| 二元向量值紧支撑正交小波的构造 |
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| 引用本文： | 李万社,蒙少亭,延卫军. 二元向量值紧支撑正交小波的构造[J]. 汕头大学学报(自然科学版), 2009, 24(3): 1-9 |
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| 作者姓名： | 李万社 蒙少亭 延卫军 |
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| 作者单位： | 1. 陕西师范大学数学与信息科学学院,陕西,西安,710062
2. 陕西师范大学数学与信息科学学院,陕西,西安,710062;榆林学院数学系,陕西,榆林,719000 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究了L2(R2,Cr)中二元向量值紧支撑正交小波的构造.给出了二元向量值多分辨分析和二元向量值正交小波的概念,利用多分辨分析理论,得到了一种有效的二元紧支撑向量值正交小波的构造算法,并给出了数值算例.
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| 关 键 词： | 二元向量值多分辨分析 二元向量值尺度函数 二元紧支撑向量值正交小波 |
Construction of Bivariate Compactly Supported Orthogonal Vectoer-Valued Wavelets |
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| LI Wan-she,MENG Shao-ting,YAN Wei-jun. Construction of Bivariate Compactly Supported Orthogonal Vectoer-Valued Wavelets[J]. Journal of Shantou University(Natural Science Edition), 2009, 24(3): 1-9 |
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| Authors: | LI Wan-she MENG Shao-ting YAN Wei-jun |
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| Affiliation: | LI Wan-she, MENG Shao-ting, YAN Wei-jun (1. College of Mathematics and Information Science, Shaanxi Normal University, Xi＇an 710062, Shaanxi, China; 2. Department of Mathematics, Yulin College, Yulin 719000, Shaanxi, China) |
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| Abstract: | Construction of bivariate compactly supported orthogonal vector-valued wavelets on L2(R 2,C r) is investigated in the paper.The notion of bivariate vector-valued multiresolution analysis is introduced and the definition of bivariate orthogonal vector-valued wavelets is given.An effective algorithm for constructing bivariate compactly supported orthogonal vector-valued wavelets is obtained by using multiresolution analysis theory.Finally,an example is given. |
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| Keywords: | bivariate vector-valued multiresolution analysis bivariate vector-valued scaling function bivariate compactly supported vector-valued wavelets |
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