| L2(Rs)中插值小波包的分裂技巧和精细分解 |
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| 引用本文： | 崔丽鸿,张新敬. L2(Rs)中插值小波包的分裂技巧和精细分解[J]. 数学杂志, 2005, 25(3): 259-264 |
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| 作者姓名： | 崔丽鸿 张新敬 |
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| 作者单位： | 1. 北京化工大学理学院,北京,100029
2. 郑州轻工业学院信息与计算机科学系,河南,郑州,450002 |
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| 基金项目： | SupportbySFYTBUCTQN.0414 |
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| 摘 要： | 对具有任意伸缩矩阵A的插值加细函数，给出对应于L^2(R^s)中的小波包的一个构造方法．采样空间被直接分解来取代对加细函数的符号分解．按照这个方法构造的插值小波包能对基插值空间提供较为精细的分解，因而对自适应的插值给出较好的局部化．
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| 关 键 词： | 加细函数 符号 插值小波包 伸缩矩阵 精细分解 |
SPLITTING TRICK AND FINER DECOMPOSITION OF INTERPOLATORY WAVELET PACKETS OF L2(Rs) |
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| CUI Li-hong,ZHANG Xin-jing. SPLITTING TRICK AND FINER DECOMPOSITION OF INTERPOLATORY WAVELET PACKETS OF L2(Rs)[J]. Journal of Mathematics, 2005, 25(3): 259-264 |
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| Authors: | CUI Li-hong ZHANG Xin-jing |
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| Affiliation: | CUI Li-hong~1,ZHANG Xin-jing~2 |
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| Abstract: | A method is presented for constructing wavelet packets of L~2(R~s) associated with an interpolatory refinable function with arbitrary dilation matrix A. Sampling space is split directly instead of using the mask of the refinable function. The interpolatory wavelet packets constructed by our method can provide a finer decomposition for the cardinal interpolation space and give a better localization for an adaptive interpolation. |
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| Keywords: | refinable functions mask interpolation wavelet packets dilation matrices finer decomposition |
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