Lifting for nonlinear wavelet processing
Roger L. Claypoole, Richard G. Baraniuk, Robert D. Nowak · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1999
This paper develops new algorithms for adapted multiscale analysis and signal adaptive wavelet transforms. We construct our adaptive transforms with the lifting scheme, which decomposes the wavelet transform into prediction and update stages. We adapt the prediction stage to the signal structure and design the update stage to preserve the desirable properties of the wavelet transform. The resulting scale and spatially adaptive transforms are extended to the image estimation problem; our new image transforms show improved denoising performance over existing (non-adaptive) orthogonal transforms.