二维图象的三阶自相关函数是关于图象信息的全描述，它具有图象平称的不变性和AGN噪声不敏感性，本文根据三阶自相关函数两个偏置矢量的分布特征，对偏置矢量所构成的矢量三角形，依据三角形之间的松快生来描述其分布，推导出表征三角形形状类的三阶自相关函数，通过对该三阶自相关函数幅度变化因子进行对数坐标变换及ＦＦＴ变换，建立了对图象平移，旋转和伸缩变化具有不变性的特征变换集合。仿真实验结果表明，特征变换集合具有

The triple correlation of 2-D image is a complete representation of images. It has the properties of translation invariance and insensitivity to AGN. In this paper, according to the similarity among the vector triangles formed by two indepentent vectors of triple correlation function, the dist ributions of these two vectors are discussed, so that the triple correlation function based on the triangle form is introduced. The translation-rotation-scale invariant representation is established by logarithmic mapping of the scaling factor, and FFT transforming of this function. The simulation experiment illustrates the translation-rotation-scale invariance of invariant representation.