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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 6 — Jun. 1, 1998
  • pp: 1658–1661

Fractional triple correlation and its applications

David Mendlovic, David Mas, Adolf W. Lohmann, Zeev Zalevsky, and Gal Shabtay  »View Author Affiliations


JOSA A, Vol. 15, Issue 6, pp. 1658-1661 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001658


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Abstract

Higher-order correlations are well known for their use in noise removal, image enhancement, and signal identification. They are generalizations of the well-known second-order correlation. The fractionalization of the second-order correlation provides some interesting features that are related to the shift-variance property of the fractional-Fourier-transform operation. This project proposes the fractionalization of the triple-correlation operation (as well as other higher-order correlations). A suggested definition as well as some applications are given. Computer simulations demonstrate some of the features this operation offers.

© 1998 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms

History
Original Manuscript: August 26, 1997
Revised Manuscript: December 15, 1997
Manuscript Accepted: January 26, 1998
Published: June 1, 1998

Citation
David Mendlovic, David Mas, Adolf W. Lohmann, Zeev Zalevsky, and Gal Shabtay, "Fractional triple correlation and its applications," J. Opt. Soc. Am. A 15, 1658-1661 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-6-1658


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References

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