n维特殊伸缩矩阵的构造与n维广义插值细分函数向量  

THE CONSTRUCTION OF n-DIMENSIONAL SPECIAL DILATION MATRIX AND n-DIMENSIONAL GENERALIZED INTERPOLATING REFINABLE FUNCTION VECTOR

作　　者：王刚[1] 周小辉[2] 王宝勤[1] 

机构地区：[1]新疆师范大学数学科学学院,乌鲁木齐830054 [2]石河子大学理学院数学系,新疆石河子832061

出　　处：《计算数学》2013年第4期377-384,共8页Mathematica Numerica Sinica

基　　金：新疆维吾尔自治区高校科研计划青年教师培育基金(XJEDU2009S67)

摘　　要：本文构造了一种特殊的n维特殊伸缩矩阵,且定义了n维正交广义插值多小波.基于这种特殊的伸缩矩阵,讨论n维正交广义插值多小波的构造算法.并且最后给出了算例.In this paper, a special kind of n-dimensional special dilation matrix is constructed, And the n-dimensional orthogonal generalized interpolating wavelet is defined. Based on this special dilation matrix, the n-dimensional orthogonal generalized interpolating wavelet construction algorithm is disscussed. At last an example is given.

关 键 词：伸缩矩阵 广义插值 多小波 

分 类 号：O174.2[理学—数学]