THE FUNDAMENTALS OF FUZZY MATHEMATICAL MORPHOLOGY .1. BASIC CONCEPTS

Authors
DEBAETS B KERRE E GUPTA M
Citation
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
Journal title
International journal of general systems → ACNP
ISSN journal
03081079
Volume
23
Issue
2
Year of publication
1994
Pages
155 - 171
Database
ISI
SICI code
0308-1079(1994)23:2<155:TFOFMM>2.0.ZU;2-K
Abstract
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.