一种新的二维自适应提升小波变换方法

季虎; 孙即祥; 蔡璐

一种新的二维自适应提升小波变换方法

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出版历程
- 收稿日期: 2004-07-23
- 修回日期: 2005-01-17
- 刊出日期: 2005-11-19

A New Method for 2D Adaptive Lifting Wavelet Transform

摘要

摘要: 基于图像的局部特性和统计信息，该文提出一种新的二维自适应提升小波变换方法。该方法通过构造基于图像局部特性的自适应更新算子和基于图像统计信息的非线性预测算子，对图像进行自适应的提升小波变换，与文献中的自适应小波变换方法和非自适应小波变换方法进行对比实验，该文方法所得到的高频子带的熵更低，含零高频系数更多，更有利于图像的压缩编码。
- 图像处理;自适应小波;小波变换;预测提升;更新提升
Abstract: In this paper, a new method for 2D adaptive lifting wavelet transform is proposed, which suite for the task of image compression applications. It is based on a update lifting operator and a nonlinear prediction lifting operator according with certain local characteristic and statistical information of an image. Some experiment results show that the entropy of the coefficients in the transform domain obtained with this new method is smaller than that obtained with other adaptive wavelet transform method and non-adaptive wavelet transform, which can avoid quantization with the image detail signals being zero(or almost zero) at the smooth gray-level variation areas at big probability.

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参考文献(1)

Sweldens W. The lifting scheme: a new philosophy in biorthogonal wavelet constructions. In: Laine A F, Unser M. eds. Wavelet Applications in Signal and Image Processing III, Proc. 1995, SPIE 2569: 68-79.[2]Claypoole R L, Baraniukm R G, Nowark R D. Adaptive wavelet transform via lifting scheme. Proc. IEEE Conf. on Acoustics, Speech and Signal Processing, Phoenix, 1998,(5): 1513-1516.[3]Ho W J, Chang W T. Adaptive predictor based on maximally flat halfband filter in lifting scheme[J].IEEE Trans. on Signal Processing.1999, 47(11):2965-2977[4]Barret M, Bekkouche H. Adapted nonlinear multiresolution decomposition with applications in progressive lossless image coding . Published in Proc. ISPA, Pula, Croitia, 2001, (6): 1-6.[5]Piella G, Heijmans H J A M. Adaptive lifting schemes with perfect reconstruction. IEEE Trans. on Signal Processing . 2002,50(7): 1620-1630.[6]Heijmans H J A M, Pesquet-Popescu B, Piella G. Building nonredundant adaptive wavelets by update lifting. Research Report PNA-R02xx,CWI, Amsterdam, 2002.[7]Piella G, Heijmans H J A M, Pesquet-Popescu B. Adaptive update lifting with a decision rule based on derivative filters[J].IEEE Signal Processing Letter.2002, 9 (10):329-332[8]Heijmans H J A M, Piella G and Pesquet-Popescu B. Building adaptive 2D wavelet decompositions by update lifting. in: Proceedings of the IEEE International Conference on Image Processing (ICIP 2002), Rochester, USA, 2002, (1):[9]7-400.[10]Kretzmer E R. Statistics of television signals. The Bell System Technical Journal, 1952, 31(4): 751-763.

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