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Iterative Phase Retrieval with Sparsity Constraints
Author(s) -
Loock Stefan,
Plonka Gerlind
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610406
Subject(s) - thresholding , phase retrieval , a priori and a posteriori , exploit , computer science , phase (matter) , field (mathematics) , algorithm , iterative method , image (mathematics) , artificial intelligence , mathematics , physics , mathematical analysis , fourier transform , philosophy , computer security , epistemology , quantum mechanics , pure mathematics
We consider the problem of iterative phase retrieval in near‐field X‐ray propagation imaging. Single‐distance measurements ask for strong a priori information about the specimen that are not always accessible, e.g. the specimen's support. We propose to exploit sparsity of real‐valued cartoon‐like images using soft‐thresholding of shearlet coefficients. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)