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The goal of target tracking is to estimate target position, velocity, and acceleration in real time using position data. This paper introduces a novel target-tracking technique that uses adaptive input and state estimation (AISE) for…

Systems and Control · Electrical Eng. & Systems 2025-01-09 Shashank Verma , Dennis S. Bernstein

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

A robust visual tracking system requires an object appearance model that is able to handle occlusion, pose, and illumination variations in the video stream. This can be difficult to accomplish when the model is trained using only a single…

Computer Vision and Pattern Recognition · Computer Science 2014-08-27 Sareh Shirazi , Mehrtash T. Harandi , Brian C. Lovell , Conrad Sanderson

This paper addresses the challenge of probabilistic parameter estimation given measurement uncertainty in real-time. We provide a general formulation and apply this to pose estimation for an autonomous visual landing system. We present…

In order to manipulate a deformable object, such as rope or cloth, in unstructured environments, robots need a way to estimate its current shape. However, tracking the shape of a deformable object can be challenging because of the object's…

Robotics · Computer Science 2020-11-03 Yixuan Wang , Dale McConachie , Dmitry Berenson

Object tracking is an essential task for autonomous systems. With the advancement of 3D sensors, these systems can better perceive their surroundings using effective 3D Extended Object Tracking (EOT) methods. Based on the observation that…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Longfei Han , Klaus Kefferpütz , Jürgen Beyerer

Nonlinear filtering problems are encountered in many applications, and one solution approach is the extended Kalman filter, which is not always convergent. Therefore, it is crucial to identify conditions under which the extended Kalman…

Probability · Mathematics 2026-03-24 Ibrahim Mbouandi Njiasse , Florent Ouabo Kamkumo , Ralf Wunderlich

In this paper, we derive an asymptotic error expansion for the eigenvalue approximations by the lowest order Raviart-Thomas mixed finite element method for the general second order elliptic eigenvalue problems. Extrapolation based on such…

Numerical Analysis · Mathematics 2011-01-11 Hehu Xie

The extended Kalman filter (EKF) is a common state estimation method for discrete nonlinear systems. It recursively executes the propagation step as time goes by and the update step when a set of measurements arrives. In the update step,…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Jianzhu Huai , Xiang Gao

The problem of fitting concentric ellipses is a vital problem in image processing, pattern recognition, and astronomy. Several methods have been developed but all address very special cases. In this paper, this problem has been investigated…

Computation · Statistics 2024-02-16 Ali Al-Sharadqah , Giulano Piga

This paper proposes a new extrinsic calibration of kaleidoscopic imaging system by estimating normals and distances of the mirrors. The problem to be solved in this paper is a simultaneous estimation of all mirror parameters consistent…

Computer Vision and Pattern Recognition · Computer Science 2017-05-30 Kosuke Takahashi , Akihiro Miyata , Shohei Nobuhara , Takashi Matsuyama

We focus on the analysis of planar shapes and solid objects having thin features and propose a new mathematical model to characterize them. Based on our model, that we call an epsilon-shape, we show how thin parts can be effectively and…

Computational Geometry · Computer Science 2018-01-09 Daniela Cabiddu , Marco Attene

Acquiring the accurate 3-D position of a target person around a robot provides fundamental and valuable information that is applicable to a wide range of robotic tasks, including home service, navigation and entertainment. This paper…

Robotics · Computer Science 2017-03-16 Mengmeng Wang , Daobilige Su , Lei Shi , Yong Liu , Jaime Valls Miro

Researchers collecting intensive longitudinal data (ILD) are increasingly looking to model psychological processes, such as emotional dynamics, that organize and adapt across time in complex and meaningful ways. This is also the case for…

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

Traditional tracking-by-detection systems typically employ Kalman filters (KF) for state estimation. However, the KF requires domain-specific design choices and it is ill-suited to handling non-linear motion patterns. To address these…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Momir Adžemović , Predrag Tadić , Andrija Petrović , Mladen Nikolić

Many robotic sensor estimation problems can characterized in terms of nonlinear measurement systems. These systems are contaminated with noise and may be underdetermined from a single observation. In order to get reliable estimation…

Systems and Control · Computer Science 2013-04-11 Greg Hager , Max Mintz

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

Extended target/object tracking (ETT) problem involves tracking objects which potentially generate multiple measurements at a single sensor scan. State-of-the-art ETT algorithms can efficiently exploit the available information in these…

Signal Processing · Electrical Eng. & Systems 2020-02-14 Barkın Tuncer , Murat Kumru , Emre Özkan

An important part of system modeling is determining parameter values, particularly for biomolecular systems, where direct measurements of individual parameters are typically hard. While Extended Kalman Filters have been used for this…

Quantitative Methods · Quantitative Biology 2018-11-13 Abhishek Dey , Kushal Chakrabarti , Krishan Kumar Gola , Shaunak Sen
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