Nonlinear wavelet transforms for image coding via lifting.

Claypoole, Roger L; Davis, Geoffrey M; Sweldens, Wim; Baraniuk, Richard G · IEEE Trans Image Process · 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.