RAS PhysicsКристаллография Crystallography Reports

  • ISSN (Print) 0023-4761
  • ISSN (Online) 3034-5510

X-RAY DIFFRACTION TOMOGRAPHY: IMAGE FILTERING BY SINGULAR VALUE DECOMPOSITION AND 1D SMOOTHING WHITTAKER-EILERS METHODS

PII
S0023476125040016-1
DOI
10.31857/S0023476125040016
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 70 / Issue number 4
Pages
545-551
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 f(r-r), (h - diffraction vector, r - 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.
Keywords
Date of publication
18.03.2025
Year of publication
2025
Number of purchasers
0
Views
14

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