[1]陈文胜,徐晨.高维非平稳标准正交Semi-MRA的构造[J].深圳大学学报理工版,2005,22(2):159-163.
 CHEN Wen-sheng and XU Chen.A multi-dimensional nonstationary orthonormal Semi-multiresolutiion algorithm[J].Journal of Shenzhen University Science and Engineering,2005,22(2):159-163.
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高维非平稳标准正交Semi-MRA的构造()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第22卷
期数:
2005年2期
页码:
159-163
栏目:
数学与应用数学
出版日期:
2005-04-30

文章信息/Info

Title:
A multi-dimensional nonstationary orthonormal Semi-multiresolutiion algorithm
文章编号:
1000-2618(2005)02-0159-05
作者:
陈文胜徐晨
深圳大学理学院,深圳 518060
Author(s):
CHEN Wen-sheng and XU Chen
College of Science Shenzhen University Shenzhen 518060 P.R. China
关键词:
非平稳子分法正交Semi-MRA 尺度函数小波细分方程
Keywords:
nonstationary subdivision schemes orthonormal Semi-MRA scaling function wavelet refinement equation
分类号:
O 174. 2
文献标志码:
A
摘要:
利用高维非平稳子分法的极限函数构造一组Cc( Rd)的尺度函数φj(x)(j≥0)进而构造出高维非平稳Semi多分辫率分析{VJ}J≥0,证明了该组非平稳Semi多分辫率分析在一定条件下可生成非平稳标准正交Semi-MRA,且该条件是必要的.
Abstract:
A multi-dimensional nonstationary orthonormal semi-multiresolution algorithm was constructed. The limit functions of a multidimensional nonstationary subdivision algorithm were used to create a series of scaling functions φj(x)(j≥0) in space Cc( Rd). Subsequently, multi-dimensional Semi-MRA {VJ}J≥0 was built using these scaling functions.This nonstationary Semi-MRA generated a nonstationary orthonormal Semi-MRA under certain conditions. These conditions are specified.
更新日期/Last Update: 2015-10-16