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Relative pose (position and orientation) estimation is an essential component of many robotics applications. Fiducial markers, such as the AprilTag visual fiducial system, yield a relative pose measurement from a single marker detection and…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Nicholas B. Andrews , Kristi A. Morgansen

In this paper we consider the localization problem for a visual sensor network. Inspired by the alternate attitude and position distributed optimization framework discussed in [1], we propose an estimation scheme that exploits the unit dual…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Luca Varotto , Marco Fabris , Giulia Michieletto , Angelo Cenedese

This paper formulates the pose estimation problem as nonlinear stochastic filter kinematics evolved directly on the Special Euclidean Group SE(3). Proposed filter guarantees that the errors present in position and Rodriguez vector estimates…

Systems and Control · Computer Science 2019-04-30 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

Time-varying, smooth trajectory estimation is of great interest to the vision community for accurate and well behaving 3D systems. In this paper, we propose a novel principal component local regression filter acting directly on the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-30 Benjamin Busam , Tolga Birdal , Nassir Navab

The perspective-$n$-point (P$n$P) problem is important for robotic pose estimation. It is well studied for optical cameras, but research is lacking for 2D forward-looking sonar (FLS) in underwater scenarios due to the vastly different…

Robotics · Computer Science 2025-04-11 Jiayi Su , Jingyu Qian , Liuqing Yang , Yufan Yuan , Yanbing Fu , Jie Wu , Yan Wei , Fengzhong Qu

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

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

The Koopman operator approach to the state estimation problem for nonlinear systems is a promising research area. The main goal of this paper is an attempt to provide a rigorous theoretical framework for this approach. In particular, the…

Optimization and Control · Mathematics 2025-03-12 Judicaël Mohet , Alexandre Mauroy , Joseph J. Winkin

This paper proposes two novel nonlinear attitude filters evolved directly on the Special Orthogonal Group SO(3) able to ensure prescribed measures of transient and steady-state performance. The tracking performance of the normalized…

Optimization and Control · Mathematics 2019-01-24 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

This paper addresses the problem of Visual-Inertial Odometry (VIO) for rigid body systems evolving in three-dimensional space. We introduce a novel matrix Lie group structure, denoted SE_{3+n}(3), that unifies the pose, gravity, linear…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Mouaad Boughellaba , Abdelhamid Tayebi , James R. Forbes , Soulaimane Berkane

This paper deals with the simultaneous estimation of the attitude, position and linear velocity for vision-aided inertial navigation systems. We propose a nonlinear observer on $SO(3)\times \mathbb{R}^{15}$ relying on body-frame…

Optimization and Control · Mathematics 2021-06-08 Miaomiao Wang , Soulaimane Berkane , Abdelhamid Tayebi

It is common in pose graph optimization (PGO) algorithms to assume that noise in the translations and rotations of relative pose measurements is uncorrelated. However, existing work shows that in practice these measurements can be highly…

Optimization and Control · Mathematics 2025-07-01 William D. Warke , J. Humberto Ramos , Prashant Ganesh , Kevin M. Brink , Matthew T. Hale

This paper presents solutions to the following two common quaternion attitude estimation problems: (i) estimation of attitude using measurement of two reference vectors, and (ii) estimation of attitude using rate measurement and measurement…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Yujendra Mitikiri , Kamran Mohseni

This paper presents a novel nonlinear pose filter evolved directly on the Special Euclidean Group SE(3) with guaranteed characteristics of transient and steady-state performance. The above-mention characteristics can be achieved by trapping…

Optimization and Control · Mathematics 2020-02-14 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

Two novel nonlinear pose (i.e, attitude and position) filters developed directly on the Special Euclidean Group SE(3)able to guarantee prescribed characteristics of transient and steady-state performance are proposed. The position error and…

Optimization and Control · Mathematics 2021-04-15 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

Two nonlinear stochastic complimentary filters are developed on SO(3). They guarantee that errors in the Rodriguez vector and estimates are semi-globally uniformly ultimately bounded in mean square, and they converge to a small neighborhood…

Optimization and Control · Mathematics 2020-05-26 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

We present a novel solution to the camera pose estimation problem, where rotation and translation of a camera between two views are estimated from matched feature points in the images. The camera pose estimation problem is traditionally…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Kaveh Fathian , J. Pablo Ramirez-Paredes , Emily A. Doucette , J. Willard Curtis , Nicholas R. Gans

Two novel robust nonlinear stochastic full pose (i.e, attitude and position) estimators on the Special Euclidean Group SE(3) are proposed using the available uncertain measurements. The resulting estimators utilize the basic structure of…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Hashim A Hashim , Frank L Lewis

This paper introduces the ensemble directional Kalman filter (EnDKF), an ensemble-based Kalman filtering approach for pose tracking that jointly estimates an object's position and attitude using ideas from directional statistics. The EnDKF…

Machine Learning · Computer Science 2026-05-06 Tianlu Lu , Asif Sijan , Thomas Noh , Huaijin Chen , Andrey A. Popov

This paper presents theory, application, and comparisons of the feedback particle filter (FPF) algorithm for the problem of attitude estimation. The paper builds upon our recent work on the exact FPF solution of the continuous-time…

Optimization and Control · Mathematics 2016-04-06 Chi Zhang , Amirhossein Taghvaei , Prashant G. Mehta
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