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An optical-digital processor for morphological and nonlinear rank-order image processing is presented. It performs the following functions: First, digital threshold decomposition of a gray-scale input image into a cascade of binary slices; second, optical convolution of slices with a gray-scale kernel; and third, digital elementwise arithmetic and logic operations on the cascade of convolution results. A theorem on calculating the local histograms of weighted neighborhoods of an input gray-scale image is presented. It says that the local histogram of input image results from subtraction of convolution patterns of its two subsequent binary slices with a gray-scale structuring element.
Vitaly Kober
"Hybrid morphological processor based on local histogram calculation method", Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 19834F (26 July 1993); https://doi.org/10.1117/12.2308578
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Vitaly Kober, "Hybrid morphological processor based on local histogram calculation method," Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 19834F (26 July 1993); https://doi.org/10.1117/12.2308578