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Algebra i Analiz, 2015, Volume 27, Issue 3, Pages 51–65 (Mi aa1434)  
This article is cited in 7 scientific papers (total in 7 papers)

Research Papers

$C^{1,\alpha}$-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting

M. Bildhauer, M. Fuchs, C. Tietz

Department of Mathematics, Saarland University, P.O. Box 151150, 66041 Saarbrücken, Germany
Full-text PDF (237 kB) Citations (7)
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Abstract: 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 $C^{1,\alpha}$ interior differentiability of solutions of this new variational problem.
Keywords: image inpainting, variational method, TV-regularization.
Received: 20.11.2014
English version:
St. Petersburg Mathematical Journal, 2016, Volume 27, Issue 3, Pages 381–392
DOI: https://doi.org/10.1090/spmj/1393
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. Bildhauer, M. Fuchs, C. Tietz, “$C^{1,\alpha}$-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting”, Algebra i Analiz, 27:3 (2015), 51–65; St. Petersburg Math. J., 27:3 (2016), 381–392
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:320
    Full-text PDF :64
    References:36
    First page:15
     
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