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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 25, Iss. 18 — Sep. 15, 1986
  • pp: 3225–3229

Properties of the circular harmonic expansion for rotation-invariant pattern recognition

Henri H. Arsenault and Yunlong Sheng  »View Author Affiliations


Applied Optics, Vol. 25, Issue 18, pp. 3225-3229 (1986)
http://dx.doi.org/10.1364/AO.25.003225


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Abstract

Some general properties of the circular harmonic expansion relevant to their use for pattern recognition are derived. Both circular harmonic filters and Fourier-Mellin descriptors, which are used as the moments of circular harmonic functions, are considered. Expressions for the asymptotic energy in terms of the circular harmonic orders are derived and experimentally verified.

© 1986 Optical Society of America

History
Original Manuscript: February 6, 1986
Published: September 15, 1986

Citation
Henri H. Arsenault and Yunlong Sheng, "Properties of the circular harmonic expansion for rotation-invariant pattern recognition," Appl. Opt. 25, 3225-3229 (1986)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-25-18-3225

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