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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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter Phase Retrieval ; Ptychography ; Regularization; Phase Retrieval Algorithm; Reconstruction; Diffraction; Microscopy; Recovery
ISSN (print) / ISBN 0266-5611
e-ISSN 1361-6420
Zeitschrift Inverse Problems
Quellenangaben Band: 36, Heft: 10, Seiten: , Artikelnummer: 105009 Supplement: ,
Verlag Institute of Physics Publishing (IOP)
Verlagsort Temple Circus, Temple Way, Bristol Bs1 6be, England
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Strategy and Digitalization (DIG)
Förderungen Helmholtz Association (project Ptychography 4.0)
German Science Foundation DFG