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Abstract

A new morphology is proposed which uses fuzzy structuring elements and is internal on fuzzy sets. It is fully compatible with conventional morphology which uses binary structuring elements, either on binary or on grey-tone sets. The properties of the two basic operations, fuzzy dilation and fuzzy erosion, are presented. An example showing the interest of fuzzy morphology to manipulate the uncertainty linked to spatial information is presented in multisource medical image data fusion.

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Bloch, I., Maître, H. Fuzzy mathematical morphology. Ann Math Artif Intell 10, 55–84 (1994). https://doi.org/10.1007/BF01530944

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