A fuzzy morphological edge enhancing operator is presented in this paper. An image is mapped into a fuzzy set by this operator. The theory of fuzzy set is used to describe the fuzzy degree of an edge. By changing the membership function with nonlinear operators, the purpose of enhancing the gradient of fuzzy edges can be achieved. It is showed by computer simulations that the gradient of edges is enhanced by fuzzy morphological edge enhancing operator and, then, the structure and feature of images are strengthened and edges can be easily extracted.
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