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本文研究尺度滤波器的基本分解问题。基于所得结果，对于任意给定的尺度滤波器，给出了双正交小波矩阵的构造方案。
In this paper, the factorization of scaling vector filters into prime factors is considered. A construction of bi-orthogonal wavelet matrix with pre-asigned scaling filter is given.
论文提出一种基于高斯滤波器的尺度相乘边缘检测算法。
This paper presents an algorithm to edge detection by scale multiplication based on Gaussian filter.
提出了一种用于多尺度边缘检测的小波变换滤波器系数的计算方法，并且以具体例子进行了检验，表明了该方法的有效性。
A method of calculating wavelet transformation filter coefficients for multiscale edge detection is given in this paper, and the efficiency of the method is clarified.
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