一种粉末颗粒形状的对称谱法描述

SYMMETRY CHART ANALYSIS OF THE PARTICLE SHAPE FOR A POWDER

Ｆｏｕｒｉｅｒ形态分析中引入旋转对称性概念和算符Ｔ（α），本文得到对称度Ｃ（α），如同形态描述符Ｌ２（ｎ），Ｃ（α）是一个旋转不变量和标度不变量，而且有明确的物理意义。因此，对一种粉末的若干个颗粒的Ｃ（α）值可以统计加和，加和后得到的Ｃ（α）曲线，亦即对称谱，可反映出该种粉末的总体形状特征。

Introducing the conception of rotational symmetry and arithmetic operator T(α) into Fourier morphological analysis method,we obtain C(α),the symmetry at rotating angle α.Just like the morphological descriptor L 2(n),the symmetry C(α) is a invariant for rotation and scale,and has definite physis significance.So the symmetry C(α) of several particles for a powder can be calculated by statistical addition.The symmetry C(α) curve obtained by addition,i.e.symmetry chart,can reflect a general shape feature of this powder.