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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)
Verlagsversion 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
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
Förderungen Helmholtz Association (project Ptychography 4.0)
German Science Foundation DFG