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The images of many distant galaxies are displaced, distorted and often multiplied by the presence of foreground massive galaxies near the line of sight; the foreground galaxies act as gravitational lenses. Commonly, the lens equation, which…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Simonetta Frittelli , Thomas P. Kling , Ezra T. Newman

The exoplanet detection rate from gravitational microlensing has grown significantly in recent years thanks to a great enhancement of resources and improved observational strategy. Current observatories include ground-based wide-field…

Earth and Planetary Astrophysics · Physics 2017-04-17 A. Cassan

We use a series of ray-tracing experiments to determine the magnification distribution of high-redshift sources by gravitational lensing. We determine empirically the relation between magnification and redshift, for various cosmological…

Astrophysics · Physics 2007-05-23 Premana Premadi , Hugo Martel

Whether it is object detection, model reconstruction, laser odometry, or point cloud registration: Plane extraction is a vital component of many robotic systems. In this paper, we propose a strictly probabilistic method to detect finite…

Robotics · Computer Science 2019-10-25 Alexander Schaefer , Johan Vertens , Daniel Büscher , Wolfram Burgard

Multichannel, infinite-conjugate optical systems easily allow implementation of multiple image paths and imaging modes into a single microscope. Traditional optical alignment methods which rely on additional hardware are not always simple…

Optics · Physics 2024-07-16 Gemma S. Cairns , Brian R. Patton

Gravitational microlensing is a robust tool to detect and directly measure the abundance and mass of any kind of compact objects, either in our galaxy or in the extragalatic domain. On basis to generic, broadly applicable arguments, it is…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-27 E. Mediavilla , J. Jiménez-Vicente

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

We study how joint shear and magnification measurements improve the statistical precision of weak lensing mass calibration experiments, relative to standard shear-only analysis. For our magnification measurements, we consider not only the…

Cosmology and Nongalactic Astrophysics · Physics 2010-09-30 Eduardo Rozo , Fabian Schmidt

This article deals with the gravitational lensing (GL) of gravitational waves (GW). We compute the increase in the number of detected GW events due to GL. First, we check that geometrical optics is valid for the GW frequency range on which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Arnaud-Varvella , M. -C. Angonin , Ph. Tourrenc

Understanding the large-scale structure of the Universe and unravelling the mysteries of dark matter are fundamental challenges in contemporary cosmology. Reconstruction of the cosmological matter distribution from lensing observables,…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-25 Jessica Whitney , Tobías Liaudat , Matt Price , Matthijs Mars , Jason D. McEwen

Typical applications of gravitational lensing use the properties of electromagnetic or gravitational waves to infer the geometry through which those waves propagate. Nevertheless, the optical fields themselves - as opposed to their…

General Relativity and Quantum Cosmology · Physics 2019-12-10 Abraham I. Harte

Since the first detection of gravitational waves in 2015, gravitational-wave astronomy has emerged as a rapidly advancing field that holds great potential for studying the cosmos, from probing the properties of black holes to testing the…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Anna Liu , Isaac C. F. Wong , Samson H. W. Leong , Anupreeta More , Otto A. Hannuksela , Tjonnie G. F. Li

Image geolocalization is the task of identifying the location depicted in a photo based only on its visual information. This task is inherently challenging since many photos have only few, possibly ambiguous cues to their geolocation.…

Computer Vision and Pattern Recognition · Computer Science 2018-08-08 Paul Hongsuck Seo , Tobias Weyand , Jack Sim , Bohyung Han

The density of stars and MACHOs in the universe could theoretically be determined or limited by simultaneous measurements of compact sources by well separated observers. A gravitational lens effect would be expected to create a slight…

Astrophysics · Physics 2009-10-30 Robert J. Nemiroff

Finding strong gravitational lenses in astronomical images allows us to assess cosmological theories and understand the large-scale structure of the universe. Previous works on lens detection do not quantify uncertainties in lens parameter…

Instrumentation and Methods for Astrophysics · Physics 2022-11-22 Yash Patel , Jeffrey Regier

We present a concept study on weak lensing map reconstruction through the cosmic magnification effect in galaxy number density distribution. We propose a minimal variance linear estimator to minimize both the dominant systematical and…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-16 Xinjuan Yang , Pengjie Zhang

We propose a new method for constructing elimination templates for efficient polynomial system solving of minimal problems in structure from motion, image matching, and camera tracking. We first construct a particular affine…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Evgeniy Martyushev , Jana Vrablikova , Tomas Pajdla

Recent developments in engineering techniques for spatial data collection such as geographic information systems have resulted in an increasing need for methods to analyze large spatial data sets. These sorts of data sets can be found in…

Methodology · Statistics 2020-08-14 Toshihiro Hirano

Lens magnification by galaxy clusters induces characteristic spatial variations in the number counts of background sources, amplifying their observed fluxes and expanding the area of sky, the net effect of which, known as magnification…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Keiichi Umetsu

The purpose of these lecture notes is to describe the gravitational lens effects in different astrophysical contexts. These notes are voluntarily focused on the fundamental mechanisms and the basic concepts that are useful to describe these…

Astrophysics · Physics 2007-05-23 F. Bernardeau
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