Phase retrieval with application to optical imaging: a contemporary overview

Y Shechtman, YC Eldar, O Cohen… - IEEE signal …, 2015 - ieeexplore.ieee.org
The problem of phase retrieval, ie, the recovery of a function given the magnitude of its
Fourier transform, arises in various fields of science and engineering, including electron …

[HTML][HTML] Saving phase: Injectivity and stability for phase retrieval

AS Bandeira, J Cahill, DG Mixon, AA Nelson - Applied and Computational …, 2014 - Elsevier
Recent advances in convex optimization have led to new strides in the phase retrieval
problem over finite-dimensional vector spaces. However, certain fundamental questions …

The numerics of phase retrieval

A Fannjiang, T Strohmer - Acta Numerica, 2020 - cambridge.org
Phase retrieval, ie the problem of recovering a function from the squared magnitude of its
Fourier transform, arises in many applications, such as X-ray crystallography, diffraction …

Phase retrieval: uniqueness and stability

P Grohs, S Koppensteiner, M Rathmair - SIAM Review, 2020 - SIAM
The problem of phase retrieval, ie, the problem of recovering a function from the magnitudes
of its Fourier transform, naturally arises in various fields of physics, such as astronomy …

Fourier phase retrieval: Uniqueness and algorithms

T Bendory, R Beinert, YC Eldar - Compressed Sensing and its …, 2017 - Springer
The problem of recovering a signal from its phaseless Fourier transform measurements,
called Fourier phase retrieval, arises in many applications in engineering and science …

STFT phase retrieval: Uniqueness guarantees and recovery algorithms

K Jaganathan, YC Eldar… - IEEE Journal of selected …, 2016 - ieeexplore.ieee.org
The problem of recovering a signal from its Fourier magnitude is of paramount importance in
various fields of engineering and applied physics. Due to the absence of Fourier phase …

Computational super-resolution phase retrieval from multiple phase-coded diffraction patterns: simulation study and experiments

V Katkovnik, I Shevkunov, NV Petrov, K Egiazarian - Optica, 2017 - opg.optica.org
In this paper, we consider computational super-resolution inverse diffraction phase retrieval.
The optical setup is lensless, with a spatial light modulator for aperture phase coding. The …

Recovery of sparse 1-D signals from the magnitudes of their Fourier transform

K Jaganathan, S Oymak… - 2012 IEEE International …, 2012 - ieeexplore.ieee.org
The problem of signal recovery from the autocorrelation, or equivalently, the magnitudes of
the Fourier transform, is of paramount importance in various fields of engineering. In this …

Total variation--based phase retrieval for Poisson noise removal

H Chang, Y Lou, Y Duan, S Marchesini - SIAM journal on imaging sciences, 2018 - SIAM
Phase retrieval plays an important role in vast industrial and scientific applications. We
consider a noisy phase retrieval problem in which the magnitudes of the Fourier transform …

Ambiguities in one-dimensional discrete phase retrieval from Fourier magnitudes

R Beinert, G Plonka - Journal of Fourier Analysis and Applications, 2015 - Springer
The present paper is a survey aiming at characterizing all solutions of the discrete phase
retrieval problem. Restricting ourselves to discrete signals with finite support, this problem …