Maximum a posteriori estimation of crystallographic phases in X-ray difraction tomography

Doʇa Gürsoy*, Tekin Biçer, Jonathan D. Almer, Raj Kettimuthu, Stuart R Stock, Francesco De Carlo

*Corresponding author for this work

Research output: Contribution to journalArticle

10 Citations (Scopus)

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.

Original languageEnglish (US)
Article number20140392
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume373
Issue number2043
DOIs
StatePublished - Jun 13 2015

Fingerprint

Maximum a Posteriori Estimation
X-ray Tomography
Polycrystalline materials
Crystal orientation
Spatial distribution
Tomography
Data acquisition
Photons
tomography
vertebrae
X ray diffraction
X rays
Aliasing
Maximum a Posteriori
Data Acquisition
Spatial Distribution
X-ray Diffraction
continuity
data acquisition
artifacts

Keywords

  • Biomineralization
  • Crystalline phases
  • Difraction tomography
  • Image reconstruction
  • Maximum a posteriori estimation

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

Gürsoy, Doʇa ; Biçer, Tekin ; Almer, Jonathan D. ; Kettimuthu, Raj ; Stock, Stuart R ; De Carlo, Francesco. / Maximum a posteriori estimation of crystallographic phases in X-ray difraction tomography. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2015 ; Vol. 373, No. 2043.
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Maximum a posteriori estimation of crystallographic phases in X-ray difraction tomography. / Gürsoy, Doʇa; Biçer, Tekin; Almer, Jonathan D.; Kettimuthu, Raj; Stock, Stuart R; De Carlo, Francesco.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 373, No. 2043, 20140392, 13.06.2015.

Research output: Contribution to journalArticle

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AU - Gürsoy, Doʇa

AU - Biçer, Tekin

AU - Almer, Jonathan D.

AU - Kettimuthu, Raj

AU - Stock, Stuart R

AU - De Carlo, Francesco

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