On the use of deep learning for phase recovery
Phase recovery (PR) refers to calculating the phase of the light field from its intensity
measurements. As exemplified from quantitative phase imaging and coherent diffraction …
measurements. As exemplified from quantitative phase imaging and coherent diffraction …
High-resolution and large field-of-view Fourier ptychographic microscopy and its applications in biomedicine
Fourier ptychographic microscopy (FPM) is a promising and fast-growing computational
imaging technique with high resolution, wide field-of-view (FOV) and quantitative phase …
imaging technique with high resolution, wide field-of-view (FOV) and quantitative phase …
Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming
EJ Candes, T Strohmer… - Communications on Pure …, 2013 - Wiley Online Library
Suppose we wish to recover a signal\input amssym \font\abc=cmmib10\def\bi#1\abc#1\bix∈
\BbbC^n from m intensity measurements of the form \font\abc=cmmib10\def\bi#1\abc#1|⟨\bix …
\BbbC^n from m intensity measurements of the form \font\abc=cmmib10\def\bi#1\abc#1|⟨\bix …
Phase retrieval via matrix completion
This paper develops a novel framework for phase retrieval, a problem which arises in X-ray
crystallography, diffraction imaging, astronomical imaging, and many other applications. Our …
crystallography, diffraction imaging, astronomical imaging, and many other applications. Our …
[LIVRE][B] Regularization methods in Banach spaces
T Schuster, B Kaltenbacher, B Hofmann… - 2012 - books.google.com
Regularization methods aimed at finding stable approximate solutions are a necessary tool
to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of …
to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of …
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 …
A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
B Hofmann, B Kaltenbacher, C Poeschl… - Inverse …, 2007 - iopscience.iop.org
There exists a vast literature on convergence rates results for Tikhonov regularized
minimizers. We are concerned with the solution of nonlinear ill-posed operator equations …
minimizers. We are concerned with the solution of nonlinear ill-posed operator equations …
Phase retrieval with the transport-of-intensity equation. II. Orthogonal series solution for nonuniform illumination
In a previous paper [J. Opt. Soc. Am. A12, 1932 (1995)] we presented a method for phase
recovery with the transport-of-intensity equation by use of a series expansion. Here we …
recovery with the transport-of-intensity equation by use of a series expansion. Here we …
Measurement of Single Cell Refractive Index, Dry Mass, Volume, and Density<? format?> Using a Transillumination Microscope
Phase contrast microscopy has become ubiquitous in the field of biology, particularly in
qualitative investigations of cellular morphology. However, the use of quantitative phase …
qualitative investigations of cellular morphology. However, the use of quantitative phase …
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 …