Nonseparable two-dimensional fractional fourier transform

Aysegul Sahin; M. Alper Kutay; Haldun M. Ozaktas

doi:10.1364/AO.37.005444

Nonseparable two-dimensional fractional fourier transform

Aysegul Sahin, M. Alper Kutay, Haldun M. Ozaktas

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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.

Original language	English (US)
Pages (from-to)	5444-5453
Number of pages	10
Journal	Applied Optics
Volume	37
Issue number	23
DOIs	https://doi.org/10.1364/AO.37.005444
State	Published - Aug 10 1998
Externally published	Yes

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
Engineering (miscellaneous)
Electrical and Electronic Engineering

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10.1364/AO.37.005444

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title = "Nonseparable two-dimensional fractional fourier transform",

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.",

author = "Aysegul Sahin and Kutay, \{M. Alper\} and Ozaktas, \{Haldun M.\}",

year = "1998",

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doi = "10.1364/AO.37.005444",

language = "English (US)",

volume = "37",

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journal = "Applied Optics",

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T1 - Nonseparable two-dimensional fractional fourier transform

AU - Sahin, Aysegul

AU - Kutay, M. Alper

AU - Ozaktas, Haldun M.

PY - 1998/8/10

Y1 - 1998/8/10

N2 - 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.

AB - 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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U2 - 10.1364/AO.37.005444

DO - 10.1364/AO.37.005444

M3 - Article

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VL - 37

SP - 5444

EP - 5453

JO - Applied Optics

JF - Applied Optics

IS - 23

ER -

Nonseparable two-dimensional fractional fourier transform

Abstract

All Science Journal Classification (ASJC) codes

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