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中文摘要：
对小波变换本质进行分析，得出小波是将序列收敛的商空间逼近改造成按级数收敛的商空间逼近的结论。将商空间粒度计算理论与小波变换相结合并应用于纹理图像分割中，取得了成功。
英文摘要：
After analyzing and summing up the wavelet theory, the conclusion was educed that wavelet and quotient space theory was accordant in essence according to the quotient space approach theory. The wavelet transform and granularity technique being combined, a segmentation algorithm in texture image was presented, and the algorithm was verified by experimental results.
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