Enviar artigo por via de e-mail Stabilized Hard Thresholding of Wavelet-Vaguelette Decomposition Coefficients in Reconstructing Tomographic Images Using Projections with Correlated Noise
- Autores: Shestakov O.V.1,2
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Afiliações:
- Faculty of Computational Mathematics and Cybernetics
- Institute of Informatics Problems, Federal Research Center Computer Science and Control
- Edição: Volume 43, Nº 3 (2019)
- Páginas: 133-137
- Seção: Article
- URL: https://journals.rcsi.science/0278-6419/article/view/176317
- DOI: https://doi.org/10.3103/S0278641919030063
- ID: 176317
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Resumo
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.
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O. Shestakov
Faculty of Computational Mathematics and Cybernetics; Institute of Informatics Problems, Federal Research Center Computer Science and Control
Autor responsável pela correspondência
Email: oshestakov@cs.msu.su
Rússia, Moscow, 119991; Moscow, 119333
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