Phase retrieval with application to optical imaging: a contemporary overview
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 …
Fourier transform, arises in various fields of science and engineering, including electron …
[HTML][HTML] Saving phase: Injectivity and stability for phase retrieval
Recent advances in convex optimization have led to new strides in the phase retrieval
problem over finite-dimensional vector spaces. However, certain fundamental questions …
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 …
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 …
of its Fourier transform, naturally arises in various fields of physics, such as astronomy …
Fourier phase retrieval: Uniqueness and algorithms
The problem of recovering a signal from its phaseless Fourier transform measurements,
called Fourier phase retrieval, arises in many applications in engineering and science …
called Fourier phase retrieval, arises in many applications in engineering and science …
STFT phase retrieval: Uniqueness guarantees and recovery algorithms
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 …
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
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 …
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
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 …
the Fourier transform, is of paramount importance in various fields of engineering. In this …
Total variation--based phase retrieval for Poisson noise removal
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 …
consider a noisy phase retrieval problem in which the magnitudes of the Fourier transform …
Ambiguities in one-dimensional discrete phase retrieval from Fourier magnitudes
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 …
retrieval problem. Restricting ourselves to discrete signals with finite support, this problem …