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Per-scene optimization methods such as 3D Gaussian Splatting provide state-of-the-art novel view synthesis quality but extrapolate poorly to under-observed areas. Methods that leverage generative priors to correct artifacts in these areas…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Riccardo de Lutio , Tobias Fischer , Yen-Yu Chang , Yuxuan Zhang , Jay Zhangjie Wu , Xuanchi Ren , Tianchang Shen , Katarina Tothova , Zan Gojcic , Haithem Turki

It is shown which properties of a strong gravitational lens can in principle be recovered from observations of multiple extended images when no assumptions are made about the deflector or sources. The mapping between individual multiple…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Nicolas Tessore

Auto-regressive frameworks for next-scale prediction of 2D images have demonstrated strong potential for producing diverse and sophisticated content by progressively refining a coarse input. However, extending this paradigm to 3D object…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Quanyuan Ruan , Kewei Shi , Jiabao Lei , Xifeng Gao , Xiaoguang Han

Predictions of the standard thin lens approximation and a new iterative approach to gravitational lensing are compared with an ``exact'' approach in simple test cases involving one or two lenses. We show that the thin lens and iterative…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thomas P. Kling , Ezra T. Newman , Alejandro Perez

We develop a non--perturbative method that yields analytical expressions for the deflection angle of light in a general static and spherically symmetric metric. It is an improvement on a method previously devised by the authors, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paolo Amore , Mayra Cervantes , Arturo De Pace , Francisco M. Fernandez

Galaxies acting as gravitational lenses are surrounded by, at most, a handful of images. This apparent paucity of information forces one to make the best possible use of what information is available to invert the lens system. In this…

Astrophysics · Physics 2009-11-13 J. Liesenborgs , S. De Rijcke , H. Dejonghe , P. Bekaert

We propose an Analytical method of Blind Separation (ABS) of cosmic magnification from the intrinsic fluctuations of galaxy number density in the observed galaxy number density distribution. The ABS method utilizes the different dependences…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-27 Xinjuan Yang , Jun Zhang , Yu Yu , Pengjie Zhang

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

[Abridged] We exploit the clustering of massive galaxies to perform a high efficiency imaging search for gravitational lenses. Our dataset comprises 44 fields imaged by the Hubble Space Telescope (HST) Advanced Camera for Surveys (ACS),…

Astrophysics · Physics 2010-05-12 Elisabeth R. Newton , Philip J. Marshall , Tommaso Treu

Extended source effects can be seen in gravitational lensing events when sources cross critical lines. Those events probe the stellar intensity profile and could be used to measure limb darkening coefficients to test stellar model…

Instrumentation and Methods for Astrophysics · Physics 2019-08-14 Hans J. Witt , F. Atrio-Barandela

We present a new gravitational lens modelling technique designed to model high-resolution interferometric observations with large numbers of visibilities without the need to pre-average the data in time or frequency. We demonstrate the…

Instrumentation and Methods for Astrophysics · Physics 2021-01-06 Devon Powell , Simona Vegetti , John P. McKean , Cristiana Spingola , Francesca Rizzo , Hannah R. Stacey

We investigate the possibility of correcting for the magnification due to gravitational lensing of standard candle sources, such as Type Ia supernovae. Our method uses the observed properties of the foreground galaxies along the…

Astrophysics · Physics 2009-11-13 Christofer Gunnarsson , Tomas Dahlen , Ariel Goobar , Jakob Jonsson , Edvard Mortsell

This note addresses possible applications of the Tikhonov regularization to image reconstruction of gravitational lens systems. Several modifications of the regularization algorithm are discussed. Our illustrative example is the close…

Astrophysics · Physics 2007-05-23 E. Koptelova , E. Shimanovskaya , B. Artamonov , V. Belokurov , M. Sazhin , A. Yagola

In this work we introduced a new proposal to study the gravitational lensing theory by spherical lenses, starting from its surface mass density $\Sigma(x)$ written in terms of a decreasing function $f$ of a dimensionless coordinate $x$ on…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-21 Roger Hurtado , Leonardo Castaneda , Juan M. Tejeiro

Recently, multiple formulations of vision problems as probabilistic inversions of generative models based on computer graphics have been proposed. However, applications to 3D perception from natural images have focused on low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2014-07-08 Tejas D. Kulkarni , Vikash K. Mansinghka , Pushmeet Kohli , Joshua B. Tenenbaum

Lens modeling of resolved image data has advanced rapidly over the past two decades. More recently pixel-based approaches, wherein the source is reconstructed on an irregular or adaptive grid, have become popular. Generally, the source…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-09 Amitpal S. Tagore , Neal Jackson

The precision reached by current and forthcoming strong-lensing observations requires to accurately model various perturbations to the main deflector. Hitherto, theoretical models have been developed to account for either cosmological…

General Relativity and Quantum Cosmology · Physics 2022-05-10 Pierre Fleury , Julien Larena , Jean-Philippe Uzan

In galaxy-galaxy strong gravitational lensing, Einstein rings are generated when the lensing galaxy has an axisymmetric lensing potential and the source galaxy is aligned with its symmetry centre along the line of sight. Using a Taylor…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Jenny Wagner

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

Galaxy clusters are considered as excellent probes for cosmology. For that purpose, their mass needs to be measured and their structural properties needs to be understood. We propose a method for galaxy cluster mass reconstruction which…

Cosmology and Nongalactic Astrophysics · Physics 2010-08-19 Xinzhong Er , Guoliang Li , Peter Schneider