2-D dual multiresolution decomposition through NUDFB and its application

Abstract

This paper aims to attain sparser representation of a 2-D signal by introducing orientation resolution as a second multiresolution besides multiscale, which is formulated to achieve a dual multiresolution decomposition framework by nonuniform directional frequency decompositions (NUDFB) under arbitrary scales. In this scheme, NUDFB is fulfilled by changing the topology structure of a non-symmetric binary tree (NSBT). Through this nonuniform division, we can get arbitrary orientation resolution r at a direction of c2-r under a target scale. Every two-channel filter bank on each node of this NSBT is designed to be a paraunitary perfect reconstruction filter bank, so NUDFB is an orthogonal filter bank. This dual multiresolution decomposition will definitely have bright prospect in its application, such as texture analysis, image processing or video coding. A potential application is presented by applying NUDFB in wavelet domain.