Claypoole, Roger L.Davis, GeoffreySweldens, WimBaraniuk, Richard G.2007-10-312007-10-311997-11-011997-11-01R. L. Claypoole, G. Davis, W. Sweldens and R. G. Baraniuk, "Nonlinear Wavelet Transforms for Image Coding," vol. 1, 1997.https://hdl.handle.net/1911/19802Conference PaperWe examine the central issues of invertibility, stability, artifacts, and frequency-domain characteristics in the construction of nonlinear analogs of the wavelet transform. The lifting framework for wavelet construction motivates our analysis and provides new insight into the problem. We describe a new type of nonlinearity for use in constructing nonlinear transforms: a set of linear predictors that are chosen adaptively using a nonlinear selection function. We also describe how earlier families of nonlinear filter banks can be extended through the use of prediction functions operating on a causal neighborhood. We present preliminary results for a synthetic test image.engDSP for CommunicationsConference paperhttp://dx.doi.org/10.1109/ACSSC.1997.680528