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Avtomat. i Telemekh., 2004, Issue 2, Pages 126–135
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This article is cited in 6 scientific papers (total in 7 papers)
Optimization od Dynamic Systems
Two-stage approximation of nonsmooth solutions and restoration of noised images
V. V. Vasin, T. I. Serezhnikova
Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Abstract:
Papers on the Tikhonov Regularization with a nondifferentiable stabilizer are briefly reviewed and the results obtained by the author on two-stage regular approximation of nonsmooth solutions of ill-defined problems are described. The performance of the method is illustrated by an example on the restoration of a noised image.
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Automation and Remote Control, 2004, 65:2, 270–279
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Presented by the member of Editorial Board: À. È. Êèáçóí
Received: 27.06.2003
Citation:
V. V. Vasin, T. I. Serezhnikova, “Two-stage approximation of nonsmooth solutions and restoration of noised images”, Avtomat. i Telemekh., 2004, no. 2, 126–135; Autom. Remote Control, 65:2 (2004), 270–279
Citation in format AMSBIB
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Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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V. V. Vasin, “Approximation of nonsmooth solutions of linear ill-posed problems”, Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S247–S262
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A. I. Korotkii, D. O. Mikhailova, “Vosstanovlenie upravlenii v parabolicheskikh sistemakh metodom Tikhonova s negladkimi stabilizatorami”, Tr. IMM UrO RAN, 16, no. 4, 2010, 211–227
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Vasin V.V., “Inverse Problems with A Priori Information”, Optimization and Regularization for Computational Inverse Problems and Applications, 2010, 35–64
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T. I. Serezhnikova, “Ustoichivye metody vosstanovleniya zashumlennykh izobrazhenii”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 2011, no. 9, 32–42
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“Vladimir Vasil'evich Vasin. On the occasion of his 70th birsday”, Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 1–12
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A. I. Korotkii, D. O. Mikhailova, “Reconstruction of boundary controls in parabolic systems”, Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 98–118
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A. I. Korotkii, E. I. Gribanova, “Vosstanovlenie granichnykh upravlenii v giperbolicheskikh sistemakh”, Tr. IMM UrO RAN, 18, no. 2, 2012, 154–169
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