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Reduction of artifacts associated with missing data in coherent diffractive imaging

Malm, Erik LU and Chushkin, Yuriy (2025) In Journal of Synchrotron Radiation 32. p.210-216
Abstract
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... (More)
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. (Less)
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Phase retrieval, Coherent diffractive imaging, Tomography, X-ray
in
Journal of Synchrotron Radiation
volume
32
pages
7 pages
publisher
International Union of Crystallography
external identifiers
  • pmid:39700021
  • scopus:85214457303
ISSN
1600-5775
DOI
10.1107/S1600577524010956
language
English
LU publication?
yes
id
bf81addb-f9a4-4466-94bd-cef953b00798
date added to LUP
2025-03-13 09:27:06
date last changed
2025-04-04 14:51:36
@article{bf81addb-f9a4-4466-94bd-cef953b00798,
  abstract     = {{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.}},
  author       = {{Malm, Erik and Chushkin, Yuriy}},
  issn         = {{1600-5775}},
  keywords     = {{Phase retrieval; Coherent diffractive imaging; Tomography; X-ray}},
  language     = {{eng}},
  pages        = {{210--216}},
  publisher    = {{International Union of Crystallography}},
  series       = {{Journal of Synchrotron Radiation}},
  title        = {{Reduction of artifacts associated with missing data in coherent diffractive imaging}},
  url          = {{http://dx.doi.org/10.1107/S1600577524010956}},
  doi          = {{10.1107/S1600577524010956}},
  volume       = {{32}},
  year         = {{2025}},
}