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

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


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.


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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.