OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 23 — Aug. 10, 1998
  • pp: 5444–5453

Nonseparable two-dimensional fractional Fourier transform

Aysegul Sahin, M. Alper Kutay, and Haldun M. Ozaktas  »View Author Affiliations


Applied Optics, Vol. 37, Issue 23, pp. 5444-5453 (1998)
http://dx.doi.org/10.1364/AO.37.005444


View Full Text Article

Enhanced HTML    Acrobat PDF (590 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
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.

© 1998 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(100.0100) Image processing : Image processing
(100.3020) Image processing : Image reconstruction-restoration

History
Original Manuscript: December 4, 1997
Revised Manuscript: May 12, 1998
Published: August 10, 1998

Citation
Aysegul Sahin, M. Alper Kutay, and Haldun M. Ozaktas, "Nonseparable two-dimensional fractional Fourier transform," Appl. Opt. 37, 5444-5453 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-23-5444

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited