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Well-conditioned ptychograpic imaging via lost subspace completion.
Inverse Probl. 36:105009 (2020)
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
ISSN (print) / ISBN
0266-5611
e-ISSN
1361-6420
Journal
Inverse Problems
Quellenangaben
Volume: 36,
Issue: 10,
Article Number: 105009
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)
Grants
Helmholtz Association (project Ptychography 4.0)
German Science Foundation DFG
German Science Foundation DFG