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Phase retrieval is the inverse problem of recovering a signal from magnitude-only Fourier measurements, and underlies numerous imaging modalities, such as Coherent Diffraction Imaging (CDI). A variant of this setup, known as holography,…

Machine Learning · Computer Science 2021-04-22 Hannah Lawrence , David A. Barmherzig , Henry Li , Michael Eickenberg , Marylou Gabrié

In this work we consider the problem of reconstruction of a signal from the magnitude of its Fourier transform, also known as phase retrieval. The problem arises in many areas of astronomy, crystallography, optics, and coherent diffraction…

Optics · Physics 2012-03-22 Eliyahu Osherovich

This contribution deals with image restoration in optical systems with coherent illumination, which is an important topic in astronomy, coherent microscopy and radar imaging. Such optical systems suffer from wavefront distortions, which are…

Instrumentation and Methods for Astrophysics · Physics 2017-04-04 Claudius Zelenka , Reinhard Koch

$Hybrid$ $images$ was first introduced by Olivia et al., that produced static images with two interpretations such that the images changes as a function of viewing distance. Hybrid images are built by studying human processing of multiscale…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Jimut Bahan Pal

A general mathematical framework and recovery algorithm is presented for the holographic phase retrieval problem. In this problem, which arises in holographic coherent diffraction imaging, a "reference" portion of the signal to be recovered…

Information Theory · Computer Science 2024-12-20 David A. Barmherzig , Ju Sun , T. J. Lane , Po-Nan Li , Emmanuel J. Candès

Single-image super-resolution is a fundamental task for vision applications to enhance the image quality with respect to spatial resolution. If the input image contains degraded pixels, the artifacts caused by the degradation could be…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Xinyi Zhang , Hang Dong , Zhe Hu , Wei-Sheng Lai , Fei Wang , Ming-Hsuan Yang

Binary amplitude spatial light modulators, such as digital micromirror devices (DMDs), are increasingly relevant for computer generated holography due to their high refresh rates, low cost, and due to the emergence of subwavelength pixel…

We consider solving ill-posed imaging inverse problems without access to an explicit image prior or ground-truth examples. An overarching challenge in inverse problems is that there are many undesired images that fit to the observed…

Image and Video Processing · Electrical Eng. & Systems 2023-03-23 Angela F. Gao , Oscar Leong , He Sun , Katherine L. Bouman

Untrained Physics-based Deep Learning (DL) methods for digital holography have gained significant attention due to their benefits, such as not requiring an annotated training dataset, and providing interpretability since utilizing the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-20 Xiwen Chen , Hao Wang , Zhao Zhang , Zhenmin Li , Huayu Li , Tong Ye , Abolfazl Razi

Ghost imaging (GI) is an unconventional imaging method that retrieves the image of an object by correlating a series of known illumination patterns with the total reflected (or transmitted) intensity. We here demonstrate a scheme which can…

Image and Video Processing · Electrical Eng. & Systems 2021-01-05 Yuan Yuan , Hui Chen

This paper presents a method for estimating the resolution of a digital holographic microscope using neural network analysis of reconstructed images. The spectral bandwidth of the source ($\Delta \lambda$) is used as a controlled image…

Optics · Physics 2026-05-12 A. G. Fedorov

In classical binary holography, a target pattern located at infinity is generated by the diffraction of a plane wave passing through a binary mask with holes of the same size, placed at specific positions of a rectangular grid. Fresnel…

Optics · Physics 2022-10-17 Veronica P. Simonsen , Bodil Holst , Ingve Simonsen

Computer-generated holography (CGH) can be used to display three-dimensional (3D) images and has a special feature that no other technology possesses: it can reconstruct arbitrary object wavefronts. In this study, we investigated a…

Optics · Physics 2023-10-17 Shuhei Yoshida

This paper investigates the inverse biharmonic scattering problems of identifying the shape and location of the obstacle with phased and phaseless measurement data. A direct imaging method based on reverse time migration is proposed for…

Analysis of PDEs · Mathematics 2026-05-12 Tielei Zhu , Zhihao Ge

Coupled tensor approximation has recently emerged as a promising approach for the fusion of hyperspectral and multispectral images, reconciling state of the art performance with strong theoretical guarantees. However, tensor-based…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Ricardo Augusto Borsoi , Clémence Prévost , Konstantin Usevich , David Brie , José Carlos Moreira Bermudez , Cédric Richard

Holographic wave-shaping has found numerous applications across the physical sciences, especially since the development of digital spatial-light modulators (SLMs). A key challenge in digital holography consists in finding optimal hologram…

Image and Video Processing · Electrical Eng. & Systems 2019-11-05 Jannes Gladrow

To date, high-resolution (< 1 nm) imaging of extended objects in three-dimensions (3D) has not been possible. A restriction known as the Crowther criterion forces a tradeoff between object size and resolution for 3D reconstructions by…

Materials Science · Physics 2014-11-20 Robert Hovden , Peter Ercius , Yi Jiang , Deli Wang , Yingchao Yu , Hector D. Abruna , Veit Elser , David A. Muller

By a proper arrangement of a digital holography setup, that combines off-axis geometry with phase-shifting recording conditions, it is possible to reach the theoretical shot noise limit, in real-time experiments.We studied this limit, and…

Optics · Physics 2012-06-11 Frédéric Verpillat , Fadwa Joud , Michael Atlan , Michel Gross

Speckle noise is an inherent disturbance in coherent imaging systems such as digital holography, synthetic aperture radar, optical coherence tomography, or ultrasound systems. These systems usually produce only single observation per view…

Image and Video Processing · Electrical Eng. & Systems 2022-05-19 Tsung-Ming Tai , Yun-Jie Jhang , Wen-Jyi Hwang , Chau-Jern Cheng

A hologram is an optical element storing phase and possibly amplitude information enabling the reconstruction of a three dimensional image of an object by illumination and scattering of a coherent beam of light, and the image is generated…

Optics · Physics 2016-09-21 Euclides Almeida , Ora Bitton , Yehiam Prior