Image Restoration via Wiener Filtering in the Frequency Domain

In this paper, first, the performance of the Wiener filter in the frequency domain for image restoration is compared with that in the space domain on images degraded by white noise. After finding that the Wiener filter in the frequency domain is more effective than that in the space domain in an ideal case, power spectrum estimation methods for the Wiener filter in the frequency domain are discussed. Three approaches are considered; frequency band division processing (FBDP), modified FBDP and averaging high frequency components (AHFC). The performances of the Wiener filter with the three approaches for power spectrum estimation are investigated through computer simulation experiments. It is shown that the frequency domain Wiener with the modified FBDP provides a superior performance relative to that with the FBDP and AHFC.