Lifting for nonlinear wavelet processing

Roger L. Claypoole Jr.; Richard G. Baraniuk; Robert D. Nowak

doi:10.1117/12.366794

26 October 1999 Lifting for nonlinear wavelet processing

Roger L. Claypoole Jr., Richard G. Baraniuk, Robert D. Nowak

Proceedings Volume 3813, Wavelet Applications in Signal and Image Processing VII; (1999) https://doi.org/10.1117/12.366794
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

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.

Citation Download Citation

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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