Nonseperable two-dimensional fractional Fourier transform

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Nonseperable_two-dimensional_fractional_Fourier_transform.pdf (589.62 KB)

Date

1998

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Source Title

Applied Optics

Print ISSN

1559-128X

Electronic ISSN

2155-3165

Publisher

Optical Society of America

Volume

37

Issue

23

Pages

5444 - 5453

Language

English

Type

Article

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Abstract

Previous generalizations of the fractional Fourier transform to two dimensions assumed separable kernels. We present a nonseparable definition for the two-dimensional fractional Fourier transform that includes the separable definition as a special case. Its digital and optical implementations are presented. The usefulness of the nonseparable transform is justified with an image-restoration example.

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Keywords

Cylindrical lenses, Fourier transforms, Fractional Fourier transforms, Image processing algorithms, Interpolation, Transforms

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http://hdl.handle.net/11693/48583

Published Version (Please cite this version)

https://doi.org/10.1364/AO.37.005444

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Scholarly Publications - Electrical and Electronics Engineering