纯二维5/3小波滤波器组的构造及其实现  

Construction and implement of true 2-D 5/3 wavelet filter banks

作　　者：于海艳[1] 徐妮妮[1] 

机构地区：[1]天津工业大学信息与通信工程学院,天津300160

出　　处：《天津工业大学学报》2010年第5期69-72,共4页Journal of Tiangong University

基　　金：国家自然科学基金资助项目(60602036)

摘　　要：如今比较通用的小波处理方式大都是一维的处理方式,二维小波的处理大部分也采用了行列分别处理,即转换成两个一维数据进行处理,这种对二维图像数据的处理方式不能完全符合人眼视觉特性的情况.因此,利用已有的5/3小波滤波器组,构造了基于5/3小波的纯二维5/3小波滤波器组.通过McClellan变换,从一维5/3小波滤波器演算出纯二维变换的滤波器系数,为使运算量降低,对其采取提升格式进行优化,最后给出其构造及实现过程和验证结果.Nowadays the 1-D wavelet handling way is commonly used,and the 2-D wavelet is mostly transformed into two 1-D arrays,namely doing the column transformation and row transformation.The method of the 2-D wavelet filter doing the transformations to the rows and columns respectively can′t meet the human visual characteristics completely,so by use of the existing 5/3 wavelet filter banks,true 2-D 5/3 wavelet transfor-mation by only doing one transformation to finish the former 2-D transformation is constructed.The true 2-D 5/3 wavelet transformation coefficients is deduced from the 1-D 5/3 wavelet through the McClellan transfor-mation.For further optimization and computation reductions,the uplifting schemes are adopted.Finally the construction and realization process and verification results are given.

关 键 词：5/3小波 纯二维小波变换 提升格式 对称延拓 

分 类 号：TN911.7[电子电信—通信与信息系统]