| 紧支撑三元正交小波滤波器的参数化 |
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| 引用本文： | 黄永东,程正兴.紧支撑三元正交小波滤波器的参数化[J].应用数学学报,2006,29(5):901-911. |
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| 作者姓名： | 黄永东 程正兴 |
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| 作者单位： | 1. 西安交通大学理学院,西安,710049;西北第二民族学院信息与系统科学研究所,银川,750021
2. 西安交通大学理学院,西安,710049 |
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| 摘 要： | 高维小波分析是分析和处理多维数字信号的有力工具．非张量积多元小波被广泛地应用在模式识别、纹理分析和边缘检测等领域．本文给出方体域上三元正交滤波器的一种参数化构造算法,三元小波滤波器的这种构造方法使我们能更方便地研究非张量积的三元正交小波．最后给出数值算例．
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| 关 键 词： | 紧支撑 正交小波滤波器 参数化 多元小波 张量积 |
| 收稿时间： | 2005-04-02 |
| 修稿时间： | 2005-04-022006-07-10 |
Parametrization of Compactly Supported Trivariate Orthogonal Wavelet Filter |
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| HUANG YONGDONG,CHENG ZHENGXING.Parametrization of Compactly Supported Trivariate Orthogonal Wavelet Filter[J].Acta Mathematicae Applicatae Sinica,2006,29(5):901-911. |
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| Authors: | HUANG YONGDONG CHENG ZHENGXING |
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| Abstract: | Multivariate wavelets analysis axe powerful tool for multi-dimension signal processing. Non-tensor multivariate wavelets was wildly used in pattern recognition and texture analysis and edge detection. In this paper, we give an algorithm of parametric representation compactly supported trivatiate orthogonal wavelet filter. This representation simplifies the study of trivariate orthogonal wavelet. Four examples are alse given to demonstrate the method. |
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| Keywords: | compactly supported orthogonal wavelets filters parametrization multivariate wavelet tensor product |
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