OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 2 — Feb. 1, 1998
  • pp: 389–401

Disk-harmonic coefficients for invariant pattern recognition

Steven C. Verrall and Ramakrishna Kakarala  »View Author Affiliations


JOSA A, Vol. 15, Issue 2, pp. 389-401 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000389


View Full Text Article

Enhanced HTML    Acrobat PDF (1333 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Disk harmonics are defined, and an explanation is given as to why they can be interpreted as the natural generalization of the Fourier basis set onto the unit disk. An existing statistical theory is used to show that a particular set of disk-harmonic coefficients is more suitable for describing images on the unit disk than Zernike or pseudo-Zernike moments are. Zernike moments have been applied to a wide range of problems. However, we concentrate on the problem of invariant pattern recognition and briefly indicate other problems where disk-harmonic coefficients are possibly useful. The effects that different pixel resolutions and discrete white noise have on the three moment or coefficient sets compared in this paper are briefly investigated experimentally.

© 1998 Optical Society of America

OCIS Codes
(070.5010) Fourier optics and signal processing : Pattern recognition
(110.4280) Imaging systems : Noise in imaging systems
(110.6980) Imaging systems : Transforms
(220.1010) Optical design and fabrication : Aberrations (global)

History
Original Manuscript: February 4, 1997
Revised Manuscript: September 26, 1997
Manuscript Accepted: August 19, 1997
Published: February 1, 1998

Citation
Steven C. Verrall and Ramakrishna Kakarala, "Disk-harmonic coefficients for invariant pattern recognition," J. Opt. Soc. Am. A 15, 389-401 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-2-389

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