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Adaptive Lifting Schemes With Perfect Reconstruction (2001)
| Venue: | IEEE Transactions on Signal Processing |
| Citations: | 30 - 2 self |
BibTeX
@ARTICLE{Piella01adaptivelifting,
author = {G. Piella and H. J. A. M. Heijmans and Henk J. A. M. Heijmans},
title = {Adaptive Lifting Schemes With Perfect Reconstruction},
journal = {IEEE Transactions on Signal Processing},
year = {2001},
volume = {50},
pages = {1620--1630}
}
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Abstract
In this paper, we propose a framework for constructing adaptive wavelet decompositions using the lifting scheme. A major requirement is that perfect reconstruction is possible without any overhead cost. In this paper we restrict ourselves to the update lifting stage. It is assumed that the update filter utilises local gradient information to adapt itself to the signal in the sense that smaller gradients `evoke' stronger update filters. As a result, sharp transitions in a signal will not be smoothed to the same extent as regions which are more homogeneous. The approach taken in this paper differs from other adaptive schemes found in the literature in the sense that that no bookkeeping is required in order to have perfect reconstruction. 2000 Mathematics Subject Classification: 42C40, 94A12 Keywords and Phrases: Signal processing, perfect reconstruction filter bank, wavelet, lifting scheme, update lifting, adaptive filter, gradient-based decision, threshold criterion. Note: This work was carried out under project PNA4.2 "Wavelets and Morphology". The research of the first author is sponsored by the Dutch Technology Foundation STW. 1.
Keyphrases
perfect reconstruction adaptive lifting scheme first author signal processing update lifting stage mathematics subject classification threshold criterion adaptive filter lifting scheme adaptive wavelet decomposition project pna4 update lifting update filter perfect reconstruction filter bank adaptive scheme overhead cost paper differs dutch technology foundation stw gradient-based decision sharp transition major requirement
