2-D nonseparable multiscaling function interpolation and approximation with an arbitrary dilation matrix

En Bing Lin; Yi Ling

doi:10.1016/S1007-5704(00)90012-1

2-D nonseparable multiscaling function interpolation and approximation with an arbitrary dilation matrix

En Bing Lin, Yi Ling

Mathematics

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

1 Scopus citations

Abstract

We introduce nonseparable multiscaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. An equivalent condition for approximation accuracy for nonseparable multiscaling function is also given.

Original language	English
Pages (from-to)	125-133
Number of pages	9
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	5
Issue number	3
DOIs	https://doi.org/10.1016/S1007-5704(00)90012-1
State	Published - 2000

Keywords

Approximation accuracy of scaling function
Interpolation
Nonseparable scaling function
Wavelets

Access to Document

10.1016/S1007-5704(00)90012-1

Cite this

@article{c02c45d14f4743e0b195a1e43a507e03,

title = "2-D nonseparable multiscaling function interpolation and approximation with an arbitrary dilation matrix",

abstract = "We introduce nonseparable multiscaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. An equivalent condition for approximation accuracy for nonseparable multiscaling function is also given.",

keywords = "Approximation accuracy of scaling function, Interpolation, Nonseparable scaling function, Wavelets",

author = "Lin, {En Bing} and Yi Ling",

year = "2000",

doi = "10.1016/S1007-5704(00)90012-1",

language = "English",

volume = "5",

pages = "125--133",

journal = "Communications in Nonlinear Science and Numerical Simulation",

issn = "1007-5704",

publisher = "Communications in Nonlinear Science and Numerical Simulation",

number = "3",

}

TY - JOUR

T1 - 2-D nonseparable multiscaling function interpolation and approximation with an arbitrary dilation matrix

AU - Lin, En Bing

AU - Ling, Yi

PY - 2000

Y1 - 2000

N2 - We introduce nonseparable multiscaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. An equivalent condition for approximation accuracy for nonseparable multiscaling function is also given.

AB - We introduce nonseparable multiscaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. An equivalent condition for approximation accuracy for nonseparable multiscaling function is also given.

KW - Approximation accuracy of scaling function

KW - Interpolation

KW - Nonseparable scaling function

KW - Wavelets

UR - http://www.scopus.com/inward/record.url?scp=0038704766&partnerID=8YFLogxK

U2 - 10.1016/S1007-5704(00)90012-1

DO - 10.1016/S1007-5704(00)90012-1

M3 - Article

AN - SCOPUS:0038704766

VL - 5

SP - 125

EP - 133

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

IS - 3

ER -

2-D nonseparable multiscaling function interpolation and approximation with an arbitrary dilation matrix

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this