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Nonlinear wavelet transforms for image coding via lifting

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4 Author(s)
Claypoole, R.L. ; Dept. of Electr. & Comput. Eng., Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA ; Davis, G.M. ; Sweldens, W. ; Baraniuk, R.G.

We investigate central issues such as invertibility, stability, synchronization, and frequency characteristics for nonlinear wavelet transforms built using the lifting framework. The nonlinearity comes from adaptively choosing between a class of linear predictors within the lifting framework. We also describe how earlier families of nonlinear filter banks can be extended through the use of prediction functions operating on a causal neighborhood of pixels. Preliminary compression results for model and real-world images demonstrate the promise of our techniques.

Published in:

Image Processing, IEEE Transactions on  (Volume:12 ,  Issue: 12 )

Date of Publication:

Dec. 2003

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