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Relative pose estimation is a fundamental problem in computer vision and it has been studied for conventional global shutter cameras for decades. However, recently, a rolling shutter camera has been widely used due to its low cost imaging…

Computer Vision and Pattern Recognition · Computer Science 2017-12-04 Chang-Ryeol Lee , Kuk-Jin Yoon

We discuss theoretical formalisms concerning with experimental verification of General Relativity (GR). Non-metric generalizations of GR are considered and a system of postulates is formulated for metric-affine and Finsler gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Alexandrov , I. B. Vavilova , V. I. Zhdanov

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

This paper investigates the estimation problem of the pose (orientation and position) and linear velocity of a rigid body, as well as the landmark positions, using an inertial measurement unit (IMU) and a monocular camera. First, we propose…

Systems and Control · Electrical Eng. & Systems 2024-07-26 Miaomiao Wang , Abdelhamid Tayebi

A magnetometric technique is demonstrated that may be suitable for precision measurements of fields ranging from the sub-microgauss level to above the Earth field. It is based on resonant nonlinear magneto-optical rotation caused by atoms…

Atomic Physics · Physics 2009-11-07 D. Budker , D. F. Kimball , V. V. Yashchuk , M. Zolotorev

It has been proposed to study gravitational lenses from measurements of the spectrum of the fluctuations of the output current of a quadratic detector. The spatial correlation coefficient of the source is the fundamental parameter of the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Ermanno F. Borra

The shortening of bodies in the direction of motion, Lorentz contraction, follows from the solution of Maxwell's equations. Moving light clocks will tick slower than those at rest because the speed of light does not depend on a source of…

General Physics · Physics 2008-09-24 Valery P. Dmitriyev

By proper co-ordinates of non-inertial observers (shortly - proper non-inertial co-ordinates) we understand the proper co-ordinates of an arbitrarily moving local observer. After a brief review of the theory of proper non-inertial…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. Nikolic

This paper is a brief overview of a more extensive article recently published in Found. Phys. Lett. [2]. Apparent disagreement with experiment as well as internal inconsistencies found in the traditional analysis of relativistically…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Robert D. Klauber

The forces acting on an optically trapped particle are usually assumed to be conservative. However, the presence of a non-conservative component has recently been demonstrated. Here we propose a technique that permits one to quantify the…

Statistical Mechanics · Physics 2010-02-08 Giuseppe Pesce , Giorgio Volpe , Anna Chiara De Luca , Giulia Rusciano , Giovanni Volpe

An exact expression for the rate of dragging of inertial frames (Lense-Thirring (LT) precession) in a general stationary spacetime, is derived without invoking the weak field approximation. This expression, when used for the Kerr metric,…

General Relativity and Quantum Cosmology · Physics 2013-04-29 Chandrachur Chakraborty , Parthasarathi Majumdar

We generalise a non-classicality test described by Kot et al. [Phys. Rev. Lett. 108, 233601 (2010)], which can be used to rule out any classical description of a physical system. The test is based on measurements of quadrature operators and…

Quantum Physics · Physics 2015-12-16 Luca Fresta , Johannes Borregaard , Anders S. Sørensen

Several optomechanics experiments are now entering the highly sought nonlinear regime where optomechanical interactions are large even for low light levels. Within this regime, new quantum phenomena and improved performance may be achieved,…

Quantum Physics · Physics 2023-08-04 Jack Clarke , Pascal Neveu , Kiran E. Khosla , Ewold Verhagen , Michael R. Vanner

The non-commutative nature of 3D rotations poses well-known challenges in generalizing planar problems to three-dimensional ones, even more so in contact-rich tasks where haptic information (i.e., forces/torques) is involved. In this sense,…

Robotics · Computer Science 2025-12-10 Amit Kumar , Domenico Campolo , Ravi N. Banavar

We give a closed expression for the Minkowski (1+1)-dimensional metric in the radar coordinates of an arbitrary non-inertial observer O in terms of O's proper acceleration. Knowledge of the metric allows the non-inertial observer to perform…

Classical Physics · Physics 2007-05-23 E. Minguzzi

We give a critical analysis of the conceptual foundations of special relativity. We formulate a simple operational criterion for distinguishing between noninertial and inertial frames which is introduced prior to geometry. We associate the…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Andrew E. Chubykalo , Augusto Espinoza , B. P. Kosyakov

Existing inertial motion capture techniques use the human root coordinate frame to estimate local poses and treat it as an inertial frame by default. We argue that when the root has linear acceleration or rotation, the root frame should be…

Graphics · Computer Science 2024-05-01 Xinyu Yi , Yuxiao Zhou , Feng Xu

The paper shows that, conceptually and operationally, the speed of light as measured locally in the inertial comoving frame of a point on the rim of a rotating disk, is different from the one measured globally for a round trip along the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Rizzi , A. Tartaglia

Atom interferometry is now reaching sufficient precision to motivate laboratory tests of general relativity. We begin by explaining the non-relativistic calculation of the phase shift in an atom interferometer and deriving its range of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Savas Dimopoulos , Peter W. Graham , Jason M. Hogan , Mark A. Kasevich

We demonstrate a magnetometric technique based on nonlinear magneto-optical rotation using amplitude modulated light. The magnetometers can be operated in either open-loop (typical nonlinear magneto-optical rotation with amplitude-modulated…