The symmetric extension is- studied when applying in true two-dimensional (2-D) even symmetric biorthogonal wavelet transform. According to the characteristics of true 2-D wavelet filter banks and symmetric extension, the formulas of four sub-band after wavelet decomposition are deduced. These formulas summarize the original data of any start point and any length at multi-level decomposition, and obtain the cycle and symmetric relation of the four sub-bands. Finally, a true 2-D 5/3 wavelet transform is taken as an example to illustrate the practical application of specific methods.%研究了对称延拓在纯二维双正交偶对称小波变换中的应用,由纯二维小波滤波器组和对称延拓的性质推导出了小波分解后4个子带的公式.这些公式归纳了多级分解时,任意起点和任意长度的原始数据进行分解后,4个子带的周期和对称关系.最后给出了纯二维5/3小波变换的一个实例来具体说明其应用方法.
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