2-D NONSEPARABLE SCALING FUNCTIONINTERPOLATION AND APPROXIMATION  

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

出　　处：《Acta Mathematica Scientia》2002年第1期19-31,共13页数学物理学报（B辑英文版）

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.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.

关 键 词：WAVELETS nonseparable scaling function INTERPOLATION accuracy of scaling function. 2-D MRA 

分 类 号：O241.5[理学—计算数学]