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X-ray diffraction tomography: image filtering by singular value decomposition and 1D smoothing Whittaker-Eilers methods
- Authors: Chukhovskii F.N.1, Konarev P.V.1, Volkov V.V.1
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Affiliations:
- Shubnikov Institute of Crystallography of the Kurchatov Complex Crystallography and Photonics of the NRC “Kurchatov Institute”
- Issue: Vol 70, No 4 (2025)
- Pages: 545-551
- Section: ДИФРАКЦИЯ И РАССЕЯНИЕ ИОНИЗИРУЮЩИХ ИЗЛУЧЕНИЙ
- URL: https://journals.rcsi.science/0023-4761/article/view/306249
- DOI: https://doi.org/10.7868/S3034551025040016
- EDN: https://elibrary.ru/jevjoa
- ID: 306249
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Abstract
Digital processing of the 2D noisy X-ray diffraction images (2D-XDI) of a single point defect in Si(111) crystal, registered at the level of dispersion of statistical Gaussian noise of the detector using filtering methods such as singular value decomposition and 1D-line-by-line smoothing of test 2D-XDIs, is carried out. The efficiency of digital filtering of 2D-XDI is evaluated and analyzed by means of control parameter FOM (figure-of-merit) value of reconstruction of the displacement field function of a point defect of Coulomb type fh(r–r0), (h – diffraction vector, r0 – radius-vector of the defect position in the sample). It is shown that the filtering technique using the singular value decomposition of 2D-XDI works significantly better than the 1D linear-by-line smoothing method of 2D-XDI, which, apparently, in relation to our problem requires further research on its improvement.
About the authors
F. N. Chukhovskii
Shubnikov Institute of Crystallography of the Kurchatov Complex Crystallography and Photonics of the NRC “Kurchatov Institute”
Email: f_chukhov@yahoo.ca
Russian Federation, Moscow, 119333
P. V. Konarev
Shubnikov Institute of Crystallography of the Kurchatov Complex Crystallography and Photonics of the NRC “Kurchatov Institute”
Email: f_chukhov@yahoo.ca
Russian Federation, Moscow, 119333
V. V. Volkov
Shubnikov Institute of Crystallography of the Kurchatov Complex Crystallography and Photonics of the NRC “Kurchatov Institute”
Author for correspondence.
Email: f_chukhov@yahoo.ca
Russian Federation, Moscow, 119333
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In the print version, the article was published under the DOI: 10.31857/S0023476125040016