多进制样条小波及其在图像压缩中的应用  

M-band Spline Wavelets and Its Application to Image Compression

作　　者：张钦礼[1] 何春江[1] 刘景旺[1] 

机构地区：[1]北华航天工业学院基础部,河北廊坊065000

出　　处：《北华航天工业学院学报》2010年第6期35-39,共5页Journal of North China Institute of Aerospace Engineering

基　　金：教育厅科研基金(JCB-2006-01-Z);廊坊科技局科研基金(2010013052);北华航天工业学院博士基金(ky-2009-05-B)

摘　　要：本文首先证明了样条尺度函数满足M(M为大于等于2的自然数)进制尺度方程,然后构造出了一类新的相应的多进制样条小波。构造方法简单灵活,且可根据需要构造具有高阶的消失矩、对称性、反对称性、光滑性、短支集等优良性质的小波,这些对信号处理是非常重要的。最后,将构造出的小波应用于图象的压缩,与一些常用的小波(如Daubechies小波、biorthogonal小波等)相比,具有更好的计算性能和压缩性能。This paper proposes a new method for constructing M-band spline wavelets.These wavelets not only have more freedom in the design than scalar wavelets,but also simultaneously possess many desired properties such as short support,high vanishing moment,symmetry,regularity and orthogonality.Finally,the spline wavelets are applied for image compression.The wavelets show the advantages of computation and compression compared with some frequently used wavelets such as Daubechies,Meyer and biorthogonal wavelets.

关 键 词：尺度函数 尺度方程 多进制小波 图象压缩 

分 类 号：O235[理学—运筹学与控制论]