小波与多尺度分析  

An Analysis of Wavelet and Multidimensions

作　　者：洛家华[1] 马文阁[1] 岳大鹏[1] 汪连级 

机构地区：[1]辽宁工学院总务处,辽宁锦州121001

出　　处：《辽宁工学院学报》1999年第4期38-40,62,共4页Journal of Liaoning Institute of Technology(Natural Science Edition)

基　　金：辽宁省教委基金

摘　　要：给出了小波的定义以及多分辨率分析的特点，指出了尺度函数与小波一起，决定了小波函数族的性质和特点，并给出了紧支集正交小波函数的构造特性，以及紧支集正交小波的性质，从而得出求解偏微分方程分层解的一种新方法，在解梯度变化较大的区域。The paper presents a definition of wavelet, and the features shown in the analysis by means of multiresolution ratio. It is pointed out that a function of scale together with wavelet decides both the nature and the characteristics in a function of the wavelet, with the structural property gained from a subset being orthogonal with a function of wavelet as well as the nature resulting from perpendicularity concerned. Hereby, a new method is reached to find a solution to a partial differential equation by means of hierarchy. As to solving the area of too much large gradient, the problem can be made to be of suballocation, instead of redividing this complete problem.

关 键 词：尺度函数 小波分析 多分辨率分析 多尺度分析 

分 类 号：O174.2[理学—数学]