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

^*此作品的通讯作者

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	705-710
页数	6
期刊	Acta Mathematica Sinica, English Series
卷	23
期	4
DOI	https://doi.org/10.1007/s10114-005-0772-5
出版状态	已出版 - 4月 2007

访问文件

10.1007/s10114-005-0772-5

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{b133a8a17e1b4a86a374715764ca5041,

title = "A construction of multiresolution analysis on interval",

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.",

keywords = "Approximation order, Multiresolution analysis, Refinable function, Subdivision operator",

author = "Chen, \{Di Rong\} and Xiang, \{Dao Hong\}",

year = "2007",

month = apr,

doi = "10.1007/s10114-005-0772-5",

language = "英语",

volume = "23",

pages = "705--710",

journal = "Acta Mathematica Sinica, English Series",

issn = "1439-8516",

publisher = "Springer Verlag",

number = "4",

}

TY - JOUR

T1 - A construction of multiresolution analysis on interval

AU - Chen, Di Rong

AU - Xiang, Dao Hong

PY - 2007/4

Y1 - 2007/4

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/33947716312

U2 - 10.1007/s10114-005-0772-5

DO - 10.1007/s10114-005-0772-5

M3 - 文章

AN - SCOPUS:33947716312

SN - 1439-8516

VL - 23

SP - 705

EP - 710

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 4

ER -

A construction of multiresolution analysis on interval

摘要

访问文件

其它文件与链接

学术指纹

引用此