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1 results

  • Deblurring and denoising of images with minimization of variation and negative norms

  • A. Cherid, M. A. El-Gebeily, Donal O′Regan, Ravi Agarwal
  • Journal:
    The ANZIAM Journal / Volume 49 / Issue 2 / October 2007
    Published online by Cambridge University Press:
    17 February 2009, pp. 171-185
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  • A method based on the minimization of variation is presented for the identification of a completely unknown blur operator. We assume the knowledge of a blurred image and its original version. The class of blurring operators is identified in the class of compact operators. A variational method with negative norms is then used for the restoration of a blurred and noised image. The restoration method works for a wide class of blurring operators and we do not assume that the blur operator commutes with the Laplacian.