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26 October 1999 Lifting for nonlinear wavelet processing
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Abstract
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.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Roger L. Claypoole Jr., Richard G. Baraniuk, and Robert D. Nowak "Lifting for nonlinear wavelet processing", Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); https://doi.org/10.1117/12.366794
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