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Phase retrieval deals with the recovery of complex- or real-valued signals from magnitude measurements. As shown recently, the method PhaseMax enables phase retrieval via convex optimization and without lifting the problem to a higher…

Information Theory · Computer Science 2018-02-02 Ramina Ghods , Andrew S. Lan , Tom Goldstein , Christoph Studer

Blind image restoration (IR) is a common yet challenging problem in computer vision. Classical model-based methods and recent deep learning (DL)-based methods represent two different methodologies for this problem, each with their own…

Image and Video Processing · Electrical Eng. & Systems 2024-05-02 Zongsheng Yue , Hongwei Yong , Qian Zhao , Lei Zhang , Deyu Meng , Kwan-Yee K. Wong

In the phase retrieval problem, the aim is the recovery of an unknown image from intensity-only measurements such as Fourier intensity. Although there are several solution approaches, solving this problem is challenging due to its nonlinear…

Image and Video Processing · Electrical Eng. & Systems 2025-01-20 Cagatay Isil , Figen S. Oktem

We consider the problem of finding a low rank symmetric matrix satisfying a system of linear equations, as appears in phase retrieval. In particular, we solve the gauge dual formulation, but use a fast approximation of the spectral…

Optimization and Control · Mathematics 2020-06-02 Ron Estrin , Yifan Sun , Halyun Jeong , Michael Friedlander

In this paper, we study phase retrieval under model misspecification and generative priors. In particular, we aim to estimate an $n$-dimensional signal $\mathbf{x}$ from $m$ i.i.d.~realizations of the single index model $y =…

Machine Learning · Statistics 2022-10-12 Zhaoqiang Liu , Xinshao Wang , Jiulong Liu

Phase retrieval, a long-established challenge for recovering a complex-valued signal from its Fourier intensity measurements, has attracted significant interest because of its far-flung applications in optical imaging. To enhance accuracy,…

Signal Processing · Electrical Eng. & Systems 2023-05-16 Qiuliang Ye , Bingo Wing-Kuen Ling , Li-Wen Wang , Daniel Pak-Kong Lun

A recently proposed convex formulation of the phase retrieval problem estimates the unknown signal by solving a simple linear program. This new scheme, known as PhaseMax, is computationally efficient compared to standard convex relaxation…

Information Theory · Computer Science 2017-10-17 Oussama Dhifallah , Christos Thrampoulidis , Yue M. Lu

This paper proposes a novel framework to regularize the highly ill-posed and non-linear Fourier ptychography problem using generative models. We demonstrate experimentally that our proposed algorithm, Deep Ptych, outperforms the existing…

Machine Learning · Computer Science 2018-12-31 Fahad Shamshad , Farwa Abbas , Ali Ahmed

The pursuit of a universal AI-generated image (AIGI) detector often relies on aggregating data from numerous generators to improve generalization. However, this paper identifies a paradoxical phenomenon we term the Benefit then Conflict…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Ziheng Qin , Yuheng Ji , Renshuai Tao , Yuxuan Tian , Yuyang Liu , Yipu Wang , Xiaolong Zheng

This paper considers the phase retrieval problem in which measurements consist of only the magnitude of several linear measurements of the unknown, e.g., spectral components of a time sequence. We develop low-complexity algorithms with…

Information Theory · Computer Science 2016-08-24 Tianyu Qiu , Prabhu Babu , Daniel P. Palomar

We consider the problem of trustworthy image restoration, taking the form of a constrained optimization over the prior density. To this end, we develop generative models for the task of image super-resolution that respect the degradation…

Image and Video Processing · Electrical Eng. & Systems 2025-05-20 Andreas Floros , Seyed-Mohsen Moosavi-Dezfooli , Pier Luigi Dragotti

Fourier ptychography is a new computational microscopy technique that provides gigapixel-scale intensity and phase images with both wide field-of-view and high resolution. By capturing a stack of low-resolution images under different…

We consider the problem of recovering elements of a low-dimensional model from linear measurements. From signal and image processing to inverse problems in data science, this question has been at the center of many applications. Lately,…

Signal Processing · Electrical Eng. & Systems 2025-05-15 Yann Traonmilin , Jean François Aujol , Antoine Guennec

We introduce a novel framework for solving inverse problems using NeRF-style generative models. We are interested in the problem of 3-D scene reconstruction given a single 2-D image and known camera parameters. We show that naively…

Computer Vision and Pattern Recognition · Computer Science 2021-12-17 Giannis Daras , Wen-Sheng Chu , Abhishek Kumar , Dmitry Lagun , Alexandros G. Dimakis

Medical imaging is an essential tool for diagnosing and treating diseases. However, lacking medical images can lead to inaccurate diagnoses and ineffective treatments. Generative models offer a promising solution for addressing medical…

Image and Video Processing · Electrical Eng. & Systems 2024-01-02 M. AbdulRazek , G. Khoriba , M. Belal

In this work we develop an algorithm for signal reconstruction from the magnitude of its Fourier transform in a situation where some (non-zero) parts of the sought signal are known. Although our method does not assume that the known part…

Optics · Physics 2012-03-06 Eliyahu Osherovich , Michael Zibulevsky , Irad Yavneh

Generative image modeling techniques such as GAN demonstrate highly convincing image generation result. However, user interaction is often necessary to obtain the desired results. Existing attempts add interactivity but require either…

Graphics · Computer Science 2020-09-01 Toby Chong Long Hin , I-Chao Shen , Issei Sato , Takeo Igarashi

Generative adversarial networks (GANs) offer an effective solution to the image-to-image translation problem, thereby allowing for new possibilities in medical imaging. They can translate images from one imaging modality to another at a low…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Agnieszka Tomczak , Aarushi Gupta , Slobodan Ilic , Nassir Navab , Shadi Albarqouni

In the last five decades, iterative phase retrieval methods draw large amount of interest across the research community as a non-interferometric approach to recover quantitative phase distributions from one (or more) intensity measurement.…

Optics · Physics 2020-07-21 Nathaniel Hai , Joseph Rosen

We propose a new problem of missing data reconstruction in the time-frequency plane. This problem called phase inpainting, consists in reconstructing a signal from time-frequency observations where all amplitudes and some phases are known…

Signal Processing · Electrical Eng. & Systems 2018-12-12 A. ~Marina Krémé , Valentin Emiya , Caroline Chaux