| 二元实值正交周期Box样条小波 |
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| 引用本文： | 李强,梁学章. 二元实值正交周期Box样条小波[J]. 东北数学, 2006, 0(1) |
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| 作者姓名： | 李强 梁学章 |
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| 作者单位： | Institute of Mathematics，Institute of Mathematics Jilin University，Changchun，130012，Jilin University，Changchun，130012 |
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| 基金项目： | The NSP (60542002) of China |
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| 摘 要： | In this paper, we construct a kind of bivariate real-valued orthogonal periodic box-spline wavelets. There are only 4 terms in the two-scale dilation equations. This implies that the corresponding decomposition and reconstruction algorithms involve only 4 terms respectively which are simple in practical computation. The relation between the periodic wavelets and Fourier series is also discussed.
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Bivariate Real-valued Orthogonal Periodic Box-spline Wavelets |
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| LI Qiang,LIANG Xue-zhang. Bivariate Real-valued Orthogonal Periodic Box-spline Wavelets[J]. Northeastern Mathematical Journal, 2006, 0(1) |
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| Authors: | LI Qiang LIANG Xue-zhang |
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| Abstract: | In this paper, we construct a kind of bivariate real-valued orthogonal periodic box-spline wavelets. There are only 4 terms in the two-scale dilation equations. This implies that the corresponding decomposition and reconstruction algorithms involve only 4 terms respectively which are simple in practical computation. The relation between the periodic wavelets and Fourier series is also discussed. |
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| Keywords: | box-spline periodic wavelet Fourier series |
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