Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2011, Issue 9, Pages 32–42 (Mi vyuru172)  

Mathematical modeling

Stable methods for reconstruction of noisy images

T. I. Serezhnikova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
References:
Abstract: We consider the numerical reconstruction of noisy images by using two regularization algorithms. The basis of algorithms is Tikhonov regularization with two special nondifferentiable stabilizers. To solve the problem of a nonsmooth minimizing the proximal method and the subgradient process are involved. The results of calculations on the supercomputer «Uranus» are presented.
Keywords: numerical methods, algorithms, ill-posed problems, inverse problems, iterative regularization, nonsmooth optimization.
Received: 22.03.2011
Document Type: Article
UDC: 517.983
Language: Russian
Citation: T. I. Serezhnikova, “Stable methods for reconstruction of noisy images”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 9, 32–42
Citation in format AMSBIB
\Bibitem{Ser11}
\by T.~I.~Serezhnikova
\paper Stable methods for reconstruction of noisy images
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2011
\issue 9
\pages 32--42
\mathnet{http://mi.mathnet.ru/vyuru172}
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