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

• Autores: A. Cherid, M. El-Gebeily, Donal O'Regan, Ravi P. Agarwal
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 49, Nº 2, 2007, págs. 171-185
• Idioma: inglés
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• Resumen

  • 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.