Construction of bivariate nonseparable compactly supported biorthogonal wavelets

Author

Leng, Jin-Song ; Huang, Ting-Zhu ; Fu, Ying-ding

Author_Institution

Fac. of Appl. Math., Univ. of Electron. Sci. & Technol. of China, Chengdu

Volume

7

fYear

2008

fDate

12-15 July 2008

Firstpage

3625

Lastpage

3629

Abstract

Bivariate wavelets have become powerful tool of image processing. We get a method for constructing bivariate nonseparable compactly supported biorthogonal filters. These filters can generate bivariate nonseparable compactly supported biorthogonal scaling functions and the related wavelets based on the theory of bivariate multiresolution analysis. Finally, we give two simple numerical examples of bivariate nonseparable compactly supported biorthogonal filters satisfying the perfect reconstruction condition.

Keywords

image processing; wavelet transforms; biorthogonal filters; biorthogonal scaling functions; biorthogonal wavelets; bivariate multiresolution analysis; bivariate wavelets; image processing; Biomedical signal processing; Cybernetics; Filters; Harmonic analysis; Image coding; Image processing; Machine learning; Mathematics; Multiresolution analysis; Wavelet analysis; Biorthogonality; Bivariate multiresolution analysis; Bivariate nonseparable wavelets; Highpass filter; Lowpass filter;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2008 International Conference on

Conference_Location

Kunming

Print_ISBN

978-1-4244-2095-7

Electronic_ISBN

978-1-4244-2096-4

Type

conf

DOI

10.1109/ICMLC.2008.4621034

Filename

4621034