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. 
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/
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