H/sub ∞/ deconvolution filter design and its application in image restoration

Abstract

This paper addresses the use of H/sub /spl infin// filtering to deconvolution, in particular, to the problem of image restoration. The proposed H/sub /spl infin// deconvolution filter has some advantages in the image restoration such as it can deal with unknown boundary problem and spatially varying blurs. The H/sub /spl infin// filter is compared with the inverse Wiener filter and a regularized restoration. The experimental results show that the H/sub /spl infin// filter deals with the unknown boundary problem better than the Wiener filter. Compared with the regularization method, it gives a sharper restored image, especially, when the original image contains many details.