Title :
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
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;
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
DOI :
10.1109/ICMLC.2008.4621034
