A construction of multiresolution analysis on interval

Di Rong Chen; Dao Hong Xiang

doi:10.1007/s10114-005-0772-5

A construction of multiresolution analysis on interval

Di Rong Chen^*
, Dao Hong Xiang

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

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

2 Scopus citations

Abstract

We present a concrete method of constructing multiresolution analysis on interval. The method generalizes the corresponding results of Cohen, Daubechies and Vial [Appl. Comput. Harmonic Anal., 1(1993), 54-81]. By the use of the subdivision operator, the expressions of the constructed functions are more compact. Furthermore, the method reveals more clearly some properties of multiresolution analysis with certain approximation order.

Original language	English
Pages (from-to)	705-710
Number of pages	6
Journal	Acta Mathematica Sinica, English Series
Volume	23
Issue number	4
DOIs	https://doi.org/10.1007/s10114-005-0772-5
State	Published - Apr 2007

Keywords

Approximation order
Multiresolution analysis
Refinable function
Subdivision operator

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10.1007/s10114-005-0772-5

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AB - We present a concrete method of constructing multiresolution analysis on interval. The method generalizes the corresponding results of Cohen, Daubechies and Vial [Appl. Comput. Harmonic Anal., 1(1993), 54-81]. By the use of the subdivision operator, the expressions of the constructed functions are more compact. Furthermore, the method reveals more clearly some properties of multiresolution analysis with certain approximation order.

KW - Approximation order

KW - Multiresolution analysis

KW - Refinable function

KW - Subdivision operator

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DO - 10.1007/s10114-005-0772-5

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JO - Acta Mathematica Sinica, English Series

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ER -

A construction of multiresolution analysis on interval

Abstract

Keywords

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