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In this technical note, we generalize the well-known Lyapunov-based stabilizability and detectability tests for linear time-invariant (LTI) systems to the context of discrete-time (DT) polytopic linear parameter-varying (LPV) systems. To do…

Optimization and Control · Mathematics 2023-03-21 T. J. Meijer , V. S. Dolk , W. P. M. H. Heemels

A unified expression for topological invariants has been proposed recently to describe the topological order in Dirac models belonging to any dimension and symmetry class. We uncover a correspondence between the curvature function that…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Gero von Gersdorff , Wei Chen

Relativistic length contraction is revisited and a simple but new thought experiment is proposed in which an apparent asymmetric situation is developed between two different inertial frames regarding detection of light that comes from a…

Classical Physics · Physics 2021-11-02 Biplab Raychaudhuri , Souvik Ghose , Arunabha Bhadra

The proof of Theorem 11 of the paper M. Scheepers, Remarks on countable tightness, Topology and its Applications 161 (2014), 407 - 432 relies on Lemma 10 of that paper. The offered proof of Lemma 10 had shortcomings, and I was recently…

General Topology · Mathematics 2015-10-01 Marion Scheepers

We present a new set of accurate formulae for the computation of random errors in the measurement of atomic and molecular indices. The new expressions are in excellent agreement with numerical simulations. We have found that, in some cases,…

Astrophysics · Physics 2009-10-30 N. Cardiel , J. Gorgas , J. Cenarro , J. J. Gonzalez

A distributed pose localization framework based on direction measurements is proposed for a type of \textit{leader-follower} multi-agent systems in $\mathbb{R}^3$. The novelty of the proposed localization method lies in the elimination of…

Optimization and Control · Mathematics 2022-02-11 Quoc Van Tran , Brian D. O. Anderson , Hyo-Sung Ahn

The K correction "corrects" for the fact that sources observed at different redshifts are, in general, compared with standards or each other at different rest-frame wavelengths. It is part of the relation between the emitted- or rest-frame…

Astrophysics · Physics 2007-05-23 David W. Hogg , Ivan K. Baldry , Michael R. Blanton , Daniel J. Eisenstein

Cooperative perception is a promising technique for intelligent and connected vehicles through vehicle-to-everything (V2X) cooperation, provided that accurate pose information and relative pose transforms are available. Nevertheless,…

Robotics · Computer Science 2024-02-23 Zhiying Song , Tenghui Xie , Hailiang Zhang , Jiaxin Liu , Fuxi Wen , Jun Li

The problem of rigid body pose estimation is treated in discrete-time via discrete Lagrange-d'Alembert principle and discrete Lyapunov methods. The position and attitude of the rigid body are to be estimated simultaneously with the help of…

Optimization and Control · Mathematics 2022-09-28 Maulik Bhatt , Srikant Sukumar , Amit K Sanyal

Many modern wireless devices with accurate positioning needs also have access to vision sensors, such as a camera, radar, and Light Detection and Ranging (LiDAR). In scenarios where wireless-based positioning is either inaccurate or…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Haozhou Hu , Harpreet S. Dhillon , R. Michael Buehrer

Traditional visible light positioning (VLP) systems estimate receivers' coordinates based on the known light-emitting diode (LED) coordinates. However, the LED coordinates are not always known accurately. Because of the structural changes…

Signal Processing · Electrical Eng. & Systems 2021-09-10 Kehan Zhang , Zaichen Zhang , Bingcheng Zhu

We correct some oversights in the paper "A spectral sequence for stratified spaces and configuration spaces of points" by the second named author. In particular we explain that an additional hypothesis should be added to Theorem 4.15 in…

Algebraic Topology · Mathematics 2021-10-05 Nir Gadish , Dan Petersen

We present a novel method for extrinsically calibrating a camera and a 2D Laser Rangefinder (LRF) whose beams are invisible from the camera image. We show that point-to-plane constraints from a single observation of a V-shaped calibration…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Wenbo Dong , Volkan Isler

Virtual try-on and product personalization have become increasingly important in modern online shopping, highlighting the need for accurate body measurement estimation. Although previous research has advanced in estimating 3D body shapes…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Yafei Mao , Xuelu Li , Brandon Smith , Jinjin Li , Raja Bala

Accurately estimating camera motion from image sequences poses a significant challenge in computer vision and robotics. Many computer vision methods first compute the essential matrix associated with a motion and then extract orientation…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Tarek Bouazza , Robert Mahony , Tarek Hamel

Precise localization is a core ability of an autonomous vehicle. It is a prerequisite for motion planning and execution. The well-established localization approaches such as Kalman and particle filters require a probabilistic observation…

Robotics · Computer Science 2020-03-02 Oleg Shipitko , Vladislav Kibalov , Maxim Abramov

Visual odometry is a widely used technique in the field of robotics and automation to keep a track on the location of a robot using visual cues alone. In this paper, we propose a joint forward backward visual odometry framework by combining…

Robotics · Computer Science 2020-02-03 Raghav Sardana , Rahul Kottath , Vinod Karar , Shashi Poddar

Video generation models have achieved notable progress in static scenarios, yet their performance in motion video generation remains limited, with quality degrading under drastic dynamic changes. This is due to noise disrupting temporal…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Meiqi Wu , Bingze Song , Ruimin Lin , Chen Zhu , Xiaokun Feng , Jiahong Wu , Xiangxiang Chu , Kaiqi Huang

Estimating the limbs pose in a wearable way may benefit multiple areas such as rehabilitation, teleoperation, human-robot interaction, gaming, and many more. Several solutions are commercially available, but they are usually expensive or…

Eye movement prediction is a promising area of research with the potential to improve performance and the user experience of systems based on eye-tracking technology. In this study, we analyze individual differences in gaze prediction…

Human-Computer Interaction · Computer Science 2025-01-30 Kateryna Melnyk , Lee Friedman , Dmytro Katrychuk , Oleg Komogortsev