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This paper investigates a fully unsupervised statistical method for edge preserving image restoration and compression using a spatial decomposition scheme. Smoothed maximum likelihood is used for local estimation of edge pixels from mixture…

Methodology · Statistics 2016-11-26 Kinjal Basu , Debapriya Sengupta

We re-examine the effects of redshift space distortion in all-sky galaxy redshift surveys in the formalism of spherical harmonics. Within this framework we show how one can treat both the large-scale linear effects, and the small-scale…

Astrophysics · Physics 2015-06-24 A. F. Heavens , A. N. Taylor

The intrinsic scatter in the ellipticities of galaxies about the mean shape, known as "shape noise," is the most important source of noise in weak lensing shear measurements. Several approaches to reducing shape noise have recently been put…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-21 Rupert A. C. Croft , Peter E. Freeman , Thomas S. Schuster , Chad M. Schafer

Telescopes such as the Atmospheric Imaging Assembly aboard the Solar Dynamics Observatory, a NASA satellite, collect massive streams of high resolution images of the Sun through multiple wavelength filters. Reconstructing pixel-by-pixel…

Instrumentation and Methods for Astrophysics · Physics 2015-12-15 Nathan M Stein , David A van Dyk , Vinay L Kashyap

Learned image compression methods generally optimize a rate-distortion loss, trading off improvements in visual distortion for added bitrate. Increasingly, however, compressed imagery is used as an input to deep learning networks for…

Image and Video Processing · Electrical Eng. & Systems 2022-02-02 Maxime Kawawa-Beaudan , Ryan Roggenkemper , Avideh Zakhor

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transform. Our key…

Optimization and Control · Mathematics 2008-03-25 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Absorption measurement is an exceptionally versatile tool for many applications in science and engineering. For absorption measurements using laser beams of light, the sensitivity is theoretically limited by the shot noise due to the…

Optics · Physics 2021-04-22 Fu Li , Tian Li , Marlan O. Scully , Girish S. Agarwal

Volumetric data compression is critical in fields like medical imaging, scientific simulation, and entertainment. We introduce a structure-free neural compression method combining Fourierfeature encoding with selective voxel sampling,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-13 Leona Žůrková , Petr Strakoš , Michal Kravčenko , Tomáš Brzobohatý , Lubomír Říha

We investigate the sign-linear embeddings of 1-bit compressed sensing given by Gaussian measurements. One can give short arguments concerning a Restricted Isometry Property of such maps using Vapnik-Chervonenkis dimension of sparse…

Classical Analysis and ODEs · Mathematics 2016-04-13 Scott Spencer

Images taken in a low light condition with the presence of camera shake suffer from motion blur and photon shot noise. While state-of-the-art image restoration networks show promising results, they are largely limited to well-illuminated…

Image and Video Processing · Electrical Eng. & Systems 2023-04-07 Yash Sanghvi , Zhiyuan Mao , Stanley H. Chan

We describe a procedure for background subtracting Sloan Digital Sky Survey (SDSS) imaging that improves the resulting detection and photometry of large galaxies on the sky. Within each SDSS drift scan run, we mask out detected sources and…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Michael R. Blanton , Eyal Kazin , Demitri Muna , Benjamin A. Weaver , Adrian Price-Whelan

Recently, there has been much interest in deep learning techniques to do image compression and there have been claims that several of these produce better results than engineered compression schemes (such as JPEG, JPEG2000 or BPG). A…

Image and Video Processing · Electrical Eng. & Systems 2019-08-13 Yash Patel , Srikar Appalaraju , R. Manmatha

This paper studies the recovery of a superposition of point sources from noisy bandlimited data. In the fewest possible words, we only have information about the spectrum of an object in a low-frequency band bounded by a certain cut-off…

Information Theory · Computer Science 2013-07-11 Emmanuel Candes , Carlos Fernandez-Granda

The large size of the time ordered data of cosmic microwave background experiments presents challenges for mission planning and data analysis. These issues are particularly significant for Antarctica- and space-based experiments, which…

Instrumentation and Methods for Astrophysics · Physics 2019-08-05 L. Balkenhol , C. L. Reichardt

Cosmic shear is regarded one of the most powerful probes to reveal the properties of dark matter and dark energy. To fully utilize its potential, one has to be able to control systematic effects down to below the level of the statistical…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-03 B. Joachimi , P. Schneider

Lossy image compression algorithms are pervasively used to reduce the size of images transmitted over the web and recorded on data storage media. However, we pay for their high compression rate with visual artifacts degrading the user…

Computer Vision and Pattern Recognition · Computer Science 2018-01-30 Lukas Cavigelli , Pascal Hager , Luca Benini

A lossy compression algorithm is presented for astronomical images that protects photometric integrity for detected point sources at a user-defined level of statistical tolerance. PHOTZIP works by modeling, smoothing, and then compressing…

Astrophysics · Physics 2009-11-10 Lior Shamir , Robert J. Nemiroff

We present a registration algorithm which jointly estimates motion and the ground truth image from a set of noisy frames under rigid, constant translation. The algorithm is non-iterative and needs no hyperparameter tuning. It requires a…

Image and Video Processing · Electrical Eng. & Systems 2022-03-01 Evan Widloski , Farzad Kamalabadi

Upcoming photometric lensing surveys will considerably tighten constraints on the neutrino mass and the dark energy equation of state. Nevertheless it remains an open question of how to optimally extract the information and how well the…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-12 Peter L. Taylor , Thomas D. Kitching , Jason D. McEwen