2-D nonseparable scaling function interpolation and approximation

En Bing Lin; Yi Ling

doi:10.1016/s0252-9602(17)30451-4

2-D nonseparable scaling function interpolation and approximation

En Bing Lin, Yi Ling

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	19-31
Number of pages	13
Journal	Acta Mathematica Scientia
Volume	22
Issue number	1
DOIs	https://doi.org/10.1016/s0252-9602(17)30451-4
State	Published - Jan 2002

Keywords

2-D MRA
Accuracy of scaling function
Interpolation
Nonseparable scaling function
Wavelets

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10.1016/s0252-9602(17)30451-4

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title = "2-D nonseparable scaling function interpolation and approximation",

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.",

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AB - 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.

KW - 2-D MRA

KW - Accuracy of scaling function

KW - Interpolation

KW - Nonseparable scaling function

KW - Wavelets

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2-D nonseparable scaling function interpolation and approximation

Abstract

Keywords

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