基于二维不可分小波变换的矩不变量

Moment Invariants Based on Two Dimensional Non-separable Wavelet Transform

寻找相对于尺度、平移、旋转不变的小波不变量是多尺度分析在模式识别中应用的关键性问题。该文利用基于统计的不变矩这一理论和应用上都比较成熟的方法,将图像有限个尺度的小波近似系数和图像不变矩联系起来,从而给出了一种小波矩不变量,得到了比较完善的理论和实验结果。同时指出了该理论方法在实际应用中所需注意的地方,最后简要阐述了多尺度分析与不变矩的应用关系。

Searching for wavelet invariants is a key issue in multiresolution analysis. On the other hand,the method of moment invariants is fully developed both in the theory and the practice.A kind of wavelet moment invariants are given based on the image invariant moments and wavelet appr-oximation coefficients from the limited number of scales of the image. A fairy complete result on theory and experiment is obtained.At the same time, some problems of the theory and method are pointed out in the practical application.Finally, the application relationship between multi-scale analysis and invariant moment is briefly described.