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We theoretically develop and experimentally demonstrate a holographic method for imaging cold atoms at the diffraction and photon shot noise limits. Aided by a double point source reference field, a simple iterative algorithm robustly…

Atomic Physics · Physics 2015-06-18 J. P. Sobol , Saijun Wu

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

Methodology · Statistics 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

In one-bit compressed sensing, previous results state that sparse signals may be robustly recovered when the measurements are taken using Gaussian random vectors. In contrast to standard compressed sensing, these results are not extendable…

Information Theory · Computer Science 2013-04-10 Albert Ai , Alex Lapanowski , Yaniv Plan , Roman Vershynin

Compressed Sensing (CS) facilitates rapid image acquisition by selecting a small subset of measurements sufficient for high-fidelity reconstruction. Adaptive CS seeks to further enhance this process by dynamically choosing future…

Image and Video Processing · Electrical Eng. & Systems 2024-07-12 Noam Elata , Tomer Michaeli , Michael Elad

In this work we consider the inverse problem of reconstructing the optical properties of a layered medium from an elastography measurement where optical coherence tomography is used as the imaging method. We hereby model the sample as a…

Numerical Analysis · Mathematics 2024-02-23 Peter Elbau , Leonidas Mindrinos , Leopold Veselka

The paper introduces a framework for the recoverability analysis in compressive sensing for imaging applications such as CI cameras, rapid MRI and coded apertures. This is done using the fact that the Spherical Section Property (SSP) of a…

Information Theory · Computer Science 2012-12-07 Mahdi S. Hosseini , Konstantinos N. Plataniotis

Taking photographs in low light using a mobile phone is challenging and rarely produces pleasing results. Aside from the physical limits imposed by read noise and photon shot noise, these cameras are typically handheld, have small apertures…

Computer Vision and Pattern Recognition · Computer Science 2019-10-28 Orly Liba , Kiran Murthy , Yun-Ta Tsai , Tim Brooks , Tianfan Xue , Nikhil Karnad , Qiurui He , Jonathan T. Barron , Dillon Sharlet , Ryan Geiss , Samuel W. Hasinoff , Yael Pritch , Marc Levoy

Light field photography enables to record 4D images, containing angular information alongside spatial information of the scene. One of the important applications of light field imaging is post-capture refocusing. Current methods require for…

Computer Vision and Pattern Recognition · Computer Science 2020-09-08 Shachar Ben Dayan , David Mendlovic , Raja Giryes

A simple, yet general, formalism for the optimized linear combination of astrophysical images is constructed and demonstrated. The formalism allows the user to combine multiple undersampled images to provide oversampled output at high…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Barnaby Rowe , Christopher Hirata , Jason Rhodes

Transformer-based image restoration methods in adverse weather have achieved significant progress. Most of them use self-attention along the channel dimension or within spatially fixed-range blocks to reduce computational load. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-26 Shangquan Sun , Wenqi Ren , Xinwei Gao , Rui Wang , Xiaochun Cao

A novel framework to construct an efficient sensing (measurement) matrix, called mixed adaptive-random (MAR) matrix, is introduced for directly acquiring a compressed image representation. The mixed sampling (sensing) procedure hybridizes…

Information Theory · Computer Science 2015-04-07 Jun Yang , Wei E. I. Sha , Hongyang Chao , Zhu Jin

A limitation of many compressive imaging architectures lies in the sequential nature of the sensing process, which leads to long sensing times. In this paper we present a novel architecture that uses fewer detectors than the number of…

Computer Vision and Pattern Recognition · Computer Science 2013-11-05 Tomas Björklund , Enrico Magli

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…

Numerical Analysis · Mathematics 2022-10-05 Frank Filbir , Oleh Melnyk

Holographic representations of data enable distributed storage with progressive refinement when the stored packets of data are made available in any arbitrary order. In this paper, we propose and test patch-based transform coding…

Information Theory · Computer Science 2021-03-01 Alfred Marcel Bruckstein , Martianus Frederic Ezerman , Adamas Aqsa Fahreza , San Ling

We propose and demonstrate a holographic imaging scheme exploiting random illuminations for recording hologram and then applying numerical reconstruction and twin removal. We use an in-line holographic geometry to record the hologram in…

Compressed sensing is a signal processing scheme that reconstructs high-dimensional sparse signals from a limited number of observations. In recent years, various problems involving signals with a finite number of discrete values have been…

Statistical Mechanics · Physics 2024-08-20 Mikiya Doi , Masayuki Ohzeki

This paper presents a fast algorithm for obtaining high-accuracy subpixel translation of low PSNR images. Instead of locating the maximum point on the upsampled images or fitting the peak of correlation surface, the proposed algorithm is…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Song Feng , Linhua Deng , Guofeng Shu , Feng Wang , Hui Deng , Kaifan Ji

Enhancing practical low light raw images is a difficult task due to severe noise and color distortions from short exposure time and limited illumination. Despite the success of existing Convolutional Neural Network (CNN) based methods,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 K. Ram Prabhakar , Vishal Vinod , Nihar Ranjan Sahoo , R. Venkatesh Babu

This work presents a high-resolution X-ray microtomography system that uses commercial off-the-shelf (COTS) CMOS image sensors as direct detectors, relying on the sensor s intrinsic resolution to achieve tomographic reconstructions without…

Image and Video Processing · Electrical Eng. & Systems 2026-05-29 Damian L. Corzi , Jose Lipovetzky , Fabricio Alcalde Bessia , German Mato , Andres Cicuttin , Maria L. Crespo , Martin Perez , Mariano Gomez Berisso

A recent line of research termed unlabeled sensing and shuffled linear regression has been exploring under great generality the recovery of signals from subsampled and permuted measurements; a challenging problem in diverse fields of data…

Information Theory · Computer Science 2019-07-19 Manolis C. Tsakiris , Liangzu Peng