二维四向多小波的构造理论  

The Construction of Two-Dimensional Four-direction Multi-wavelet

作　　者：阿丽亚.玉山 吐尔洪.艾尔米丁 塔实甫拉提.艾孜孜 

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830054

出　　处：《四川师范大学学报（自然科学版）》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)

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.

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 

分 类 号：O174.2[理学—数学]