• DocumentCode
    1137885
  • Title

    Minimizing the total variation under a general convex constraint for image restoration

  • Author

    Malgouyres, François

  • Author_Institution
    LAGA, Univ. Paris, Villetaneuse, France
  • Volume
    11
  • Issue
    12
  • fYear
    2002
  • fDate
    12/1/2002 12:00:00 AM
  • Firstpage
    1450
  • Lastpage
    1456
  • Abstract
    We present a general framework for image restoration; despite its simplicity, certain variational and certain wavelet approaches can be formulated within this framework. This permits the construction of a natural model, with only one parameter, which has the advantages of both approaches. We give a mathematical analysis of this model, describe our algorithm and illustrate this by some experiments.
  • Keywords
    Gaussian noise; image denoising; image restoration; variational techniques; wavelet transforms; Gaussian noise; deconvolution; general convex constraint; image denoising; image restoration; mathematical analysis; total variation minimization; variational approach; wavelet approach; Deconvolution; Dictionaries; Focusing; Gaussian noise; Image restoration; Mathematical analysis; Mathematical model; Maximum a posteriori estimation; Signal restoration; Wavelet packets;
  • fLanguage
    English
  • Journal_Title
    Image Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7149
  • Type

    jour

  • DOI
    10.1109/TIP.2002.806241
  • Filename
    1176933