Mathematical morphology, order filters and fuzzy logic

Abstract

In this paper, we try to establish connections between three different fields, which are mathematical morphology, order filters, and fuzzy logic. It is found that strong similarities between them exist, with respect to their algebraic structure, and tools which are common in fuzzy logic appear to be particular cases of some concepts of mathematical morphology, and are generalization of order filters. We give as an illustration an example of application on real images. >