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

A Cherid, M. A. El-Gebeily, Donal O'Regan, Ravi Agarwal

Abstract


A method based on the minimization of variation is presented for the identification of the 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.



DOI: http://dx.doi.org/10.21914/anziamj.v49i0.279



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.