一种对称正交多重小波构造方法与相关预滤波技术研究

A Kind of Symmetric Orthogonal Multiwavelets and the Associated Prefilter

多重小波分解在图像压缩中得到了很好的应用 .但目前已有的 2重对称小波如GHM ,由于生成小波的矩阵滤波器并不对称 ,因此在图像编码等应用中不能很好地解决边界重构问题 .文中提出了一种正交矩阵滤波器也对称的紧支集 2重对称正交小波构造方法 ,并且根据矩阵滤波器的频谱特性 ,分析了与之匹配的预滤波技术 .

This paper presents a new method to construct the symmetric orthogonal matrix filter which lead to the symmetric orthogonal multiwavelets(SOM). Moreover, authors analyze the prefilter technique corresponding to the symmetric orthogonal matrix filter to get a good combining frequency property. For checking the good property of SOM in image compression applications, authors compare the compression effect with other published work. Extensive experimental results demonstrate that the new symmetric orthogonal matrix filter combining with the prefilter technique exhibits performance equal to, or in several cases superior to the GHM and CL symmetric multiwavelets.