| 小波变换中基于正交多项式拟合的边界延拓 |
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| 引用本文： | 孔超,方勇华,兰天鸽,熊伟,董大明,李大成.小波变换中基于正交多项式拟合的边界延拓[J].量子电子学报,2008,25(1):25-28. |
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| 作者姓名： | 孔超 方勇华 兰天鸽 熊伟 董大明 李大成 |
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| 作者单位： | 中国科学院安徽光学精密机械研究所,安徽,合肥,230031 |
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| 摘 要： | 为消除小波分解过程中的边界效应,给出了一种基于多项式拟合的边界延拓的新方式.该延拓方式首先对信号边界处的N个点进行M阶正交多项式拟合,将信号在边界处的低频变化规律用正交多项式表示出来,再利用得到的边界处的低频变化规律对信号进行延拓,从而减少了边界处引入的突变量.研究表明,N取30～50、M取2～4较为合适.进一步的实验表明,利用小波变换在该延拓方式下对信号进行基线校正时,边界效应得到了明显的改善.
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| 关 键 词： | 图像处理 小波变换 边界效应 正交多项式拟合 基线校正 |
| 文章编号： | 1007-5461（2008）01-0025-04 |
| 收稿时间： | 2007-01-31 |
| 修稿时间： | 2007-03-23 |
A boundary prolongation method based on orthogonal polynomial fitting in wavelet transform |
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| KONG Chao,FANG Yong-hua,LAN Tian-ge,XIONG Wei,DONG Da-ming,LI Da-cheng.A boundary prolongation method based on orthogonal polynomial fitting in wavelet transform[J].Chinese Journal of Quantum Electronics,2008,25(1):25-28. |
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| Authors: | KONG Chao FANG Yong-hua LAN Tian-ge XIONG Wei DONG Da-ming LI Da-cheng |
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| Affiliation: | KONG Chao,FANG Yong-hua,LAN Tian-ge,XIONG Wei,DONG Da-ming,LI Da-cheng (Anhui Institute of Optics , Fine Mechanics,Chinese Academy of Sciences,Hefei 230031,China ) |
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| Abstract: | A new boundary prolongation method based on orthogonal polynomial fitting was developed to remove the signal-end effect. In the prolongation method M-order orthogonal polynomial was fitted with N points for both ends firstly, the low-frequency function of signal's both ends was expressed by orthogonal polynomial, and then the signal was extended with function, so the imported high-frequency parts were lowered. Results showed that choosing N from 30-50 and M from 2-4 was proper. Further experiment showed tha... |
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| Keywords: | image processing wavelet transform signal-end effect orthogonal polynomial fitting baseline correction |
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