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Title: Maximum a posteriori estimation of crystallographic phases in X-ray diffraction tomography

Abstract

A maximum a posteriori approach is proposed for X-ray diffraction tomography for reconstructing three-dimensional spatial distribution of crystallographic phases and orientations of polycrystalline materials. The approach maximizes the a posteriori density which includes a Poisson log-likelihood and an a priori term that reinforces expected solution properties such as smoothness or local continuity. The reconstruction method is validated with experimental data acquired from a section of the spinous process of a porcine vertebra collected at the 1-ID-C beamline of the Advanced Photon Source, at Argonne National Laboratory. The reconstruction results show significant improvement in the reduction of aliasing and streaking artefacts, and improved robustness to noise and undersampling compared to conventional analytical inversion approaches. The approach has the potential to reduce data acquisition times, and significantly improve beamtime efficiency.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science - Office of Basic Energy Sciences - Scientific User Facilities Division
OSTI Identifier:
1392084
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences
Additional Journal Information:
Journal Volume: 373; Journal Issue: 2043; Journal ID: ISSN 1364-503X
Publisher:
The Royal Society Publishing
Country of Publication:
United States
Language:
English
Subject:
Biomineralization; Crystalline phases; Diffraction tomography; Image reconstruction; MAP estimation

Citation Formats

Gursoy, D., Bicer, T., Almer, J. D., Kettimuthu, R., Stock, S. R., and De Carlo, F. Maximum a posteriori estimation of crystallographic phases in X-ray diffraction tomography. United States: N. p., 2015. Web. doi:10.1098/rsta.2014.0392.
Gursoy, D., Bicer, T., Almer, J. D., Kettimuthu, R., Stock, S. R., & De Carlo, F. Maximum a posteriori estimation of crystallographic phases in X-ray diffraction tomography. United States. doi:10.1098/rsta.2014.0392.
Gursoy, D., Bicer, T., Almer, J. D., Kettimuthu, R., Stock, S. R., and De Carlo, F. Mon . "Maximum a posteriori estimation of crystallographic phases in X-ray diffraction tomography". United States. doi:10.1098/rsta.2014.0392.
@article{osti_1392084,
title = {Maximum a posteriori estimation of crystallographic phases in X-ray diffraction tomography},
author = {Gursoy, D. and Bicer, T. and Almer, J. D. and Kettimuthu, R. and Stock, S. R. and De Carlo, F.},
abstractNote = {A maximum a posteriori approach is proposed for X-ray diffraction tomography for reconstructing three-dimensional spatial distribution of crystallographic phases and orientations of polycrystalline materials. The approach maximizes the a posteriori density which includes a Poisson log-likelihood and an a priori term that reinforces expected solution properties such as smoothness or local continuity. The reconstruction method is validated with experimental data acquired from a section of the spinous process of a porcine vertebra collected at the 1-ID-C beamline of the Advanced Photon Source, at Argonne National Laboratory. The reconstruction results show significant improvement in the reduction of aliasing and streaking artefacts, and improved robustness to noise and undersampling compared to conventional analytical inversion approaches. The approach has the potential to reduce data acquisition times, and significantly improve beamtime efficiency.},
doi = {10.1098/rsta.2014.0392},
journal = {Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences},
issn = {1364-503X},
number = 2043,
volume = 373,
place = {United States},
year = {2015},
month = {5}
}

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