B. Debaets et al., THE FUNDAMENTALS OF FUZZY MATHEMATICAL MORPHOLOGY .1. BASIC CONCEPTS, International journal of general systems, 23(2), 1994, pp. 155-171
Citations number
12
Categorie Soggetti
Ergonomics,"System Science","Computer Science Theory & Methods",Ergonomics
Fuzzy mathematical morphology provides an alternative extension of the
binary morphological operations to gray-scale images based on the the
ory of fuzzy sets. This paper introduces the basic concepts of fuzzy m
athematical morphology, starting from the original definitions of the
morphological operations by Serra. More specifically, the fuzzy dilati
on, erosion, closing and opening operations are introduced. Their basi
c properties such as monotonicity and interaction with union and inter
section are discussed in detail. Some important relationships between
the fuzzy erosion and fuzzy dilation are established.