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Title:
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Nonlinear Wavelet Transforms for Image Coding |
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Author:
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Claypoole, Roger L.; Davis, Geoffrey; Sweldens, Wim; Baraniuk, Richard G.
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Type:
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Conference Paper |
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Citation:
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R. L. Claypoole, G. Davis, W. Sweldens and R. G. Baraniuk,"Nonlinear Wavelet Transforms for Image Coding," in Asilomar Conference on Signals, Systems, and Computers,, pp. 662-667. |
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Abstract:
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We examine the central issues of invertibility, stability, artifacts, and frequency-domain characteristics in the construction of nonlinear 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 nonlinearity for use in constructing nonlinear transforms: a set of linear predictors that are chosen adaptively using a nonlinear selection function. We also describe how earlier families of nonlinear 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. |
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Date Published:
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1997-11-01 |