Image restoration based on the discrete fraction Fourier transform

Peimin Yan; Yu Long Mo; Hong Liu

doi:10.1117/12.441538

20 September 2001 Image restoration based on the discrete fraction Fourier transform

Peimin Yan, Yu Long Mo, Hong Liu

Proceedings Volume 4552, Image Matching and Analysis; (2001) https://doi.org/10.1117/12.441538
Event: Multispectral Image Processing and Pattern Recognition, 2001, Wuhan, China

Abstract

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.

Citation Download Citation

Peimin Yan, Yu Long Mo, and Hong Liu "Image restoration based on the discrete fraction Fourier transform", Proc. SPIE 4552, Image Matching and Analysis, (20 September 2001); https://doi.org/10.1117/12.441538

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