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We consider the inverse problem of the broken ray transform (sometimes also referred to as the V-line transform). Explicit image reconstruction formulas are derived and tested numerically. The obtained formulas are generalizations of the…

数学物理 · 物理学 2011-01-07 Lucia Florescu , Vadim A. Markel , John C. Schotland

We present a method that accurately propagates residual uncertainties in photometric redshift distributions into the cosmological inference from weak lensing measurements. The redshift distributions of tomographic redshift bins are…

宇宙学与河外天体物理 · 物理学 2021-06-23 B. Stölzner , B. Joachimi , A. Korn , H. Hildebrandt , A. H. Wright

Ptychography is a lensless imaging technique, which considers reconstruction from a set of far-field diffraction patterns obtained by illuminating small overlapping regions of the specimen. In many cases, a distribution of light inside the…

数值分析 · 数学 2022-10-05 Frank Filbir , Oleh Melnyk

A common problem in the sciences is that a signal of interest is observed only indirectly, through smooth functionals of the signal whose values are then obscured by noise. In such inverse problems, the functionals dampen or entirely…

统计方法学 · 统计学 2012-07-04 Darren Homrighausen , Christopher R. Genovese

Matter near a gravitational lens galaxy or projected along the line of sight (LOS) can affect strong lensing observables by more than contemporary measurement errors. We simulate lens fields with realistic three-dimensional mass…

宇宙学与河外天体物理 · 物理学 2017-04-12 Curtis McCully , Charles R. Keeton , Kenneth C. Wong , Ann I. Zabludoff

Ultrasound image reconstruction can be approximately cast as a linear inverse problem that has traditionally been solved with penalized optimization using the $l_1$ or $l_2$ norm, or wavelet-based terms. However, such regularization…

计算机视觉与模式识别 · 计算机科学 2023-08-01 Yuxin Zhang , Clément Huneau , Jérôme Idier , Diana Mateus

Optimal extraction of cosmological information from observations of the Cosmic Microwave Background critically relies on our ability to accurately undo the distortions caused by weak gravitational lensing. In this work, we demonstrate the…

宇宙学与河外天体物理 · 物理学 2024-06-07 Thomas Flöss , William R. Coulton , Adriaan J. Duivenvoorden , Francisco Villaescusa-Navarro , Benjamin D. Wandelt

This paper presents a blind detection and compensation technique for camera lens geometric distortions. The lens distortion introduces higher-order correlations in the frequency domain and in turn it can be detected using higher-order…

计算机视觉与模式识别 · 计算机科学 2007-05-23 Lili Ma , YangQuan Chen , Kevin L. Moore

Photometric redshift estimation is becoming an increasingly important technique, although the currently existing methods present several shortcomings which hinder their application. Here it is shown that most of those drawbacks are…

天体物理学 · 物理学 2011-05-05 Narciso Benitez

We present a method to include lensing selection effects due to the finite horizon of a given detector when studying lensing of gravitational wave (GW) sources. When selection effects are included, the mean of the magnification distribution…

宇宙学与河外天体物理 · 物理学 2021-05-21 Giulia Cusin , Nicola Tamanini

For known gravitational lens systems the redshift distribution of the lenses is compared with theoretical expectations for $10^{4}$~Friedmann-Lema\^\i tre~cosmological models, which more than cover the range of possible cases. The…

天体物理学 · 物理学 2011-05-23 Phillip Helbig , Rainer Kayser

We explore the dependence of weak lensing phenomena on the background cosmology. We first generalise the relation between $P_\psi(\omega)$, the angular power spectrum of the distortion, and the power spectrum of density fluctuations to…

天体物理学 · 物理学 2009-10-28 Nick Kaiser

Microlensings events are predicted for the light coming from cosmological sources. In addition to the microlensing due to gravitation lensing, microlensing produced also by refraction of light due to either ionized, or not, gas clouds can…

天体物理仪器与方法 · 物理学 2016-10-19 G. Cavalleri , F. Barbero , E. Tonni , S. Covino

Integral field spectroscopy of high-redshift galaxies has become a powerful tool for understanding their dynamics and evolutionary states. However, in the case of gravitationally lensed systems, it has proved difficult to model both lensing…

星系天体物理 · 物理学 2022-04-13 Anthony J. Young , Charles R. Keeton , Andrew J. Baker

By stacking an ensemble of strong lensing clusters, we demonstrate the feasibility of placing constraints on the dark energy equation of state. This is achieved by using multiple images of sources at two or more distinct redshift planes.…

天体物理学 · 物理学 2015-06-24 James Gilmore , Priyamvada Natarajan

We present a learning-based approach for removing unwanted obstructions, such as window reflections, fence occlusions, or adherent raindrops, from a short sequence of images captured by a moving camera. Our method leverages motion…

计算机视觉与模式识别 · 计算机科学 2021-07-27 Yu-Lun Liu , Wei-Sheng Lai , Ming-Hsuan Yang , Yung-Yu Chuang , Jia-Bin Huang

When images are statistically described by a generative model we can use this information to develop optimum techniques for various image restoration problems as inpainting, super-resolution, image coloring, generative model inversion, etc.…

图像与视频处理 · 电气工程与系统科学 2020-06-17 Kalliopi Basioti , George V. Moustakides

A light field records numerous light rays from a real-world scene. However, capturing a dense light field by existing devices is a time-consuming process. Besides, reconstructing a large amount of light rays equivalent to multiple light…

计算机视觉与模式识别 · 计算机科学 2018-08-14 Mantang Guo , Hao Zhu , Guoqing Zhou , Qing Wang

Diffusion models have recently emerged as powerful generative priors for solving inverse problems. However, training diffusion models in the pixel space are both data-intensive and computationally demanding, which restricts their…

计算机视觉与模式识别 · 计算机科学 2024-04-17 Bowen Song , Soo Min Kwon , Zecheng Zhang , Xinyu Hu , Qing Qu , Liyue Shen

In this work, we propose an inverse rendering model that estimates 3D shape, spatially-varying reflectance, homogeneous subsurface scattering parameters, and an environment illumination jointly from only a pair of captured images of a…

计算机视觉与模式识别 · 计算机科学 2023-05-16 Chenhao Li , Trung Thanh Ngo , Hajime Nagahara
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