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中文摘要：
在杨守志教授提出双向加细函数和双向小波定义，并建立双向多分辨分析的基础上，给出正交双向多分辨分析的定义和双向小波的快速分解和重构算法．
英文摘要：
The concepts of two-direction refinable function and two-direction wavelet are introduced by Professor Yang Shouzhi in his paper Two-direction refinable functions and two-direction wavelets with dilation factor m. The definition of the two-direction multi-resolution analysis is also given. As the more general situation of the traditional wavelet, the two-direction wavelet plays an important role in signal processing. The definition of orthogonal two-direction multi-resolution analysis is given and the fast decomposition algorithm and restructuring algorithm are shown.
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