中文摘要：

采用小波分层方法,可以消除畸变条纹中零频对基频的影响。本文从连续小波入手,求解出二维连续小波变换的小波脊尺度因子a的公式,结合离散小波的性质,将这些a作离散化,得到其离散值2k,用数学统计的方法将离散值分组,选择出有效的统计量即包含物体信息最多的层次,对应的k值就是离散小波变换中需要的分层系数。本文方法有效地指定较好的分层层数,实现了自动化操作。

英文摘要：

Using the method of wavelet decomposition, it is possible to eliminate the influence of zero frequency on the fundamental frequency in deformed fringe pattern, In this paper, we worked out the formula which was the scale factor a in the 2-D continuous wavelet transform, Combined with the characters of discrete wavelet, the scale factor a could be sampled as the discrete value 2^k by integer 2. These discrete values were grouped with statistical method, then the effective statistical values which was the level including the most information of objects were chosen, The corresponding k value was the level needed in the discrete wavelet transform. This way can effectively choose better decomposition level and achieve automatic operations.