Two Dimensional Non-separable Adaptive Directional Lifting Structure of Discrete Wavelet Transform

Taichi YOSHIDA  Taizo SUZUKI  Seisuke KYOCHI  Masaaki IKEHARA  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E94-A   No.10   pp.1920-1927
Publication Date: 2011/10/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E94.A.1920
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Digital Signal Processing
two dimensional non-separable lifting structure,  discrete wavelet transform,  adaptive directional filtering,  lossy and lossless image coding,  

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In this paper, we propose a two dimensional (2D) non-separable adaptive directional lifting (ADL) structure for discrete wavelet transform (DWT) and its image coding application. Although a 2D non-separable lifting structure of 9/7 DWT has been proposed by interchanging some lifting, we generalize a polyphase representation of 2D non-separable lifting structure of DWT. Furthermore, by introducing the adaptive directional filteringingto the generalized structure, the 2D non-separable ADL structure is realized and applied into image coding. Our proposed method is simpler than the 1D ADL, and can select the different transforming direction with 1D ADL. Through the simulations, the proposed method is shown to be efficient for the lossy and lossless image coding performance.