摘要
数学形态学被广泛应用于信号与图像处理。本文在完备格的框架下 ,利用模糊逻辑运算及其伴随 ,给出模糊数学形态学运算的定义 ,并深入讨论了这些运算的性质。特别是 ,由这种途径定义的模糊形态学 ,模糊闭和模糊开具有很好的性质。
Mathematical morphology has been widely applied to signal and image processing. In this paper,within the complete lattice framework, employed fuzzy logical operations and adjunction, fuzzy morphological operations have been proposed. The properties of these operations are discussed deeply. Especially,by this approach to fuzzy morphology, fuzzy closing and fuzzy opening have desirable properties. The links between fuzzy morphological operations and classical morphological operations have been investigated.
出处
《模糊系统与数学》
CSCD
2001年第2期25-32,共8页
Fuzzy Systems and Mathematics
基金
Huygens grant No.I.HG.99/ 0 76 8from Nuffic in the Netherlands
关键词
完备格
伴随
合取
蕴涵
数学形态学
模糊形态学运算
Complete Lattice
Adjunction
Conjunction
Implication
Mathematical Morphology
Fuzzy Morphological Operation
