摘要
高维小波是处理多维信息的工具 .本文给出的构造紧支撑不可分二元正交小波函数的算法 .当尺度函数的符号中所含因子 1 +z121 +z222 的幂指数r越高时 ,尺度函数越光滑 .
Multivariate wavelets are powerful tool for multi-dimension signal processing.But tensor product wavelets has a number of drawbacks.In this paper,we give an algorithm of construction compact support bivariate orthogonal scaling function whose dilation matrix is 2I,the correspond wavelets are also offered.Furthermore,when one of the two pameters l 1 and l 2 is not equal to 0,the wavelets are nonseperable.Example is also given in this paper.
出处
《应用数学》
CSCD
北大核心
2003年第1期49-54,共6页
Mathematica Applicata
关键词
尺度函数
光滑
不可分
正交小波
Dilation matrix
Non seperable
Orthogonal wavelet
