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Forstner, A.* ; Krahmer, F.* ; Melnyk, O. ; Sissouno, N.

Well-conditioned ptychograpic imaging via lost subspace completion.

Inverse Probl. 36:105009 (2020)
Postprint DOI
Open Access Green
Ptychography, a special case of the phase retrieval problem, is a popular method in modern imaging. Its measurements are based on the shifts of a locally supported window function. In general, direct recovery of an object from such measurements is known to be an ill-posed problem. Although for some windows the conditioning can be controlled, for a number of important cases it is not possible, for instance for Gaussian windows. In this paper we develop a subspace completion algorithm, which enables stable reconstruction for a much wider choice of windows, including Gaussian windows. The combination with a regularization technique leads to improved conditioning and better noise robustness.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Phase Retrieval ; Ptychography ; Regularization; Phase Retrieval Algorithm; Reconstruction; Diffraction; Microscopy; Recovery
Language english
Publication Year 2020
HGF-reported in Year 2020
ISSN (print) / ISBN 0266-5611
e-ISSN 1361-6420
Journal Inverse Problems
Quellenangaben Volume: 36, Issue: 10, Pages: , Article Number: 105009 Supplement: ,
Publisher Institute of Physics Publishing (IOP)
Publishing Place Temple Circus, Temple Way, Bristol Bs1 6be, England
Reviewing status Peer reviewed
Institute(s) Strategy and Digitalization (DIG)
POF-Topic(s) 30205 - Bioengineering and Digital Health
Research field(s) Enabling and Novel Technologies
PSP Element(s) G-505900-001
Grants Helmholtz Association (project Ptychography 4.0)
German Science Foundation DFG
DOI 10.1088/1361-6420/abaf3a
WOS ID WOS:000577004200001
Scopus ID 85095804839
Erfassungsdatum 2020-10-30
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