High efficiency image restoration using mirror images and adaptive Kalman filtering

摘要

The purpose of this paper is image restoration by means of fast parallel Kalman filtering . This algorithm was introduced byudBiemond et al. in 1983 [13] for image restoration . The problem is the appearance of ringing in the restored image. It resultsudfront the implicit assumption of rows periodicity, when FFT is applied on the image rows. Since left and right boundaries valuesudare différent, discontinuity points appear . In order to achieve boundary condition suitable for the ID horizontal FFT processing,udwe use in the algorithm a mirror image . We first give the description of this mirror image, and then we exploit in the algorithmudits horizontal properties of boundaries continuity and symmetry.udThen, an adaptive Kalman filtering is introduced to avoid non consistency of the Kalman gains factors on some frequencies, andudto reduce the remaining ringing.udFinally results are shown for some images and PSF .