Optical implementation of the Karhunen-Loeve procedure for image recovery

Haisong Liu; Qingsheng He; Minxian Wu; Guofan Jin; Yingbai Yan

doi:10.1117/12.364134

30 September 1999 Optical implementation of the Karhunen-Loeve procedure for image recovery

Haisong Liu, Qingsheng He, Minxian Wu, Guofan Jin, Yingbai Yan

Author Affiliations +

Proceedings Volume 3815, Digital Image Recovery and Synthesis IV; (1999) https://doi.org/10.1117/12.364134
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

In this paper, the Karhunen-Loeve transform has been applied to the image recovery procedure. According to this method, an particular image can be economically represented by a best coordinate system called eigenimages, which are the eigenfunctions of the averaged covariance of a set of training images. Since the images can be approximated by different linear combinations of a relatively few eigenimages, they can be efficiently recovered by storing only a small set of the eigenimages and a small collection of weight coefficients for each image, which is derived by projecting the original image onto each eigenimage. A volume holographic storage based optical processor is used to implement those projections in parallel. Exploiting the large capacity storage and high parallel read-out ability of the associative memory technique, the processor has an inherent mechanism of multichannel correlation. After the set of eigenimages are stored in a photorefractive crystal by using the two-wave mixing, spatially separated beams with different light intensities will be obtained in parallel when input image addresses the processor. The intensity of each beam just represents the projection result between the input image and each eigenimage.

Citation Download Citation

Haisong Liu, Qingsheng He, Minxian Wu, Guofan Jin, and Yingbai Yan "Optical implementation of the Karhunen-Loeve procedure for image recovery", Proc. SPIE 3815, Digital Image Recovery and Synthesis IV, (30 September 1999); https://doi.org/10.1117/12.364134

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