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Application of an expectation maximization method to the reconstruction of X-ray-tube spectra from transmission data

Endrizzi, M; Delogu, P; Oliva, P; (2014) Application of an expectation maximization method to the reconstruction of X-ray-tube spectra from transmission data. Spectrochimica Acta Part B: Atomic Spectroscopy , 102 pp. 42-47. 10.1016/j.sab.2014.10.009. Green open access

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Abstract

An expectation maximization method is applied to the reconstruction of X-ray tube spectra from transmission measurements in the energy range 7 − 40 keV. A semiconductor single-photon counting detector, ionization chambers and a scintillator-based detector are used for the experimental measurement of the transmission. The number of iterations required to reach an approximate solution is estimated on the basis of the measurement error, according to the discrepancy principle. The effectiveness of the stopping rule is studied on simulated data and validated with experiments. The quality of the reconstruction depends on the information available on the source itself and the possibility to add this knowledge to the solution process is investigated. The method can produce good approximations provided that the amount of noise in the data can be estimated.

Type: Article
Title: Application of an expectation maximization method to the reconstruction of X-ray-tube spectra from transmission data
Location: ESRF, Grenoble, FRANCE
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.sab.2014.10.009
Publisher version: http://dx.doi.org/10.1016/j.sab.2014.10.009
Language: English
Additional information: Copyright © 2014 Elsevier B.V. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Keywords: X-ray tube spectra; Transmission measurement; Inverse problem
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1497348
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