Reconstruction of an object from diffraction intensities averaged over multiple object clusters

J. P J Chen; R. D. Arnal; A. J. Morgan; R. J. Bean; K. R. Beyerlein; H. N. Chapman; P. J. Bones; R. P. Millane; Richard Kirian

doi:10.1088/2040-8978/18/11/114003

Reconstruction of an object from diffraction intensities averaged over multiple object clusters

J. P J Chen, R. D. Arnal, A. J. Morgan, R. J. Bean, K. R. Beyerlein, H. N. Chapman, P. J. Bones, R. P. Millane, Richard Kirian

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10 Scopus citations

Abstract

A projection operator is derived for use in iterative phase retrieval algorithms when the Fourier intensity data is an average over the intensity from multiple clusters of identical objects. The projection operator is a generalization of the magnitude projection for conventional phase retrieval for a single object, and is applicable when the relative orientations and positions of the objects within the clusters are known. Simulations demonstrate that an iterative projection algorithm equipped with this new projection operator can successfully reconstruct an object from the averaged Fourier intensities from multiple clusters, each containing multiple copies of the object.

Original language	English (US)
Article number	114003
Journal	Journal of Optics (United Kingdom)
Volume	18
Issue number	11
DOIs	https://doi.org/10.1088/2040-8978/18/11/114003
State	Published - Nov 2016

Keywords

crystallography
diffractive imaging
iterative projection algorithms
phase retrieval

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics

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10.1088/2040-8978/18/11/114003

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@article{290f1351331c4acd813bef0a07f33cdf,

title = "Reconstruction of an object from diffraction intensities averaged over multiple object clusters",

abstract = "A projection operator is derived for use in iterative phase retrieval algorithms when the Fourier intensity data is an average over the intensity from multiple clusters of identical objects. The projection operator is a generalization of the magnitude projection for conventional phase retrieval for a single object, and is applicable when the relative orientations and positions of the objects within the clusters are known. Simulations demonstrate that an iterative projection algorithm equipped with this new projection operator can successfully reconstruct an object from the averaged Fourier intensities from multiple clusters, each containing multiple copies of the object.",

keywords = "crystallography, diffractive imaging, iterative projection algorithms, phase retrieval",

author = "Chen, {J. P J} and Arnal, {R. D.} and Morgan, {A. J.} and Bean, {R. J.} and Beyerlein, {K. R.} and Chapman, {H. N.} and Bones, {P. J.} and Millane, {R. P.} and Richard Kirian",

note = "Funding Information: We thank Dr Thomas White for important discussions regarding space group symmetry and Drs Nadia Zatsepin, Kevin Schmidt and Kartik Ayyer for lively exchanges of ideas. RAK acknowledges support from NSF STC Award (1231306). RPM acknowledges support from a James Cook Research Fellowship and a Marsden grant, and RDA acknowledges the award of a University of Canterbury College of Engineering postgraduate scholarship. Publisher Copyright: {\textcopyright} 2016 IOP Publishing Ltd.",

year = "2016",

month = nov,

doi = "10.1088/2040-8978/18/11/114003",

language = "English (US)",

volume = "18",

journal = "Journal of Optics (United Kingdom)",

issn = "2040-8978",

publisher = "IOP Publishing Ltd.",

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T1 - Reconstruction of an object from diffraction intensities averaged over multiple object clusters

AU - Chen, J. P J

AU - Arnal, R. D.

AU - Morgan, A. J.

AU - Bean, R. J.

AU - Beyerlein, K. R.

AU - Chapman, H. N.

AU - Bones, P. J.

AU - Millane, R. P.

AU - Kirian, Richard

N1 - Funding Information: We thank Dr Thomas White for important discussions regarding space group symmetry and Drs Nadia Zatsepin, Kevin Schmidt and Kartik Ayyer for lively exchanges of ideas. RAK acknowledges support from NSF STC Award (1231306). RPM acknowledges support from a James Cook Research Fellowship and a Marsden grant, and RDA acknowledges the award of a University of Canterbury College of Engineering postgraduate scholarship. Publisher Copyright: © 2016 IOP Publishing Ltd.

PY - 2016/11

Y1 - 2016/11

N2 - A projection operator is derived for use in iterative phase retrieval algorithms when the Fourier intensity data is an average over the intensity from multiple clusters of identical objects. The projection operator is a generalization of the magnitude projection for conventional phase retrieval for a single object, and is applicable when the relative orientations and positions of the objects within the clusters are known. Simulations demonstrate that an iterative projection algorithm equipped with this new projection operator can successfully reconstruct an object from the averaged Fourier intensities from multiple clusters, each containing multiple copies of the object.

AB - A projection operator is derived for use in iterative phase retrieval algorithms when the Fourier intensity data is an average over the intensity from multiple clusters of identical objects. The projection operator is a generalization of the magnitude projection for conventional phase retrieval for a single object, and is applicable when the relative orientations and positions of the objects within the clusters are known. Simulations demonstrate that an iterative projection algorithm equipped with this new projection operator can successfully reconstruct an object from the averaged Fourier intensities from multiple clusters, each containing multiple copies of the object.

KW - crystallography

KW - diffractive imaging

KW - iterative projection algorithms

KW - phase retrieval

UR - http://www.scopus.com/inward/record.url?scp=84992753649&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84992753649&partnerID=8YFLogxK

U2 - 10.1088/2040-8978/18/11/114003

DO - 10.1088/2040-8978/18/11/114003

M3 - Article

AN - SCOPUS:84992753649

SN - 2040-8978

VL - 18

JO - Journal of Optics (United Kingdom)

JF - Journal of Optics (United Kingdom)

IS - 11

M1 - 114003

ER -

Reconstruction of an object from diffraction intensities averaged over multiple object clusters

Abstract

Keywords

ASJC Scopus subject areas

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