连续空间数学形态学的模糊变换

Fuzzy Transformation of Mathematical Morphology on Continuous Space

首先对数学形态学中两个最基本的变换-膨胀（Dilation）和腐蚀（Erosion）给出了集合特性函数的等价表达形式，在此基础上提出了模糊膨胀和模糊腐蚀算子，并且给出了在集合运算下算子的一些性质。

：The paper gives equivalent form about set fundamental function to two basic concepts :dilation and erosion in mathematical morphology. Based on the theory , the paper puts forward fuzzy dilation and fuzzy erosion operator and studies their characters under set operation..