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Abstract: De-Noising with the traditional (orthogonal, maximally-decimated) wavelet transform sometimes exhibits visual artifacts; we attribute some of these -- for example, Gibbs phenomena in the neighborhood of discontinuities -- to the lack of translation invariance of the wavelet basis. One method to suppress such artifacts, termed "cycle spinning" by Coifman, is to "average out" the translation dependence. For a range of shifts, one shifts the data (right or left as the case may be), De-Noises the... (Update)
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BibTeX entry: (Update)
R. Coifman and D. Donoho, "Translation invariant de-noising," in Lecture Notes in Statistics: Wavelets and Statistics, vol. New York: Springer-Verlag, pp. 125--150, 1995. http://citeseer.ist.psu.edu/coifman95translationinvariant.html More
@techreport{ coifman95translationinvariant,
author = "R. R. Coifman and D. L. Donoho",
title = "Translation-Invariant De-Noising",
address = "Department of Statistics",
year = "1995",
url = "citeseer.ist.psu.edu/coifman95translationinvariant.html" }
Citations (may not include all citations):1526 Ten Lectures on Wavelets (context) - Daubechies - 1992
360 Entropy-based algorithms for best-basis selection - Coifman, Wickerhauser - 1992
260 Matching Pursuits with Time-Frequency Dictionaries - Mallat, Zhang - 1993
243 Ideal spatial adaptation via wavelet shrinkage (context) - Donoho, Johnstone - 1994
198 Wavelet Shrinkage: Asymptopia - Donoho, Johnstone et al. - 1995
194 Atomic Decomposition by Basis Pursuit - Chen, Donoho - 1995
193 Shiftable multiscale transforms - Simoncelli, Freeman et al. - 1992
108 Unconditional bases are optimal bases for data compression a.. - Donoho - 1993
70 The Stationary Wavelet Transform and some Statistical Applic.. - Guy - 1995
45 Wavelet analysis and signal processing - Coifman, Meyer et al. - 1992
44 Nonlinear Wavelet Methods for Recovery of Signals (context) - Donoho - 1993
41 Remarques sur l'analyse de Fourier `a fenetre (context) - Coifman, Meyer - 1991
16 On Minimum Entropy Segmentation - Donoho - 1994
12 Ideal Time-Frequency Denoising (context) - Donoho, Johnstone - 1994
11 Adapted Wavelet Analysis (context) - Wickerhauser - 1994
6 Wavelet Shrinkage and W (context) - Donoho - 1993
6 Wavelets and Adapted Waveform Analysis: A Toolkit for Signal.. (context) - Coifman, Wickerhauser - 1993
1 Wavelets: Algorithms and Applications Philadelphia: SIAM (context) - Meyer - 1993
1 Feature Extraction using Local Discriminant Basis (context) - Saito - 1994
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