Email this article Stabilized Hard Thresholding of Wavelet-Vaguelette Decomposition Coefficients in Reconstructing Tomographic Images Using Projections with Correlated Noise
- Authors: Shestakov O.V.1,2
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics
- Institute of Informatics Problems, Federal Research Center Computer Science and Control
- Issue: Vol 43, No 3 (2019)
- Pages: 133-137
- Section: Article
- URL: https://journals.rcsi.science/0278-6419/article/view/176317
- DOI: https://doi.org/10.3103/S0278641919030063
- ID: 176317
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Abstract
A way of reconstructing tomographic images based on wavelet-vaguelette decomposition is considered for a model with correlated additive noise. The asymptotic properties of an unbiased estimator are studied for the mean-square risk with stabilized hard thresholding of the coefficients of decomposition. It is shown that under certain conditions, this estimator is strongly consistent and asymptotically normal.
About the authors
O. V. Shestakov
Faculty of Computational Mathematics and Cybernetics; Institute of Informatics Problems, Federal Research Center Computer Science and Control
Author for correspondence.
Email: oshestakov@cs.msu.su
Russian Federation, Moscow, 119991; Moscow, 119333
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