| 正交小波变换中边界延拓的精确重构算法 |
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| 引用本文： | 樊启斌,石丽君. 正交小波变换中边界延拓的精确重构算法[J]. 数学杂志, 2010, 30(5) |
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| 作者姓名： | 樊启斌 石丽君 |
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| 作者单位： | 1. 武汉大学数学与统计学院,湖北,武汉,430072
2. 武汉大学数学与统计学院,湖北,武汉,430072;武汉商贸职业学院素质教育工作部,湖北,武汉,430205 |
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| 基金项目： | Supported by National 863 Project of China(2009AA12Z203) |
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| 摘 要： | 本文研究了小波应用中的边界延拓问题.通过边界补偿的方法导出了零延拓滤波器矩阵的逆矩阵,分析了零延拓的滤波器矩阵与无穷滤波器矩阵之间的差异.
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| 关 键 词： | 正交小波变换 边界处理 精确重构 |
TWO PERFECT RECONSTRUCTION ALGORITHMS FOR BOUNDARY PROCESSING IN WAVELET TRANSFORM |
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| FAN Qi-bin,SHI Li-jun. TWO PERFECT RECONSTRUCTION ALGORITHMS FOR BOUNDARY PROCESSING IN WAVELET TRANSFORM[J]. Journal of Mathematics, 2010, 30(5) |
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| Authors: | FAN Qi-bin SHI Li-jun |
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| Affiliation: | FAN Qi-bin1,SHI Li-jun1,2(1.School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)(2.Department of Qualities-Oriented Education,Wuhan International Trade University,Wuhan 430205,China) |
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| Abstract: | In this article, we study boundary extension problem of wavelet applications and analyze the difference between zero-padding filter matrix and infinite filter matrix. By boundarycompensation, we obtain the inverse matrix of zero-padding filter. |
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| Keywords: | orthogonal wavelet transform boundary processing perfect reconstruction |
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