| 具有特殊伸缩矩阵的三元不可分正交小波的构造 |
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| 引用本文： | 杨淼,黄永东,程正兴.具有特殊伸缩矩阵的三元不可分正交小波的构造[J].数学的实践与认识,2011,41(4). |
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| 作者姓名： | 杨淼 黄永东 程正兴 |
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| 作者单位： | 1. 北方民族大学,信息与系统科学研究所,宁夏,银川,750021
2. 西安交通大学,理学院,陕西,西安,710049 |
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| 基金项目： | 宁夏自然科学基金(NX0846); 宁夏高等学校科学技术研究(2010JY003) |
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| 摘 要： | 多元小波分析是分析和处理多维数字信号的有力工具.不可分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.给出了构造具有伸缩矩阵(101-1-110-10)的紧支撑三元不可分正交小波的算法,利用该算法得到的小波函数继承了来源于尺度函数和符号函数的对称性和消失矩性质,从而为这类小波在信号处理方面的应用提供了便利.最后给出了数值算例.
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| 关 键 词： | 紧支撑 不可分正交小波 对称性 消失矩 |
The Construction of Trivariate Nonseparable Orthogonal Wavelets with Special Dilation Matrix |
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| YANG Miao,HUANG Yongdong,CHENG Zheng-xing.The Construction of Trivariate Nonseparable Orthogonal Wavelets with Special Dilation Matrix[J].Mathematics in Practice and Theory,2011,41(4). |
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| Authors: | YANG Miao HUANG Yongdong CHENG Zheng-xing |
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| Institution: | YANG Miao~1,HUANG Yongdong~1,CHENG Zheng-xing~2 (1.Institute of Information and System Science,the North University for Ethnics,Yinchuan 750021,China) (2.Faculty of Science,Xi'an Jiaotong University,Xi'an 710049,China) |
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| Abstract: | Multi-dimensional wavelet analysis is powerful instrument to analysis and due to multidimensional digital signal.Nonseparable Multi-dimensional wavelet is widely used in modulation recognition,texture analysis,and boundary check and so on.In this paper,we provides an algorithm of construction of compactly supported trivariate nonseparable orthogonal wavelets with dilation matrix(101-1-110-10),wavelets inherit the symmetry of the corresponding scaling function and satisfy the vanishing moment condition origi... |
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| Keywords: | compactly supported nonseparable orthogonal wavelets symmetry vanishing moments |
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