Construction of bivariate nonseparable compactly supported biorthogonal wavelets

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.