n维特殊伸缩矩阵的构造与n维广义插值细分函数向量

doi:10.12286/jssx.2013.4.377

计算数学 ›› 2013, Vol. 35 ›› Issue (4): 377-384.DOI: 10.12286/jssx.2013.4.377

n维特殊伸缩矩阵的构造与n维广义插值细分函数向量

王刚¹, 周小辉², 王宝勤¹

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

收稿日期:2013-01-08 出版日期:2013-11-15 发布日期:2013-12-03
通讯作者: 周小辉
基金资助:
新疆维吾尔自治区高校科研计划青年教师培育基金（XJEDU2009S67）。

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王刚, 周小辉, 王宝勤. n维特殊伸缩矩阵的构造与n维广义插值细分函数向量[J]. 计算数学, 2013, 35(4): 377-384.

Wang Gang, Zhou Xiaohui, Wang Baoqin. THE CONSTRUCTION OF n-DIMENSIONAL SPECIAL DILATION MATRIX AND n-DIMENSIONAL GENERALIZED INTERPOLATING REFINABLE FUNCTION VECTOR[J]. Mathematica Numerica Sinica, 2013, 35(4): 377-384.

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

Wang Gang¹, Zhou Xiaohui², Wang Baoqin¹

1. School of mathematical science, XinJiang normal univeisity, Urumqi 830054, China;
2. Department of Mathematics, Polytechnic Institute of Shihezi University, Shihezi 832003, China

Received:2013-01-08 Online:2013-11-15 Published:2013-12-03

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.

关键词： 伸缩矩阵, 广义插值, 多小波

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.

Key words: dilation matrix, generalized interpolation, multiwavelet

MR(2010)主题分类:

42C40
65T60

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摘要

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

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