| 一种双正交小波代数构造方法 |
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| 引用本文： | 李艳,徐长发.一种双正交小波代数构造方法[J].华中科技大学学报(自然科学版),2006,34(5):37-39. |
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| 作者姓名： | 李艳 徐长发 |
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| 作者单位： | 1. 上海海事大学,基础部,上海,200135
2. 华中科技大学,数学系,湖北,武汉,430074 |
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| 基金项目： | 上海市教委资助项目;上海市培养优秀青年教师科研项目 |
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| 摘 要： | 提出了一种B样条双正交小波的代数构造方法.对同一个尺度函数来说,可通过自由选择参数构造多种不同的对偶尺度函数的系数,从而可以构造不同的B样条双正交小波.在此基础上用同一尺度函数的多种双正交小波分别作了信号消噪和图像的分解与重构实验,取得了小波系数在信号消噪和图像处理中如何按照应用目的选优的相关结论.
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| 关 键 词： | 双正交小波基 尺度函数 样条小波 多分辨分析 |
| 文章编号： | 1671-4512(2006)05-0037-03 |
| 收稿时间： | 06 27 2005 12:00AM |
| 修稿时间： | 2005年6月27日 |
Algebraical construction of biorthonormal wavelet |
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| Li Yan,Xu Changfa.Algebraical construction of biorthonormal wavelet[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2006,34(5):37-39. |
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| Authors: | Li Yan Xu Changfa |
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| Institution: | Dept. of Basis, Shanghai Uuiv. of Maritime, Shanghai 200135, China. |
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| Abstract: | On the basis of B-spline,an algebraical construction of biorthonormal wavelet was proposed.For the same scaling function,the different coefficients of dual scaling function were constructed by randomly selecting different parameters and the different B-spline wavelets were constructed.The experiments of signal denoise,decomposing and reconstructing of image were performed by using many types of different biorthonormal wavelets with the same scaling function.It was noted that how to choose biorthonormal wavelets could be concluded from the results of the experiments. |
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| Keywords: | biorthonormal wavelet bases scaling functions spline wavelets multiresolution analysis |
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