A class of non-redundant directional filter banks

Abstract

In this paper, we propose a class of non-redundant directional filter banks (DFBs). It provides arbitrary number of subbands and therefore has the effective image representation ability. Furthermore, the non-redundancy property makes the proposed DFB suitable for applications requiring economical representations, such as image compression. The proposed DFB is constructed by using one-dimensional (1D) linear-phase M-channel filter banks and two-dimensional (2D) quadrant filter banks. Since only 1D operations are involved, it leads to low design complexity and simple implementation. To demonstrate the potential of the DFB, numerical experiments on nonlinear approximation are presented. The results show that the proposed DFBs have higher PSNR than the conventional wavelet transform and contourlet. © 2009 Springer-Verlag Berlin Heidelberg.