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A direct solver for the phase retrieval problem in ptychographic imaging.
Math. Comput. Simul. 176, 292-300 (2020)
Measurements achieved with ptychographic imaging are a special case of diffraction measurements. They are generated by illuminating small parts of a sample with, e.g., a focused X-ray beam. By shifting the sample, a set of far-field diffraction patterns of the whole sample is then obtained. From a mathematical point of view those measurements are the squared modulus of the windowed Fourier transform of the sample. Thus, we have a phase retrieval problem for local Fourier measurements. A direct solver for this problem was introduced by Iwen, Viswanathan and Wang in 2016 and improved by Iwen, Preskitt, Saab and Viswanathan in 2018. Motivated by the applied perspective of ptychographic imaging, we present a generalization of this method and compare the different versions in numerical experiments. The new method proposed herein turns out to be more stable, particularly in the case of missing data. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
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1.620
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4
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Phase Retrieval ; Ptychography ; Image Reconstruction ; Diffraction Imaging; Diffraction; Microscopy; Algorithm; Recovery
Language
english
Publication Year
2020
Prepublished in Year
2019
HGF-reported in Year
2019
ISSN (print) / ISBN
0378-4754
e-ISSN
0378-4754
Quellenangaben
Volume: 176,
Pages: 292-300
Publisher
Elsevier
Publishing Place
Amsterdam [u.a.]
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)
POF-Topic(s)
30505 - New Technologies for Biomedical Discoveries
Research field(s)
Enabling and Novel Technologies
PSP Element(s)
G-503890-001
WOS ID
WOS:000534533200021
Scopus ID
85076237585
Erfassungsdatum
2020-01-20