Starting from any two given multiresolution analyses of , , and , we construct biorthogonal wavelet bases that are associated with this chosen pair of multiresolutions. Thus, our construction method takes a point of view opposite to the one of Cohen-Daubechies-Feauveau (CDF), which starts from a well-chosen pair of biorthogonal discrete filters. In our construction, the necessary and sufficient condition is the nonperpendicularity of the multiresolutions.
Katrin Beyer, Corentin Jean Dominique Fivet, Stefana Parascho, Qianqing Wang, Maxence Grangeot