Fuzzy connected filters for fuzzy gray scale images

Giovanni Palma, Isabelle Bloch, Serge Muller

In this paper, we propose an extension of connected filters into the fuzzy set framework. We introduce a modeling of imprecision via the introduction of the fuzzy umbra image concept which allows us to express fuzzy connected operators for fuzzy gray scale images. Using this new tool, a set of filters families is proposed and their properties are discussed. The expression of classical filters in this new framework and the introduction of a new filter dedicated to the processing of Digital Breast Tomosynthesis (DBT) volumes are also described.

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