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The maximum-entropy method is applied to the problem of reconstructing the projected mass density of a galaxy cluster using its gravitational lensing effects on background galaxies. We demonstrate the method by reconstructing the mass…

Astrophysics · Physics 2009-10-30 S. L. Bridle , M. P. Hobson , A. N. Lasenby , Richard Saunders

In a previous paper we investigated means for constraining the mass distribution of cluster galaxies by weak lensing. We concluded that a comprehensive method should treat the lensing effects of individual cluster galaxies and those…

Astrophysics · Physics 2009-10-30 Bernhard Geiger , Peter Schneider

Motivated by the limitations encountered with the commonly used direct reconstruction techniques of producing mass maps, we have developed a multi-resolution maximum-likelihood reconstruction method for producing two dimensional mass maps…

Astrophysics · Physics 2009-11-13 H. Khiabanian , I. P. Dell'Antonio

We present a novel method to recontruct the mass distribution of galaxy clusters from their gravitational lens effect on background galaxies. The method is based on a least-chisquare fit of the two-dimensional gravitational cluster…

Astrophysics · Physics 2009-10-28 Matthias Bartelmann , Ramesh Narayan , Stella Seitz , Peter Schneider

A new method for the reconstruction of the projected mass distribution of clusters of galaxies from the image distortion of background galaxies is discussed. This method is essentially equivalent to the one we developed previously, i.e.,…

Astrophysics · Physics 2007-05-23 Stella Seitz , Peter Schneider

We develop the maximum-entropy weak shear mass reconstruction method presented in earlier papers by taking each background galaxy image shape as an independent estimator of the reduced shear field and incorporating an intrinsic smoothness…

Astrophysics · Physics 2009-11-07 P. J. Marshall , M. P. Hobson , S. F. Gull , S. L. Bridle

Weak gravitational lensing studies of clusters of galaxies provide complimentary information to that from X-ray data; the measured signal depends only on the cluster's projected mass, independent of dynamical assumptions. Here we apply a…

Astrophysics · Physics 2007-05-23 P. J. Marshall

We propose a new technique to reconstruct non-parametrically the projected mass distribution of galaxy clusters from their gravitational lens effect on background galaxies. The beauty of our technique, is that it combines information from…

Astrophysics · Physics 2007-05-23 Hanadi M. AbdelSalam , Prasenjit Saha , Liliya L. R. Williams

We demonstrate that the maximum-entropy method for gravitational lens reconstruction presented in Bridle et al. (1998) may be applied even when only shear \emph{or} magnification information is present. We also demonstrate that the method…

Astrophysics · Physics 2007-05-23 S. L. Bridle , M. P. Hobson , Richard Saunders , A. N. Lasenby

Non-parametric lensing methods are a useful way of reconstructing the lensing mass of a cluster without making assumptions about the way the mass is distributed in the cluster. These methods are particularly powerful in the case of galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Pier Paolo Ponente , Jose Maria Diego

Image deblurring is a notoriously challenging ill-posed inverse problem. In recent years, a wide variety of approaches have been proposed based upon regularization at the level of the image or on techniques from machine learning. We propose…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Gabriel Rioux , Rustum Choksi , Tim Hoheisel , Pierre Marechal , Christopher Scarvelis

This paper presents a new method for the reconstruction of weak lensing mass maps. It uses the multiscale entropy concept, which is based on wavelets, and the False Discovery Rate which allows us to derive robust detection levels in wavelet…

Astrophysics · Physics 2009-11-10 Jean-Luc Starck , Sandrine Pires , Alexandre Refregier

We propose a new approach for the accurate reconstruction of cosmic microwave background distributions from observations containing in addition to the primary fluctuations the radiation from unresolved extragalactic point sources and pixel…

Astrophysics · Physics 2007-05-23 A. T. Bajkova

Measurements of the total logarithmic central slope of the mass profile in galaxy clusters constrain their evolution and assembly history and that of their brightest cluster galaxies. We report the first full surface brightness distribution…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-28 Stefan Rau , Simona Vegetti , Simon D. M. White

Weak gravitational lensing is considered to be one of the most powerful tools to study the mass and the mass distribution of galaxy clusters. However, the mass-sheet degeneracy transformation has limited its success. We present a novel…

Astrophysics · Physics 2007-05-23 M. Bradac , P. Schneider , M. Lombardi , T. Erben

Free-form strong-lensing (SL) mass reconstructions typically suffer from overfitting, which manifest itself as false-positive small-scale fluctuations. We present a new free-form MAximum-entropy ReconStruction (${\tt MARS}$) method without…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-08 Sangjun Cha , M. James Jee

We revisit the issue of non-parametric gravitational lens reconstruction and present a new method to obtain the cluster mass distribution using strong lensing data without using any prior information on the underlying mass. The method…

Astrophysics · Physics 2009-10-07 J. M. Diego , P. Protopapas , H. B Sandvik , M. Tegmark

Statistical analyses of observed galaxy distortions are often used to reconstruct the mass distribution of an intervening cluster responsible for gravitational lensing. In current projects, distortions of thousands of source galaxies have…

Astrophysics · Physics 2007-05-23 Marco Lombardi , Giuseppe Bertin

Galaxy clusters are powerful probes of astrophysics and cosmology through gravitational lensing: the clusters' mass, dominated by 85% dark matter, distorts background light. Yet, mass reconstruction lacks the scalability and large-scale…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Diego Royo , Brandon Zhao , Adolfo Muñoz , Diego Gutierrez , Katherine L. Bouman

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
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