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Related papers: Rigid Body Pose Estimation based on the Lagrange-d…

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The existing attitude controllers (without angular velocity measurements) involve explicitly the orientation (\textit{e.g.,} the unit-quaternion) in the feedback. Unfortunately, there does not exist any sensor that directly measures the…

Optimization and Control · Mathematics 2012-03-08 A. Tayebi , A. Roberts , A. Benallegue

This paper is dedicated to the investigation of the asymptotic behavior of a delayed wave equation without the presence of any position term. First, it is shown that the problem is well-posed in the sense of semigroups theory. Thereafter,…

Analysis of PDEs · Mathematics 2017-10-11 Kaïs Ammari , Boumediène Chentouf

This paper studies nonlinear observer design for rigid-body extended pose estimation using inertial measurements and generic exteroceptive sensing. The estimation problem is formulated as a cascade architecture that separates translational…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Sifeddine Benahmed , Tarek Hamel , Soulaimane Berkane

Within the framework of Lagrangian mechanics, the conservativeness of the hydrostatic forces acting on a floating rigid body is proved. The representation of the associated hydrostatic potential is explicitly worked out. The invariance of…

Mathematical Physics · Physics 2018-03-08 Enrico Massa , Stefano Vignolo

Given 2D point correspondences between an image pair, inferring the camera motion is a fundamental issue in the computer vision community. The existing works generally set out from the epipolar constraint and estimate the essential matrix,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Guangyang Zeng , Qingcheng Zeng , Xinghan Li , Biqiang Mu , Jiming Chen , Ling Shi , Junfeng Wu

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

Rigid motion computation or estimation is a cornerstone in numerous fields. Attitude computation can be achieved by integrating the angular velocity measured by gyroscopes, the accuracy of which is crucially important for the dead-reckoning…

Systems and Control · Computer Science 2019-01-15 Yuanxin Wu

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 work presents a finite-time stable pose estimator (FTS-PE) for rigid bodies undergoing rotational and translational motion in three dimensions, using measurements from onboard sensors that provide position vectors to inertially-fixed…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Nazanin S. Hashkavaei , Abhijit Dongare , Neon Srinivasu , Amit K. Sanyal

This paper proposes new algorithms for attitude estimation and control based on fused inertial vector measurements using linear complementary filters principle. First, n-order direct and passive complementary filters combined with TRIAD…

Optimization and Control · Mathematics 2015-03-11 L. Benziane , A. El Hadri , A. Seba , A. Benallegue , Y. Chitour

Object pose estimation is an integral part of robot vision and AR. Previous 6D pose retrieval pipelines treat the problem either as a regression task or discretize the pose space to classify. We change this paradigm and reformulate the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-02 Benjamin Busam , Hyun Jun Jung , Nassir Navab

While 3D object detection and pose estimation has been studied for a long time, its evaluation is not yet completely satisfactory. Indeed, existing datasets typically consist in numerous acquisitions of only a few scenes because of the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-22 Romain Brégier , Frédéric Devernay , Laetitia Leyrit , James Crowley

An elliptic relative equilibrium (ERE) is a special solution of the planar $N$-body problem generated by a central configuration. Its linear stability depends on the eccentricity $e$ and the masses of the bodies. However, for $e>0$, the…

Dynamical Systems · Mathematics 2025-09-15 Xijun Hu , Yuwei Ou , Jiexin Sun

A variational principle is proposed for obtaining the Jacobi equations in systems admitting a Lagrangian description. The variational principle gives simultaneously the Lagrange equations of motion and the Jacobi variational equations for…

Mathematical Physics · Physics 2009-10-31 H. N. Núñez-Yépez , A. L. Salas-Brito

Controlled Lagrangian and matching techniques are developed for the stabilization of relative equilibria and equilibria of discrete mechanical systems with symmetry as well as broken symmetry. Interesting new phenomena arise in the…

Optimization and Control · Mathematics 2007-05-23 Anthony M. Bloch , Melvin Leok , Jerrold E. Marsden , Dmitry V. Zenkov

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

A general framework for performing event-driven simulations of systems with semi-flexible or rigid bodies interacting under impulsive torques and forces is outlined. Two different approaches are presented. In the first, the dynamics and…

Statistical Mechanics · Physics 2007-05-23 Lisandro Hernandez de la Pena , Ramses van Zon , Jeremy Schofield , Sheldon B. Opps

Deep Learning (DL) has become essential in various robotics applications due to excelling at processing raw sensory data to extract task specific information from semantic objects. For example, vision-based object-relative navigation relies…

Robotics · Computer Science 2025-09-03 Thomas Jantos , Stephan Weiss , Jan Steinbrener

3-D pose estimation of instruments is a crucial step towards automatic scene understanding in robotic minimally invasive surgery. Although robotic systems can potentially directly provide joint values, this information is not commonly…

Robotics · Computer Science 2021-03-02 Luca Sestini , Benoit Rosa , Elena De Momi , Giancarlo Ferrigno , Nicolas Padoy

Pose estimation is a widely explored problem, enabling many robotic tasks such as grasping and manipulation. In this paper, we tackle the problem of pose estimation for objects that exhibit rotational symmetry, which are common in man-made…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Enric Corona , Kaustav Kundu , Sanja Fidler