NONSEPARABLE 2-DIMENSIONAL FRACTIONAL FOURIER-TRANSFORM

Authors
SAHIN A KUTAY MA OZAKTAS HM
Citation
A. Sahin et al., NONSEPARABLE 2-DIMENSIONAL FRACTIONAL FOURIER-TRANSFORM, Applied optics, 37(23), 1998, pp. 5444-5453
Citations number
40
Categorie Soggetti
Optics
Journal title
Applied optics → ACNP
ISSN journal
00036935
Volume
37
Issue
23
Year of publication
1998
Pages
5444 - 5453
Database
ISI
SICI code
0003-6935(1998)37:23<5444:N2FF>2.0.ZU;2-N
Abstract
Previous generalizations of the fractional Fourier transform to two di mensions assumed separable kernels. We present a nonseparable definiti on for the two-dimensional fractional Fourier transform that includes the separable definition as a special case. Its digital and optical im plementations are presented. The usefulness of the nonseparable transf orm is justified with an image-restoration example. (C) 1998 Optical S ociety of America.