Nonlinear Wavelet Transforms for Image Coding
Abstract
We examine the central issues invertibility, stability, artifacts, and frequency-domain characteristics in the construction of non-linear 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 non-linearity for use in constructing non-linear transforms: a set of linear predictors that are chosen adaptively using a non-linear selection function. We also describe how earlier families of non-linear 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1997
- Accession Number
- ADA487318
Entities
People
- Geoffrey Davis
- Richard G. Baraniuk
- Roger Claypoole
- Wim Sweldens
Organizations
- Rice University