2008•Unpublished venueRequires access

Construction of bivariate nonseparable compactly supported biorthogonal wavelets

Jinsong Leng, Ting‐Zhu Huang, Ying-Ding Fu

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.

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Available abstract

Key concepts: Biorthogonal system, Bivariate analysis, Wavelet, Mathematics, Multiresolution analysis, Biorthogonal wavelet, Applied mathematics, Filter (signal processing)