Geodesic
Stable methods for reconstruction of noisy images
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 9 (2011), pp. 32-42

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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. 
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     author = {T. I. Serezhnikova},
     title = {Stable methods for reconstruction of noisy images},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {32--42},
     publisher = {mathdoc},
     number = {9},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2011_9_a3/}
}
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T. I. Serezhnikova. Stable methods for reconstruction of noisy images. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 9 (2011), pp. 32-42. http://geodesic.mathdoc.fr/item/VYURU_2011_9_a3/