Nonlinear wavelet transforms for image coding via lifting

Authors:
R. L. Claypoole;G. M. Davis;W. Sweldens;R. G. Baraniuk
Affiliations:
Dept. of Electr. & Comput. Eng., Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA;-;-;-
Venue:
IEEE Transactions on Image Processing
Year:
2003

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Abstract

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.