Granulometry based on Fuzzy logic
Yanmei Chen · Ha'erbin gongye daxue xuebao · 2009
Granulometry is an important technique in image analysis and processing.The key of this technique lies in establishing granulometric operators.A notion of strongly convex fuzzy set is introduced in the framework of complete lattice theory.In combination with fuzzy logical operators,the relationship between strongly convex fuzzy sets and convex fuzzy sets is investigated.Fundamental theory of granulometry that is used for analyzing and processing grey-scale images is developed.In particular,Minkowshi granulometry with properties of translation invariance and compatibility with scale multiplication is presented in an Euclidean space.