This paper introduces a new construction of quincunx wavelet transform. This new transform is a bidimensional extension of the factorization of wavelet transform into lifting scheme for finite and symmetrical low pass filters. The aim of this method is to deal with quincunx images by appropriate transforms while using advantages offered by the lifting scheme. Indeed, quincunx sampling is of big interest for image coding applications. For example recent remote sensors of satellites return quincunx sampled images. Moreover, a quincunx sampling allows the decomposition of the image into two channels and to have a twice as accurate multiresolution analysis as the dyadic one.
Annabelle Gouze, Marc Antonini, Michel Barlaud, "Quincunx filter lifting scheme for image coding," Proc. SPIE 3653, Visual Communications and Image Processing '99, (28 December 1998);