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Phase retrieval algorithms: a comparison

by J. R. Fienup - Appl. Opt , 1982
"... Iterative algorithms for phase retrieval from intensity data are compared to gradient search methods. Both the problem of phase retrieval from two intensity measurements (in electron microscopy or wave front sens-ing) and the problem of phase retrieval from a single intensity measurement plus a non- ..."
Abstract - Cited by 294 (15 self) - Add to MetaCart
Iterative algorithms for phase retrieval from intensity data are compared to gradient search methods. Both the problem of phase retrieval from two intensity measurements (in electron microscopy or wave front sens-ing) and the problem of phase retrieval from a single intensity measurement plus a non

Phase-retrieval

by unknown authors
"... algorithms for a complicated optical system ..."
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algorithms for a complicated optical system

Phase retrieval with polarization

by Boris Alexeev, Afonso S. Bandeira, Matthew Fickus, Dustin G. Mixon - SIAM J. ON IMAGING SCI , 2013
"... In many areas of imaging science, it is difficult to measure the phase of linear measurements. As such, one often wishes to reconstruct a signal from intensity measurements, that is, perform phase retrieval. In this paper, we provide a novel measurement design which is inspired by interferometry and ..."
Abstract - Cited by 22 (5 self) - Add to MetaCart
In many areas of imaging science, it is difficult to measure the phase of linear measurements. As such, one often wishes to reconstruct a signal from intensity measurements, that is, perform phase retrieval. In this paper, we provide a novel measurement design which is inspired by interferometry

Phase retrieval by iterated projections

by Veit Elser - J. Opt. Soc. Amer. A , 2003
"... Several strategies in phase retrieval are unified by an iterative “difference map” constructed from a pair of elementary projections and a single real parameter β. For the standard application in optics, where the two projections implement Fourier modulus and object support constraints respectively, ..."
Abstract - Cited by 29 (2 self) - Add to MetaCart
Several strategies in phase retrieval are unified by an iterative “difference map” constructed from a pair of elementary projections and a single real parameter β. For the standard application in optics, where the two projections implement Fourier modulus and object support constraints respectively

Compressed Sensing Phase Retrieval

by Albert Fannjiang, Wenjing Liao
"... Abstract- Theory of absolute uniqueness for phase retrieval with random illumination is presented. Suitable random illumination eliminates all sources of ambiguity, trivial and nontrivial. As a result, random-illumination-aided phase retrieval algorithms can accurately recover objects with a below-N ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
Abstract- Theory of absolute uniqueness for phase retrieval with random illumination is presented. Suitable random illumination eliminates all sources of ambiguity, trivial and nontrivial. As a result, random-illumination-aided phase retrieval algorithms can accurately recover objects with a below

Phase Retrieval with Application to Optical Imaging

by Yoav Shechtman, Yonina C. Eldar, Oren Cohen, Henry N. Chapman, Jianwei Miao, Mordechai Segev , 2015
"... The problem of phase retrieval, i.e., the recovery of a function given the magnitude of its ..."
Abstract - Cited by 18 (6 self) - Add to MetaCart
The problem of phase retrieval, i.e., the recovery of a function given the magnitude of its

Phase Retrieval for Imaging Problems

by Fajwel Fogel, Alexandre D’aspremont
"... ABSTRACT. We study convex relaxation algorithms for phase retrieval on imaging problems. We show that structural assumptions on the signal and the observations, such as sparsity, smoothness or positivity, can be exploited to both speed-up convergence and improve recovery performance. We detail exper ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
ABSTRACT. We study convex relaxation algorithms for phase retrieval on imaging problems. We show that structural assumptions on the signal and the observations, such as sparsity, smoothness or positivity, can be exploited to both speed-up convergence and improve recovery performance. We detail

Phase Retrieval Problems

by Manfred Tasche
"... Phase retrieval problems arise in various fields of applied physics and engineering, such as crystallography, electron microscopy, astronomy, and optics (see [11, 12, 17, 23, 25]). An abstract phase retrieval problem is stated as follows: Find a well–localized smooth complex-valued function f for gi ..."
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Phase retrieval problems arise in various fields of applied physics and engineering, such as crystallography, electron microscopy, astronomy, and optics (see [11, 12, 17, 23, 25]). An abstract phase retrieval problem is stated as follows: Find a well–localized smooth complex-valued function f

Stability of Phase Retrievable Frames

by Radu Balan - proceedings of SPIE 2013
"... In this paper we study the property of phase retrievability by redundant sysems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilbert space of dimension n allows for vector reconstruction from magnitudes of its coefficients, then th ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
In this paper we study the property of phase retrievability by redundant sysems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilbert space of dimension n allows for vector reconstruction from magnitudes of its coefficients

Phase retrieval for optical metrology

by Giancarlo Pedrini, Ahmad Faridian, Alok Kumar Singh, Wolfgang Osten
"... Phase retrieval methods have useful applications for optical imaging, metrology and 3D reconstruction. One such technique to recover the phase of the object wavefront is digital holography. In this paper we will show applications of digital holographic techniques for the time resolved measurement of ..."
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Phase retrieval methods have useful applications for optical imaging, metrology and 3D reconstruction. One such technique to recover the phase of the object wavefront is digital holography. In this paper we will show applications of digital holographic techniques for the time resolved measurement
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