三角范逻辑的模糊形态学分析

模糊数学形态学是由模糊逻辑和数学形态学相结合而产生的一种新理论，是模糊信息处理方法的一个重要发展．在分析现有几种模糊数学形态学的基础上，提出用三角范逻辑来统一构造模糊形态学算子的思想．并对这一设想进行了理论分析，对构造出的算子分别进行了一维、二维空间上的特性分析和计算演示．实验结果表明，模糊形态学算子应用在灰度图象上能体现传统数学形态学的性质，能平滑图象，去除噪声，还可用来进行多尺度的边界提取等．

Fuzzy Mathematical Morphology Based on Triangle Norm Logic

Fuzzy mathematical morphology (FMM) is a new theory in fuzzy information processing which is based on the combination of fuzzy logic and mathematical morphology. In this paper, a new definition of fuzzy mathematical morphology based on the logic of triangle norm and triangle conorm is presented. And some comparative researches on one and two dimension signals are also performed. The implementation results show that utilizing FMM on grey level image can get the effects of smoothing, noise suppressing and multi scale boundary detection.