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JOURNALS // Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie // Archive

Vestnik YuUrGU. Ser. Mat. Model. Progr., 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

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.

UDC: 517.983

Received: 22.03.2011



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