| 由最优双正交小波变换矩阵决定的小波基 |
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| 引用本文： | 邹庆云,王国秋,王真伟.由最优双正交小波变换矩阵决定的小波基[J].江西师范大学学报(自然科学版),2009,33(1). |
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| 作者姓名： | 邹庆云 王国秋 王真伟 |
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| 作者单位： | 1. 湖南文理学院,数学与计算科学学院,湖南,常德,415000
2. 湖南师范大学,数学与计算机科学学院,湖南,长沙,410081 |
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| 基金项目： | 国家自然科学基金，南文理学院优秀青年项目 |
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| 摘 要： | 通过双正交小波变换矩阵的特征值分析给出了一个新的定义-最优双正交小波变换矩阵.实验验证了在相同的小波族中,由最优双正交小波变换矩阵决定的双正交(超)小波是"最优"小波.因此,在9-7小波族中,最优9-7小波在图像压缩的性能要优于常用的CDF97小波.
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| 关 键 词： | 2-循环矩阵 小波滤波器 最小矩阵 图像压缩 |
Wavelets Bases from Optimal Biorthogonal Wavelet Transform Matrix |
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| ZOU Qing-yun,WANG Guo-qiu,WANG Zhen-wei.Wavelets Bases from Optimal Biorthogonal Wavelet Transform Matrix[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2009,33(1). |
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| Authors: | ZOU Qing-yun WANG Guo-qiu WANG Zhen-wei |
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| Institution: | 1.Department of Mathematics and Computional Science;Hunan University of Arts and Science;ChangDe Hunan 415000;China;2.Department of Mathematics and Computer Science;Hunan Normal University;Changsha 410081;China |
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| Abstract: | As new concept,optimal biorthogonal wavelet transform matrix is put forward by exploring the eigenanalysis of the discrete hyper-wavelet transforms theory.Experimental results have shown that it is the optimal wavelet in the same biorthogonal wavelet family,which is designed by optimal biorthogonal wavelet transform matrix.Therefore,the optimal 9-7 tap wavelet has better performance than Cohen and Daubechies's 9-7 tap biorthogonal wavelet for many images. |
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| Keywords: | 2-circular matrix wavelet filters minimal matrix image compression |
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