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Volume 27 Issue 11
Nov.  2005
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Ji Hu, Sun Ji-xiang, Cai Lu. A New Method for 2D Adaptive Lifting Wavelet Transform[J]. Journal of Electronics & Information Technology, 2005, 27(11): 1750-1754.
Citation: Ji Hu, Sun Ji-xiang, Cai Lu. A New Method for 2D Adaptive Lifting Wavelet Transform[J]. Journal of Electronics & Information Technology, 2005, 27(11): 1750-1754.

A New Method for 2D Adaptive Lifting Wavelet Transform

  • Received Date: 2004-07-23
  • Rev Recd Date: 2005-01-17
  • Publish Date: 2005-11-19
  • 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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  • 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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