Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (1): 19-31.

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2-D NONSEPARABLE SCALING FUNCTION INTERPOLATION AND APPROXIMATION

 En-Bing Lin, Yi Ling   

  1. Department of Mathematics, University of Toledo, Toledo, OH 43606, USA
  • Online:2002-01-14 Published:2002-01-14

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.

Key words: Wavelets, nonseparable scaling function, interpolation, accuracy of scaling function, 2-D MRA

CLC Number: 

  • 41A25
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