Reduction of artifacts associated with missing data in coherent diffractive imaging

Coherent diffractive imaging experiments often collect incomplete datasets containing regions that lack any measurements. These regions can arise because of beamstops, gaps between detectors, or, in tomography experiments, a missing wedge of data due to a limited sample rotation range. We describe p...

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Main Authors: Erik Malm, Yuriy Chushkin
Format: Article
Language:English
Published: International Union of Crystallography 2025-01-01
Series:Journal of Synchrotron Radiation
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Online Access:https://journals.iucr.org/paper?S1600577524010956
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author Erik Malm
Yuriy Chushkin
author_facet Erik Malm
Yuriy Chushkin
author_sort Erik Malm
collection DOAJ
description Coherent diffractive imaging experiments often collect incomplete datasets containing regions that lack any measurements. These regions can arise because of beamstops, gaps between detectors, or, in tomography experiments, a missing wedge of data due to a limited sample rotation range. We describe practical and effective approaches to mitigate reconstruction artifacts by bringing uniqueness back to the phase retrieval problem. This is accomplished by looking for a solution that both matches the data and has minimum total variation, which essentially sets the unconstrained modes to reduce oscillations within the reconstruction. Two algorithms are described. The first algorithm assumes that there is an accurate estimate of the phase and can be used for pre- and post-processing. The second algorithm attempts to simultaneously minimize the total variation and recover the phase. We demonstrate the utility of these algorithms with numerical simulations and, experimentally, on a large, three-dimensional dataset.
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publisher International Union of Crystallography
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spelling doaj-art-648e090f845a4eedac6fead1522129f02025-01-07T14:26:38ZengInternational Union of CrystallographyJournal of Synchrotron Radiation1600-57752025-01-0132121021610.1107/S1600577524010956gui5001Reduction of artifacts associated with missing data in coherent diffractive imagingErik Malm0Yuriy Chushkin1MAX IV Laboratory, Lund University, 22100 Lund, SwedenESRF – The European Synchrotron, 71 Avenue des Martyrs, 38000 Grenoble, FranceCoherent diffractive imaging experiments often collect incomplete datasets containing regions that lack any measurements. These regions can arise because of beamstops, gaps between detectors, or, in tomography experiments, a missing wedge of data due to a limited sample rotation range. We describe practical and effective approaches to mitigate reconstruction artifacts by bringing uniqueness back to the phase retrieval problem. This is accomplished by looking for a solution that both matches the data and has minimum total variation, which essentially sets the unconstrained modes to reduce oscillations within the reconstruction. Two algorithms are described. The first algorithm assumes that there is an accurate estimate of the phase and can be used for pre- and post-processing. The second algorithm attempts to simultaneously minimize the total variation and recover the phase. We demonstrate the utility of these algorithms with numerical simulations and, experimentally, on a large, three-dimensional dataset.https://journals.iucr.org/paper?S1600577524010956phase retrievalcoherent diffractive imagingtomography
spellingShingle Erik Malm
Yuriy Chushkin
Reduction of artifacts associated with missing data in coherent diffractive imaging
Journal of Synchrotron Radiation
phase retrieval
coherent diffractive imaging
tomography
title Reduction of artifacts associated with missing data in coherent diffractive imaging
title_full Reduction of artifacts associated with missing data in coherent diffractive imaging
title_fullStr Reduction of artifacts associated with missing data in coherent diffractive imaging
title_full_unstemmed Reduction of artifacts associated with missing data in coherent diffractive imaging
title_short Reduction of artifacts associated with missing data in coherent diffractive imaging
title_sort reduction of artifacts associated with missing data in coherent diffractive imaging
topic phase retrieval
coherent diffractive imaging
tomography
url https://journals.iucr.org/paper?S1600577524010956
work_keys_str_mv AT erikmalm reductionofartifactsassociatedwithmissingdataincoherentdiffractiveimaging
AT yuriychushkin reductionofartifactsassociatedwithmissingdataincoherentdiffractiveimaging