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2-D NONSEPARABLE SCALING FUNCTIONINTERPOLATION AND APPROXIMATION

2-D NONSEPARABLE SCALING FUNCTION INTERPOLATION AND APPROXIMATION

作     者:En-Bing, Lin Yi Ling (Department of Mathematics. University of Toledo, Toledo, OH .43606, USA) 

作者机构:Univ Toledo Dept Math Toledo OH 43606 USA 

出 版 物:《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))

年 卷 期:2002年第22卷第1期

页      面:19-31页

核心收录:

学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学] 

主  题:Wavelets nonseparable scaling function interpolation accuracy of scaling function. 2-D MRA 

摘      要:The authors introduce nonseparable scaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. Several equivalent statements of accuracy of nonseparable scaling function are also given. In the numerical experiments, it appears that nonseparable scaling function interpolation has better convergence results than scalar wavelet systems in some cases.

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