Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Disk-harmonic coefficients for invariant pattern recognition

Not Accessible

Your library or personal account may give you access

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

Full Article  |  PDF Article
More Like This
Orthogonal Fourier–Mellin moments for invariant pattern recognition

Yunlong Sheng and Lixin Shen
J. Opt. Soc. Am. A 11(6) 1748-1757 (1994)

Image description with generalized pseudo-Zernike moments

Ting Xia, Hongqing Zhu, Huazhong Shu, Pascal Haigron, and Limin Luo
J. Opt. Soc. Am. A 24(1) 50-59 (2007)

Multidistortion-invariant image recognition with radial harmonic Fourier moments

Haiping Ren, Ziliang Ping, Wurigen Bo, Wenkai Wu, and Yunlong Sheng
J. Opt. Soc. Am. A 20(4) 631-637 (2003)

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 Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (23)

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

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

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

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (45)

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

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved