一类参数化的二元非分离小波研究

Research on Parametric 2-D Non-separable Wavelets

阐述了二维取样与二维小波的基础理论,在给定取样矩阵D=111-的基础上,利用尺度滤波器的低通性和一阶消失矩,获得了一类非分离的紧支正交尺度滤波器的参数表达式,并通过对滤波器的脉冲响应序列迭代,构造了非分离紧支小波基。

This paper discusses the basic theory about 2-D sampling and2-D wavelet,on the basis of the sampling matrix D=111- ,We have obtained the parametric formula of non-separable compact-support orthognal scaling filter,using the property of low-pass and one -order vanishing moment.We also construct non-separable compact-support wavelet by iterativing the pulse response of the filter.