A new combination of 1D and 2D filter banks for effective multiresolution image representation

In this paper, an effective multiresolution image representation using the combination of 2D quincunx filter bank (FB) and directional wavelet transform (WT) is presented. The proposed method yields simple implementation and low calculation costs compared to the other 1D and 2D FB combinations or adaptive directional WTs. Furthermore, it is a nonredundant transform and realizes quad-tree like multiresolution representation. In applications on nonlinear approximation and image coding, the proposed filter bank shows visual quality improvements and has higher PSNR.