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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. We incorporate this adaptivity into the redundant and non-redundant transforms; the resulting transforms... (Update)
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...at the boundaries is illustrated in Figure 13. Figure 14 shows the result on the example of Section 2.5. This approach is also used in [21, 22] in the framework of adaptive wavelet transforms. a) b) c) Figure 13: a) Symmetrical interpolation points away from the boundary....
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BibTeX entry: (Update)
@misc{ richard-adaptive,
author = "Roger Claypoole Richard",
title = "Adaptive Wavelet Transforms via Lifting",
url = "citeseer.ist.psu.edu/article/claypoole98adaptive.html" }
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360 Entropy based algorithms for best basis selection - Coifman, Wickerhauser - 1992
356 Multirate Systems and Filter Banks (context) - Vaidyanathan - 1992 ACM
211 Society for Industrial and Applied Mathematics (context) - Daubechies, on et al. - 1992
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186 Factoring wavelet transforms into lifting steps - Daubechies, Sweldens - 1998
156 Translation-invariant de-noising - Coifman, Donoho - 1995
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19 Recent Advances in Wavelet Analysis (context) - Schumaker, Webb - 1993
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15 Multiresolution signal decomposition schemes, part 1: Linear.. - Goutsias, Heijmans - 1998
14 A nonlinear subband decomposition with perfect reconstructio.. (context) - Hampson, Pesquet - 1996
7 A correlation-dependent model for denoising via nonorthogona.. - Berkner, Wells - 1998
6 Lifting construction of non-linear wavelet transforms (context) - Claypoole, Baraniuk et al. - 1998
4 Morphology-based perfect reconstruction filter banks (context) - Heijmans, Goutsias - 1998
3 Wedding the `a trous and Mallat algorithms (context) - Shensa - 1992
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