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

A. Cherid, M. A. El-Gebeily, Donal O′Regan, Ravi Agarwal
2007 ANZIAM journal (Print)  
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
more » ... ith the Laplacian. 2000 Mathematics subject classification: primary 68U10; secondary 94A08.
doi:10.1017/s1446181100012761 fatcat:yl76qhqwo5a5fgeum7ub72kl6a