The fractional Fourier transform is the powerful tool for time-variant signal analysis. For space-variant degradation and non-stationary processes the filtering in fractional Fourier domains permits reduction of the error compared with ordinary Fourier domain filtering. In this paper the concept of filtering in fractional Fourier domains is applied to the problem of estimating degraded images. Efficient digital implementation using discrete Hermite eigenvectors can provide similar results to match the continuous outputs. Expressions for the 2D optimal filter function in fractional domains will be given for transform domains characterized by the two rotation angle parameters of the 2D fractional Fourier transform. The proposed method is used to restore images that have several degradations in the experiments. The results show that the method presented in this paper is valid.

Date Published: 20 September 2001
PDF: 6 pages
Proc. SPIE 4552, Image Matching and Analysis, (20 September 2001); doi: 10.1117/12.441538

Published in SPIE Proceedings Vol. 4552:
Image Matching and Analysis
Bir Bhanu; Jun Shen; Tianxu Zhang, Editor(s)