| 2-D NONSEPARABLE SCALING FUNCTIONINTERPOLATION AND APPROXIMATION |
| |
| 作者姓名： | En-Bing Lin Yi Ling |
| |
| 作者单位： | Department of Mathematics. University of Toledo，Toledo，OH .43606，USA |
| |
| 摘 要： | 1 IntroductionWe begin witl1 two fundanlental questious of apprdriation theory Namely given sam-ples of a square iutegrable signal dyadically spaced in tin1e, is it possible to reconstruct thesignal?How close can the original signal be aPprokimated from the knowledge of the samples?There are many dtherent approaches to answer these questiolls. In 81, Wells and Zhoushowed that a wavelet approalmatiou theorem is valid for degree 1wavelet systenis in whichone obtains second-order approximation…
|
| 收稿时间： | 3 April 2000 |
2-D NONSEPARABLE SCALING FUNCTION INTERPOLATION AND APPROXIMATION |
| |
| En-Bing,Lin Yi Ling.2-D NONSEPARABLE SCALING FUNCTIONINTERPOLATION AND APPROXIMATION[J].Acta Mathematica Scientia,2002,22(1):19-31. |
| |
| Authors: | EnBing Lin Yi Ling |
| |
| Institution: | Department of Mathematics, University of Toledo, Toledo, OH 43606, USA |
| |
| Abstract: | 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. |
| |
| Keywords: | Wavelets nonseparable scaling function interpolation accuracy of scaling function 2-D MRA |
| 本文献已被 CNKI 万方数据 ScienceDirect 等数据库收录！ |
