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