Algebra i Analiz
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{BilFucTie15}
\by M.~Bildhauer, M.~Fuchs, C.~Tietz
\paper $C^{1,\alpha}$-interior regularity for minimizers of a~class of variational problems with linear growth related to image inpainting
\jour Algebra i Analiz
\yr 2015
\vol 27
\issue 3
\pages 51--65
\mathnet{http://mi.mathnet.ru/aa1434}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3570956}
\elib{https://elibrary.ru/item.asp?id=24849889}
\transl
\jour St. Petersburg Math. J.
\yr 2016
\vol 27
\issue 3
\pages 381--392
\crossref{https://doi.org/10.1090/spmj/1393}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000373930300003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84963529475}
Linking options:
  • https://www.mathnet.ru/eng/aa1434
  • https://www.mathnet.ru/eng/aa/v27/i3/p51
    • 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
    Statistics & downloads:
    Abstract page:336
    Full-text PDF :70
    References:46
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024