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Abstract: We describe several "wavelet transforms" which characterize smoothness spaces and for which the coefficients are obtained by sampling rather than integration. We use them to re-interpret the empirical wavelet transform, i.e. the common practice of applying pyramid filters to samples of a function. Key Words and Phrases. Interpolating Wavelet Transform. Interpolating Spline Wavelets. Interpolating Deslauriers-Dubuc Wavelets. Wavelet transforms of Sampled Data. Wavelet Interpolation of Sampled... (Update)
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BibTeX entry: (Update)
D. L. Donoho, Interpolating wavelet transforms. Preprint Department of Statistics, Stanford University, 1992. http://citeseer.ist.psu.edu/donoho92interpolating.html More
@techreport{ donoho92interpolating,
author = "David L. Donoho",
title = "Interpolating Wavelet Transforms",
year = "1992",
url = "citeseer.ist.psu.edu/donoho92interpolating.html" }
Citations (may not include all citations):1526 Ten Lectures on Wavelets (context) - Daubechies - 1992
770 Orthonormal bases of compactly supported wavelets (context) - Daubechies - 1988
451 Image coding using wavelet transforms (context) - Antonini, Barlaud et al. - 1991
243 Ideal spatial adaptation via wavelet shrinkage (context) - Donoho, Johnstone
195 Image compression through wavelet transform coding (context) - DeVore, Jawerth et al. - 1992
135 Symmetric iterative interpolation processes (context) - Deslauriers, Dubuc - 1989
106 Compression of Wavelet decompositions (context) - DeVore, Jawerth et al. - 1990
102 Interpolation through an iterative scheme (context) - Dubuc - 1986
73 Interpolation of Besov spaces (context) - DeVore, Popov - 1988
55 Ondelettes et op'erateurs I: Ondelettes (context) - Meyer
47 Interpolation dyadique (context) - Deslauriers, Dubuc - 1987
47 New thoughts on Besov Spaces (context) - Peetre - 1976
41 Ondelettes sur l'intervalle (context) - Meyer - 1991
36 Multiresolution analysis (context) - Cohen, Daubechies et al. - 1992
36 Multiresolution representations using the autocorrelation fu.. - Saito, Beylkin - 1992
18 Adapting to unknown smoothness by wavelet shrinkage (context) - Donoho, Johnstone
17 Polynomial Splines and Wavelets -- a signal processing persp.. (context) - Aldroubi, Unser - 1992
16 Degree of nonlinear approximation (context) - DeVore - 1989
14 Two-scale difference equations (context) - Daubechies, Lagarias - 1991
7 Surface Compression (context) - DeVore, Jawerth et al. - 1990
6 Cardinal interpolation and spline functions: II (context) - Schoenberg - 1972
5 Ondelettes et op'erateurs II: Op'erateurs de Calder'on-Zygmu.. (context) - Meyer
5 New minimax theorems (context) - Donoho, Johnstone
1 Approximation by spline interpolating bases (context) - Domsta - 1976
1 Schauder Bases in the Banach spaces C (context) - Schonefeld - 1972
1 bien localis'ees (context) - Jaffard - 1990
1 Ondelettes sans peine (context) - Lemari'e, Malgouyres - 1989
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