New two‐dimensional nonrecursive digital filters are proposed for noisy blurred images. A two‐dimensional nonrecursive filter is developed to minimize the mean‐squared error of the restored image. Here, the point spread function of the blurring system and statistics of the original image and noise are assumed to be given. A simplified version of the above filter is also developed and tested for restoring images blurred by a linear blurring system. As a result of their nonrecursive nature the proposed filters are stable and are determined by solving linear systems of equations. The blur by the point spread function and that due to degradation by noise are considered in the design of the filters. Images can be restored while the accompanying noise is suppressed. The filters herein are shown to be more effective if combined with noise‐removal filters. Illustrative examples are included to demonstrate the excellent quality of images restored by the proposed filters.
ASJC Scopus subject areas