Abstract

In this paper a novel fractional transformation for which we coin the term the fractional Radon transform is defined. This transform generalizes the Radon transform and combines it with the fractional Fourier transform. Both transformations are useful tools for invariant pattern recognition, tomography, and signal processing. Some of the properties of the new transformation, as well as further directions for investigation, are presented.

© 1996 Optical Society of America

Full Article  |  PDF Article
More Like This
Optical illustration of a varied fractional Fourier-transform order and the Radon–Wigner display

David Mendlovic, Rainer G. Dorsch, Adolf W. Lohmann, Zeev Zalevsky, and Carlos Ferreira
Appl. Opt. 35(20) 3925-3929 (1996)

Relationships between the Radon–Wigner and fractional Fourier transforms

Adolf W. Lohmann and Bernard H. Soffer
J. Opt. Soc. Am. A 11(6) 1798-1801 (1994)

New signal representation based on the fractional Fourier transform: definitions

David Mendlovic, Zeev Zalevsky, Rainer G. Dorsch, Yigal Bitran, Adolf W. Lohmann, and Haldun Ozaktas
J. Opt. Soc. Am. A 12(11) 2424-2431 (1995)

References

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
Login to access OSA Member Subscription

Cited By

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
Login to access OSA Member Subscription

Figures (2)

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
Login to access OSA Member Subscription

Equations (19)

You do not have subscription access to this journal. Equations 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
Login to access OSA Member Subscription

Metrics

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
Login to access OSA Member Subscription