基于模糊逻辑的微粒测定算子

Granulometry based on Fuzzy logic

微粒测定是一种重要的图像分析与处理技术,建立微粒测定算子是技术的关键.在完备格框架中引入强凸模糊集概念.结合模糊逻辑算子研究凸模糊集和强凸模糊集之间的关系以及处理灰度图像的微粒测定算子基本理论.特别地,在Euclidean空间中建立具有平移不变性和数乘相容性的Minkowski测定算子.

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 granulo...