Optical method and system for generating expansion coefficients for an image processing function
First Claim
1. A system for optically generating expansion coefficients for a wavelet representation of an image, said image comprising a series of wavelet functions, comprising:
- first optical means for providing an optical representation of said image;
second optical means for Fourier transforming said optical representation of said image;
third optical means for optically providing a Fourier transform of a convolving function of said wavelet functions;
fourth optical means for providing an optical product of the Fourier transform of said image and the Fourier transform of said convolving function of said wavelet functions;
fifth optical means for optically transforming said product to provide a spatial intensity distribution representative of the expansion coefficients of said wavelet representation of said image on optical detector array, said detector array responsive to said spatial intensity distribution for generating electrical signals corresponding to said intensity distribution which are representative of the expansion coefficients of said wavelet representation of said image; and
means for storing said electrical signals as a wavelet representation of said image.
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Accused Products
Abstract
A system for optically generating expansion coefficients for an image processing function. The invention (10) includes a first optical element (18) for providing a transform of an image provided at a first image plane (16). A second optical arrangement (20) provides a product of the transform of the image and a transform of a convolving function. This product is transformed by a lens (22) to provide an image intensity distribution representative of expansion coefficients resulting from a convolution of the image by the convolving function. In a specific implementation, the convolving function is a wavelet and the intensity distribution is detected to provide the expansion coefficients.
46 Citations
13 Claims
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1. A system for optically generating expansion coefficients for a wavelet representation of an image, said image comprising a series of wavelet functions, comprising:
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first optical means for providing an optical representation of said image; second optical means for Fourier transforming said optical representation of said image; third optical means for optically providing a Fourier transform of a convolving function of said wavelet functions; fourth optical means for providing an optical product of the Fourier transform of said image and the Fourier transform of said convolving function of said wavelet functions; fifth optical means for optically transforming said product to provide a spatial intensity distribution representative of the expansion coefficients of said wavelet representation of said image on optical detector array, said detector array responsive to said spatial intensity distribution for generating electrical signals corresponding to said intensity distribution which are representative of the expansion coefficients of said wavelet representation of said image; and means for storing said electrical signals as a wavelet representation of said image. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
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13. A method for generating expansion coefficients for a wavelet representation of an image, said image comprising a series of wavelet functions, including the steps of:
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optically transforming said image; providing an optical representation of said convolving function of said wavelet functions; optically transforming the optical representation of said wavelet convolving function; optically forming the product of the image transform and the wavelet convolving function transform; and optically transforming the product of the image transform and the wavelet convolving function transform, thereby providing a spatial intensity distribution representative of the wavelet expansion coefficients of said wavelet function representation of said image; detecting said spatial intensity distribution; generating electrical signals corresponding to said detected spatial intensity distribution which are representative of the expansion coefficients of said wavelet representation of said image; and storing said electrical signals as a wavelet representation of said image.
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Specification