摘要
通过二维四向多加细函数以及二维四向多小波的概念,推广二尺度二维四向正交多小波为a尺度二维四向双正交多小波,更进一步对于a尺度二维四向双正交多加细函数和多小波的构造算法做出了相应给出,最后研究了a尺度二维四向多小波的Mallat算法。
Through the concept of two dimensional four-direction multi-scaling function and two dimensional four-direction multi-wavelet, the two dimensional four-direction orthogonal multi-wavelet with dilation factor two is generalized to two dimensional biorthogonal multi-wavelet with dilation factor a. Furthermore, the construction algorithm of two dimensional biorthogonal multi-scaling function and multi-wavelet with dilation factor a is given. Finally, the Mallat algorithm of two dimensional four-direction multi-wavelet with dilation factor a is studied.
出处
《理论数学》
2019年第9期1015-1035,共21页
Pure Mathematics
