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Binary image algebra representations of optical cellular logic and symbolic substitution

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Abstract

Binary image algebra (BIA) provides a systematic mathematical formalism for both digital optical cellular logic and symbolic substitution processors, in addition to being a unified theory of parallel binary image processing.1 Cellular logic operations and symbolic substitution rules are proved to be special cases of image transformations in BIA; and BIA serves as an algebraic theory for developing and analyzing parallel algorithms of both cellular logic and symbolic substitution.

© 1987 Optical Society of America

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