Abstract
We examine the central issues of 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.
Original language | English (US) |
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Title of host publication | Conference Record of the Asilomar Conference on Signals, Systems and Computers |
Editors | M.P. Farques, R.D. Hippenstiel |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 662-667 |
Number of pages | 6 |
Volume | 1 |
State | Published - 1998 |
Event | Proceedings of the 1997 31st Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2) - Pacific Grove, CA, USA Duration: Nov 2 1997 → Nov 5 1997 |
Other
Other | Proceedings of the 1997 31st Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2) |
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City | Pacific Grove, CA, USA |
Period | 11/2/97 → 11/5/97 |
ASJC Scopus subject areas
- Hardware and Architecture
- Signal Processing
- Electrical and Electronic Engineering