Fuzzy morphology induced by threshold decomposition

Zheng Gao; Han-gen He; Jianping Liu; Xiaolin Liu; Peng Xi

doi:10.1117/12.179196

30 June 1994 Fuzzy morphology induced by threshold decomposition

Zheng Gao, Han-gen He, Jianping Liu, Xiaolin Liu, Peng Xi

Proceedings Volume 2300, Image Algebra and Morphological Image Processing V; (1994) https://doi.org/10.1117/12.179196
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

In this paper, we propose a novel fuzzy morphology (FM) which is induced by threshold decomposition. Its operators are the measures on a (sigma) _ring in range space of the membership functions of fuzzy sets, which depend upon the ordinary binary morphological operators of threshold sets of fuzzy sets. Some of the characteristic of these FM are similar to those of the traditional morphology. All the operators of these FM prove to be the morphological operators in the sense of complete lattice. It is shown how one can use binary morphological operators, thresholding techniques and stacking properties to implement these FM's operators. The VLSI implementation is simple and fast. The concept of fuzzification of set_intersection is introduced. This paper also presents a general algebraic approach to analysis fuzzy morphological operators on the space of fuzzy sets.

Citation Download Citation

Zheng Gao, Han-gen He, Jianping Liu, Xiaolin Liu, and Peng Xi "Fuzzy morphology induced by threshold decomposition", Proc. SPIE 2300, Image Algebra and Morphological Image Processing V, (30 June 1994); https://doi.org/10.1117/12.179196

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