Morphological fuzzified-set image algebra and cellular two-layer logic architecture

Liren Liu; Yaozu Yin

doi:10.1117/12.235837

25 March 1996 Morphological fuzzified-set image algebra and cellular two-layer logic architecture

Liren Liu, Yaozu Yin

Proceedings Volume 2662, Nonlinear Image Processing VII; (1996) https://doi.org/10.1117/12.235837
Event: Electronic Imaging: Science and Technology, 1996, San Jose, CA, United States

Abstract

By developing the transform of local umbra, fuzzified sets are proposed to represent grayscale images and used to redefine the operations in mathematical morphology. A linear transform is suggested to convert the fuzzified sets back to the images. Then a set algebraic structure in the space of local umbra is established, which can describe binary and grayscale morphological functions in a uniform formulation. Further, a compact fuzzified-set image algebra is developed which has only a combined operator of a set logic followed by a fuzzified-set dilation. A cellular two-layer set-logic array architecture is suggested to execute the algorithm.

Citation Download Citation

Liren Liu and Yaozu Yin "Morphological fuzzified-set image algebra and cellular two-layer logic architecture", Proc. SPIE 2662, Nonlinear Image Processing VII, (25 March 1996); https://doi.org/10.1117/12.235837

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