Geometric Moments Computed From The Hartley Transform

B. V.K. Vijaya Kumar

doi:10.1117/12.7974009

1 December 1986 Geometric Moments Computed From The Hartley Transform

B. V.K. Vijaya Kumar

Author Affiliations +

Optical Engineering, Vol. 25, Issue 12, 251327 (December 1986). https://doi.org/10.1117/12.7974009

Abstract

Geometric moments are useful in pattern recognition, and several optical methods have been proposed for their calculation. In this paper, we present a new hybrid optical/digital processor that computes the geometric moments using the recently introduced Hartley transform (HT). This transform has the attractive property of being real when the signal is real. We prove an important result, that all geometric moments of an image can be computed recursively from the various partial derivatives (near origin) of the HT intensity. An analytical example is provided to illustrate the proposed method.

Citation Download Citation

B. V.K. Vijaya Kumar "Geometric Moments Computed From The Hartley Transform," Optical Engineering 25(12), 251327 (1 December 1986). https://doi.org/10.1117/12.7974009

Published: 1 December 1986

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $24.00

Non-members: $28.00 ADD TO CART

JOURNAL ARTICLE
6 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

CITATIONS

Cited by 7 scholarly publications.

Explore citations on Lens.org

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Geometrical optics

Hybrid optics

Optical pattern recognition

RELATED CONTENT

Partially Matched Spatial Filtering With Simulated Input
Proceedings of SPIE (July 10 1979)

Concepts For Automated Pattern Recognition Research With Hybrid Optical Digital...
Proceedings of SPIE (November 22 1977)

Optical electronic pattern recognition system based on image moment features...
Proceedings of SPIE (March 09 1999)

Extracting invariant moments of images by a hybrid optical processor...
Proceedings of SPIE (July 01 1992)

Optical Implementation Of Programmable Neural Networks
Proceedings of SPIE (June 29 1989)

Hybrid binary optic cylinder lens array for collimation of diode...
Proceedings of SPIE (May 12 1995)

Optic-electric hybrid parallel pattern recognition system
Proceedings of SPIE (November 25 1992)

Subscribe to Digital Library

Receive Erratum Email Alert

Keywords/Phrases

Search In:

Publication Years