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

Taichi YOSHIDA; Taizo SUZUKI; Seisuke KYOCHI; Masaaki IKEHARA

doi:10.1587/transfun.E94.A.1920

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

Taichi YOSHIDA, Taizo SUZUKI, Seisuke KYOCHI, Masaaki IKEHARA

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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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.10 pp.1920-1927

Publication Date: 2011/10/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E94.A.1920

Type of Manuscript: PAPER

Category: Digital Signal Processing

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Taichi YOSHIDA, Taizo SUZUKI, Seisuke KYOCHI, Masaaki IKEHARA, "Two Dimensional Non-separable Adaptive Directional Lifting Structure of Discrete Wavelet Transform" in IEICE TRANSACTIONS on Fundamentals, vol. E94-A, no. 10, pp. 1920-1927, October 2011, doi: 10.1587/transfun.E94.A.1920.
Abstract: 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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.1920/_p

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@ARTICLE{e94-a_10_1920,
author={Taichi YOSHIDA, Taizo SUZUKI, Seisuke KYOCHI, Masaaki IKEHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Two Dimensional Non-separable Adaptive Directional Lifting Structure of Discrete Wavelet Transform},
year={2011},
volume={E94-A},
number={10},
pages={1920-1927},
abstract={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.},
keywords={},
doi={10.1587/transfun.E94.A.1920},
ISSN={1745-1337},
month={October},}

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TY - JOUR
TI - Two Dimensional Non-separable Adaptive Directional Lifting Structure of Discrete Wavelet Transform
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1920
EP - 1927
AU - Taichi YOSHIDA
AU - Taizo SUZUKI
AU - Seisuke KYOCHI
AU - Masaaki IKEHARA
PY - 2011
DO - 10.1587/transfun.E94.A.1920
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2011
AB - 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.
ER -