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Gravitational lensing in clusters of galaxies is an efficient tool to probe the mass distribution of galaxies and clusters, high redshift objects thanks to the gravitational amplification, and the geometry of the universe. We review some…

Astrophysics · Physics 2009-10-31 M. Hattori , J. -P. Kneib , N. Makino

The theory of gravitational lensing is reviewed from a spacetime perspective, without quasi-Newtonian approximations. More precisely, the review covers all aspects of gravitational lensing where light propagation is described in terms of…

General Relativity and Quantum Cosmology · Physics 2010-10-19 Volker Perlick

Optical lattice clocks (OLCs) enable us to measure time and frequency with a fractional uncertainty at $10^{-18}$ level, which is 2 orders of magnitude better than Cs clocks. In this article, after briefly reviewing OLCs and the history of…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Hisaaki Shinkai , Masao Takamoto , Hidetoshi Katori

The formalism for describing a metric and the corresponding scalar in terms of multipole moments has recently been developed for scalar-tensor theories. We take advantage of this formalism in order to obtain expressions for the observables…

General Relativity and Quantum Cosmology · Physics 2015-09-07 George Pappas , Thomas P. Sotiriou

In this paper we propose an end-to-end learnable approach that detects static urban objects from multiple views, re-identifies instances, and finally assigns a geographic position per object. Our method relies on a Graph Neural Network…

Computer Vision and Pattern Recognition · Computer Science 2020-03-25 Ahmed Samy Nassar , Stefano D'Aronco , Sébastien Lefèvre , Jan D. Wegner

The potential of gravitational lenses for providing direct, physical measurements of the Hubble constant, free from systematic errors associated with the traditional distance ladder, has long been recognized. However, it is only recently…

Astrophysics · Physics 2007-05-23 Roger D. Blandford , Tomislav Kundic

An interstellar communication network benefits from relay nodes placed in the gravitational lenses of stars. The signal gains are of order $10^{9}$ with optimal alignment, allowing for GBits connections at kW power levels with meter-sized…

Instrumentation and Methods for Astrophysics · Physics 2021-04-21 Michael Hippke

In order to avoid collisions with space debris, the near Earth orbit must be continuously scanned by either ground- or spaced-based facilities. For the low Earth orbit, radar telescopes are the workhorse for this task, especially due to…

Instrumentation and Methods for Astrophysics · Physics 2015-01-26 Daniel Hampf , Paul Wagner , Wolfgang Riede

A logical approach to object recognition on image is proposed. The main idea of the approach is to perform the object recognition as a logical inference on a set of rules describing an object shape.

Computer Vision and Pattern Recognition · Computer Science 2010-04-28 R. K. Fedorov

The aim of this contribution is to present the two first phases of the optical monitoring programme of the Gravitational Lenses group at the Universidad de Cantabria (GLUC, http://grupos.unican.es/glendama/). In an initial stage (2003…

Astrophysics · Physics 2007-05-23 L. J. Goicoechea , A. Ullan , J. E. Ovaldsen , E. Koptelova , V. N. Shalyapin , R. Gil-Merino

Modern applications of strong gravitational lensing require the ability to use precise and varied observational data to constrain complex lens models. I discuss two sets of computational methods for lensing calculations. The first is a new…

Astrophysics · Physics 2007-05-23 Charles R. Keeton

The bending of lightrays by the gravitational field of a ``lens'' that is moving relative to the observer is calculated within the approximation of weak fields, small angles and thin lenses. Up to first order in $v/c$ -- and assuming the…

Astrophysics · Physics 2009-11-07 Simonetta Frittelli

We offer a concise and direct way to derive the bending angle of light (i.e. as generally called, gravitational lensing), while light grazes a star, through the approach suggested earlier by the first author, which is fundamentally based on…

General Physics · Physics 2014-01-15 Tolga Yarman , Alexander Kholmetskii , Metin Arik

This paper proposes \textit{Contour Context}, a simple, effective, and efficient topological loop closure detection pipeline with accurate 3-DoF metric pose estimation, targeting the urban utonomous driving scenario. We interpret the…

Robotics · Computer Science 2023-07-11 Binqian Jiang , Shaojie Shen

The aim of this paper is to present a new method of approximation of planar data set using only arcs or segments. The first problem we are trying to solve is the following: the CNC machines can work only with simple curves (arcs or…

Numerical Analysis · Mathematics 2013-11-25 Maurizio Scarparo

The basic equations and geometry of gravitational lensing are described, as well as the most important contexts in which it is observed in astronomy: strong lensing, weak lensing and microlensing.

Astrophysics · Physics 2016-08-30 Konrad Kuijken

When humans play geolocation games such as GeoGuessr, they rely on concrete visual cues, such as road markings, vegetation, or architectural details, to infer where an image was captured. Whether image geolocation models rely on similar…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Emilie Durrieu , Christophe Hurter , Philippe Muller , Victor Boutin

The possibility of using lensed relativistic jets on very small angular scales to construct proper models of spiral lens galaxies and to independently determine the Hubble constant is considered. The system B0218+357 is used as an example…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 T. I. Larchenkova , N. S. Lyskova , A. A. Lutovinov

Randomly oriented flattened spheroids have been used to describe a broad range of astrophysical phenomena. Here we use this geometric approach to derive equations representing lines of sight through quasar absorption clouds to constrain…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-06 John K. Webb

Gravitational lensing is now widely and successfully used to study a range of astronomical phenomena, from individual objects, like galaxies and clusters, to the mass distribution on various scales, to the overall geometry of the Universe.…

Astrophysics · Physics 2007-05-23 Liliya L. R. Williams , Paul L. Schechter