Quincunx lifting scheme for lossy image compression

Quincunx sampling is of large interest for image coding applications. Recent remote sensors of satellites return quincunx sampled images. Moreover, a quincunx sampling allows the decomposition of the image into two channels and a twice as accurate multiresolution analysis as the dyadic one. This paper introduces a new construction of the quincunx wavelet transform. This new transform is a bidimensional extension of the factorization of a wavelet transform into a lifting scheme for finite and symmetrical low pass filters. The aim of this method is to deal with quincunx images with appropriate transforms while using advantages offered by the lifting scheme. This method allows us to find new efficient quincunx wavelet filters