eng. & Systems 2025-02-04 Oğul Can Yurdakul , Mehmet Çetinkaya , Enescan Çelebi , Emre Özkan

Autonomous mobile robot competitions judge based on a robot's ability to quickly and accurately navigate the game field. This means accurate localization is crucial for creating an autonomous competition robot. Two common localization…

Systems and Control · Electrical Eng. & Systems 2023-10-18 Ethan Kou , Acshi Haggenmiller

Many Multi-Object Tracking (MOT) approaches exploit motion information to associate all the detected objects across frames. However, many methods that rely on filtering-based algorithms, such as the Kalman Filter, often work well in linear…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Xudong Han , Nobuyuki Oishi , Yueying Tian , Elif Ucurum , Rupert Young , Chris Chatwin , Philip Birch

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…

System identification based on Koopman operator theory has grown in popularity recently. Spectral properties of the Koopman operator of a system were proven to relate to properties like invariant sets, stability, periodicity, etc. of the…

Optimization and Control · Mathematics 2021-10-27 Nibodh Boddupalli

This article examines state estimation in discrete-time nonlinear stochastic systems with finite-dimensional states and infinite-dimensional measurements, motivated by real-world applications such as vision-based localization and tracking.…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Maxwell M. Varley , Timothy L. Molloy , Girish N. Nair

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

This paper presents a new algorithm to track mobile objects in different scene conditions. The main idea of the proposed tracker includes estimation, multi-features similarity measures and trajectory filtering. A feature set (distance,…

Computer Vision and Pattern Recognition · Computer Science 2011-06-15 Duc Phu Chau , François Bremond , Monique Thonnat , Etienne Corvee

The problem of multisensor multitarget state estimation in the presence of constant but unknown sensor biases is investigated. The classical approach to this problem is to augment the state vector to include the states of all the targets…

Signal Processing · Electrical Eng. & Systems 2019-10-16 Jianxin Yi , Xianrong Wan , Deshi Li

Ordinary Differential Equations are a simple but powerful framework for modeling complex systems. Parameter estimation from times series can be done by Nonlinear Least Squares (or other classical approaches), but this can give…

Methodology · Statistics 2014-10-29 Quentin Clairon , Nicolas Brunel

When tracking a target particle that is interacting with nearest neighbors in a known way, positional data of the neighbors can be used to improve the state estimate. Effects of the accuracy of such positional data on the target track…

Plasma Physics · Physics 2011-12-19 Neil P. Oxtoby , Jason F. Ralph , Dmitry Samsonov , Céline Durniak

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

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

To determine the 3D orientation and 3D location of objects in the surroundings of a camera mounted on a robot or mobile device, we developed two powerful algorithms in object detection and temporal tracking that are combined seamlessly for…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 David Joseph Tan , Nassir Navab , Federico Tombari

Common filters are usually based on the linear approximation of the optimal minimum mean square error estimator. The Extended and Unscented Kalman Filters handle nonlinearity through linearization and unscented transformation, respectively,…

Information Theory · Computer Science 2025-06-09 Simone Servadio , Chiran Cherian