| 4-进紧支撑双对称双正交多小波 |
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| 引用本文： | 邹庆云,陶庆云,王真伟.4-进紧支撑双对称双正交多小波[J].江西师范大学学报(自然科学版),2009,33(2). |
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| 作者姓名： | 邹庆云 陶庆云 王真伟 |
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| 作者单位： | 湖南文理学院,数学与计算科学学院,湖南,常德,415000 |
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| 基金项目： | 国家自然科学基金，湖南文理学院优秀青年项目，湖南省科技计划项目 |
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| 摘 要： | 该文给出了一类具有双对称4-进双正交小波的构造方法,该小波类可以由它的低通滤波器确定,因此,其自由度可以运用到应用背景.构造具有较高消失矩的双对称双正交多小波族,为相关应用提供了大量选择.
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| 关 键 词： | 4-进小波 双正交小波 正交性 图像压缩 |
4-Bank Compactly Supported Bi-Symmetric Biorthonormal Wavelets Bases |
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| ZOU Qing-yun,TAO Qing-yun,WANG Zhen-wei.4-Bank Compactly Supported Bi-Symmetric Biorthonormal Wavelets Bases[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2009,33(2). |
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| Authors: | ZOU Qing-yun TAO Qing-yun WANG Zhen-wei |
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| Institution: | Department of Mathematics and Computing Science;Hunan University of Arts and Science;Changde Hunan 415000;China |
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| Abstract: | A class of four-bank bisymmetric biorthogonal wavelet bases has been constructed,in which any wavelet system can be determined by its low-pass filter.Thus,the least restrictive conditions are needed for forming a wavelet so that the free degrees can be reversed for application requirement.Some concrete examples with high vanishing moments are also given.These wavelets can process the boundary conveniently,and enjoy the highly efficient computations in application. |
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| Keywords: | 4-bank wavelets biorthonormal wavelets orthogonality image compression |
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