Аннотация:
A modification of the total variation image inpainting method is investigated. By using DeGiorgi type arguments, the partial regularity results established previously are improved to C1,αC1,α interior differentiability of solutions of this new variational problem.
Образец цитирования:
M. Bildhauer, M. Fuchs, C. Tietz, “C1,αC1,α-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting”, Алгебра и анализ, 27:3 (2015), 51–65; St. Petersburg Math. J., 27:3 (2016), 381–392
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\paper $C^{1,\alpha}$-interior regularity for minimizers of a~class of variational problems with linear growth related to image inpainting
\jour Алгебра и анализ
\yr 2015
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\pages 51--65
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\jour St. Petersburg Math. J.
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\vol 27
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa1434
https://www.mathnet.ru/rus/aa/v27/i3/p51
Эта публикация цитируется в следующих 7 статьяx:
M. Fuchs, J. Weickert, “Iterative TV-Regularization of Grey-Scale Images”, J Math Sci, 242:2 (2019), 323
M. Bildhauer, M. Fuchs, J. Mueller, X. Zhong, “On the local boundedness of generalized minimizers of variational problems with linear growth”, Ann. Mat. Pura Appl., 197:4 (2018), 1117–1129
M. Fuchs, J. Mueller, Ch. Tietz, J. Weickert, “Convex regularization of multi-channel images based on variants of the TV-model”, Complex Var. Elliptic Equ., 63:7–8, SI (2018), 976–995
M. Fuchs, J. Müller, “A Remark on Denoising of Greyscale Images Using Energy Densities with Varying Growth Rates”, J Math Sci, 228:6 (2018), 705
M. Fuchs, J. Müller, C. Tietz, “Signal recovery via TV-type energies”, Алгебра и анализ, 29:4 (2017), 159–195; St. Petersburg Math. J., 29:4 (2018), 657–681
M. Bildhauer, M. Fuchs, J. Weickert, “An alternative approach towards the higher order denoising of images. Analytical aspects”, Краевые задачи математической физики и смежные вопросы теории функций. 45, Посвящается юбилею Григория Александровича СЕРЕГИНА, Зап. научн. сем. ПОМИ, 444, ПОМИ, СПб., 2016, 47–88; J. Math. Sci. (N. Y.), 224:3 (2017), 414–441
M. Bildhauer, M. Fuchs, J. Weickert, “Denoising and Inpainting of Images Using Tv-Type Energies: Theoretical and Computational Aspects”, J Math Sci, 219:6 (2016), 899
Цитирование в формате AMSBIB
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