| 新 Burt-Adelson双正交小波的优化设计 * |
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| 引用本文： | 刘在德,常晋义,聂盼红. 新 Burt-Adelson双正交小波的优化设计 *[J]. 计算机应用研究, 2008, 25(10): 3078-3080 |
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| 作者姓名： | 刘在德 常晋义 聂盼红 |
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| 作者单位： | (常熟理工学院计算机科学与工程学院 ,江苏常熟 215500) |
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| 基金项目： | 江苏省高校自然科学基础研究资助项目 ( 07KJD520005 ) ;常熟理工学院新引进教师科研启动基金资助项目 ( ky11520) ;常熟理工学院青年教师科研启动基金资助项目 ( ky200657) |
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| 摘 要： | 根据小波滤波器的精确重构条件 ,推导出 Burt-Adelson双正交小波滤波器组的参数表达式。该表达式参数可任意取值 ,因此能够随意构造具有不同特征的 Burt-Adelson小波。作为构造实例 ,构造出一个新的有理系数 Burt-Adelson小波 ,它具有优化的编码增益。实验表明 ,其图像压缩性能略低于 CDF-9 /7小波 ,但优于 JPEG 2000标准推荐的 7 /5小波 ;而且其提升小波变换的计算效率比 CDF-9 /7小波高 20%以上 ,也优于 7 /5小波。
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| 关 键 词： | 双正交小波 滤波器 离散小波变换 提升 图像编码 |
Optimization design of new Burt-Adelson biorthogonal wavelets |
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| LIU Zai-de,CHANG Jin-yi,NIE Pan-hong. Optimization design of new Burt-Adelson biorthogonal wavelets[J]. Application Research of Computers, 2008, 25(10): 3078-3080 |
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| Authors: | LIU Zai-de CHANG Jin-yi NIE Pan-hong |
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| Affiliation: | ( School of Computer Science & Engineering, Changshu Institute of Technology, Changshu Jiangsu 215500, China) |
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| Abstract: | This paper derived the parameter expressions of Burt-Adelson ( B-A) biorthogonal wavelet filter bank ( FB) family based on the perfect reconstruction condition of FB. By assigning arbitrary real number to this free parameter, any B-A wavelet with different features could be constructed with ease. As an instance, constructed a new rational-coefficient B-A waveletwith optimumcoding gain. Simulations show that the new B-A wavelet enjoys the image compression performance slightly inferior to that of the CDF-9 /7 wavelet by Cohen, Daubechies, and Feauveau; however surpasses the 7/5 wavelet recommended in JPEG 2000 standard. Moreover its corresponding lifting based discrete wavelet transform( DWT) gains an improvement of computational efficiency up to 20% over the CDF- 9/7, superior to 7 /5 wavelet also. |
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| Keywords: | biorthogonal wavelet filter bank discrete wavelet transform ( DWT) lifting image coding |
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