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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2011, Issue 9, Pages 32–42
(Mi vyuru172)
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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
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
Citation:
T. I. Serezhnikova, “Stable methods for reconstruction of noisy images”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 9, 32–42
Linking options:
https://www.mathnet.ru/eng/vyuru172 https://www.mathnet.ru/eng/vyuru/y2011/i9/p32
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