摘要
引入二维四向多加细函数和二维四向多小波的概念,并研究二维四向加细方程,建立二维四向多加细函数的正交准则,给出一类正交二维四向多加细函数和正交二维四向多小波的构造算法.
In this paper,the notions of two-dimensional four-direction multi-scaling function and the notion of two-dimensional four-direction multi-wavelet are introduced. The two-dimensional four-direction refinable equation is studied. The construction algorithm of two-dimensional four-direction multi-scaling function is offered. The construction algorithm of the corresponding orthogonal twodimensional four-direction multi-wavelet is offered also.
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2015年第5期667-677,共11页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金(61362039)
关键词
张量积
二维四向多加细函数
二维四向多小波
正交性
tensor-product
two-dimensional four-direction multi-scaling function
two-dimensional four-direction multi-wavelet
orthogonality
