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Image recovery for blind polychromatic ptychography.
SIAM J. Imaging Sci. 16, 1308-1337 (2023)
Ptychography is a lensless imaging technique, which considers reconstruction from a set of far-field diffraction patterns obtained by illuminating small overlapping regions of the specimen. In many cases, the distribution of light inside the illuminated region is unknown and has to be estimated along with the object of interest. This problem is referred to as blind ptychography. While in ptychography the illumination is commonly assumed to have a point spectrum, in this paper we consider an alternative scenario with a nontrivial light spectrum known as blind polychromatic ptychography. First, we show that nonblind polychromatic ptychography can be seen as a recovery from quadratic measurements. Then, a reconstruction from such measurements can be performed by a variant of the Amplitude Flow algorithm, which has guaranteed sublinear convergence to a critical point. Second, we address recovery from blind polychromatic ptychographic measurements by devising an alternating minimization version of Amplitude Flow and showing that it converges to a critical point at a sublinear rate.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Alternating Minimization ; Blind ; Gradient Descent ; Phase Retrieval ; Ptychography; Electron Ptychography; Phase Retrieval; Least-squares; Optimization
ISSN (print) / ISBN
1936-4954
Journal
SIAM Journal on Imaging Sciences
Quellenangaben
Volume: 16,
Issue: 3,
Pages: 1308-1337
Publisher
SIAM
Publishing Place
Philadelphia, Pa.
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biological and Medical Imaging (IBMI)
Grants
Helmholtz Association