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In this article, we propose a new filtering algorithm based in the Koopman operator, showing that a nonlinear filtering problem can be seen as an equivalent problem where the dynamics is infinite dimensional, but linear. Using Extended…

Dynamical Systems · Mathematics 2025-11-07 Diego Olguín , Axel Osses , Héctor Ramírez

Extended Kalman Filter (EKF) has been a popular approach to localization a mobile robot. However, the performance of the EKF and the quality of the estimation depends on the correct a priori knowledge of process and measurement noise…

Other Computer Science · Computer Science 2010-04-20 Ramazan Havangi , Mohammad Ali Nekoui , Mohammad Teshnehlab

The kinematics of many systems encountered in robotics, mechatronics, and avionics are naturally posed on homogeneous spaces; that is, their state lies in a smooth manifold equipped with a transitive Lie group symmetry. This paper proposes…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Pieter van Goor , Tarek Hamel , Robert Mahony

Automatic lane tracking involves estimating the underlying signal from a sequence of noisy signal observations. Many models and methods have been proposed for lane tracking, and dynamic targets tracking in general. The Kalman Filter is a…

Computer Vision and Pattern Recognition · Computer Science 2017-06-29 Jiawei Huang , Zhaowen Wang

This paper introduces a framework based on linear splines for 2-dimensional extended object tracking and classification. Unlike state of the art models, linear splines allow to represent extended objects whose contour is an arbitrarily…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Matteo Tesori , Giorgio Battistelli , Luigi Chisci

Collaborative Localisation has been studied extensively in recent years as a way to improve pose estimation of unmanned aerial vehicles in challenging environments. However little attention has been paid toward advancing the underlying…

Robotics · Computer Science 2021-04-14 Jack Henderson , Mohammad Zamani , Robert Mahony , Jochen Trumpf

In this work, we present an aided inertial navigation system for an autonomous underwater vehicle (AUV) using an unscented Kalman filter on manifolds (UKF-M). The inertial navigation estimate is aided by a Doppler velocity log (DVL), depth…

Robotics · Computer Science 2022-10-14 Stephen T. Krauss , Daniel J. Stilwell

Inertial Navigation Systems (INS) are algorithms that fuse inertial measurements of angular velocity and specific acceleration with supplementary sensors including GNSS and magnetometers to estimate the position, velocity and attitude, or…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Pieter van Goor , Tarek Hamel , Robert Mahony

We propose a deep convolutional object detector for automated driving applications that also estimates classification, pose and shape uncertainty of each detected object. The input consists of a multi-layer grid map which is well-suited for…

Robotics · Computer Science 2019-02-01 Sascha Wirges , Marcel Reith-Braun , Martin Lauer , Christoph Stiller

Global Positioning System (GPS) navigation provides accurate positioning with global coverage, making it a reliable option in open areas with unobstructed sky views. However, signal degradation may occur in indoor spaces and urban canyons.…

Systems and Control · Electrical Eng. & Systems 2024-05-15 Simegnew Yihunie Alaba

This paper presents a novel method for pedestrian detection and tracking by fusing camera and LiDAR sensor data. To deal with the challenges associated with the autonomous driving scenarios, an integrated tracking and detection framework is…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Muhammad Mobaidul Islam , Abdullah Al Redwan Newaz , Ali Karimoddini

Autonomous vehicles have gained significant attention due to technological advancements and their potential to transform transportation. A critical challenge in this domain is precise localization, particularly in LiDAR-based map matching,…

Robotics · Computer Science 2025-01-07 Minoo Dolatabadi , Fardin Ayar , Ehsan Javanmardi , Manabu Tsukada , Mahdi Javanmardi

This paper presents an adaptive learning method for data fusion in autonomous driving vehicles. The localization is based on the integration of Inertial Measurement Unit (IMU) with two Real-Time Kinematic (RTK) Global Positioning System…

Systems and Control · Electrical Eng. & Systems 2022-08-25 Farhad Aghili

State estimation in control and systems engineering traditionally requires extensive manual system identification or data-collection effort. However, transformer-based foundation models in other domains have reduced data requirements by…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Tobin Holtmann , David Stenger , Andres Posada-Moreno , Friedrich Solowjow , Sebastian Trimpe

Target detection and tracking provides crucial information for motion planning and decision making in autonomous driving. This paper proposes an online multi-object tracking (MOT) framework with tracking-by-detection for maneuvering…

Robotics · Computer Science 2019-12-03 Zehui Meng , Qi Heng Ho , Zefan Huang , Hongliang Guo , Marcelo H. Ang , Daniela Rus

Autonomous surface vessels (ASVs) are increasingly vital for marine science, offering robust platforms for underwater mapping and inspection. Accurate state estimation, particularly of vehicle pose, is paramount for precise seafloor…

Robotics · Computer Science 2025-06-13 Derek Benham , Easton Potokar , Joshua G. Mangelson

This paper introduces a framework for state estimation on a humanoid robot platform using only common proprioceptive sensors and knowledge of leg kinematics. The presented approach extends that detailed in [1] on a quadruped platform by…

Robotics · Computer Science 2014-12-11 Nicholas Rotella , Michael Bloesch , Ludovic Righetti , Stefan Schaal

In the realm of computer vision and graphics, accurately establishing correspondences between geometric 3D shapes is pivotal for applications like object tracking, registration, texture transfer, and statistical shape analysis. Moving…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Tung Le , Khai Nguyen , Shanlin Sun , Nhat Ho , Xiaohui Xie

Several variations of the Kalman filter algorithm, such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are widely used in science and engineering applications. In this paper, we introduce two algorithms of…

Optimization and Control · Mathematics 2018-10-11 Wei Kang , Liang Xu

Kalman Filters (KF) are fundamental to real-time state estimation applications, including radar-based tracking systems used in modern driver assistance and safety technologies. In a linear dynamical system with Gaussian noise distributions…

Robotics · Computer Science 2024-11-27 Arian Mehrfard , Bharanidhar Duraisamy , Stefan Haag , Florian Geiss