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Fast Wavelet Techniques For Near-Optimal Image Processing (1992)  (Make Corrections)  (19 citations)
Ronald A. DeVore Bradley J. Lucier Department of Mathematics Department of...



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Abstract: this paper we present a unified mathematical approach that allows one to formulate both linear and nonlinear algorithms in terms of minimization problems related to the so-called K-functionals of harmonic analysis. We then summarize the previously developed mathematics that analyzes the image compression and Gaussian noise removal algorithms. We do not know of a specific formulation of the image reconstruction problem that supports an analysis or even definition of optimal solution. Although... (Update)

Context of citations to this paper:   More

.... Wavelet thresholding for signal denoising sets small coefficients to zero, yielding an analytical compression of the signal (cf. [13, 12, 14, 11, 5]) In a series of papers, Donoho and Johnstone [13, 12, 14] assume the following additive, white noise model in the wavelet...

.... In particular, 12 nonlinear advection dominated transport has been studied with hybrid wavelets to isolate and resolve fronts [23, 24, 25, 26, 27]. Parameter Estimation, Geostatistics, and Site Studies To simulate multiphase flow through porous media, accurate estimates of...

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SUBMITTED TO IEEE TRANSACTIONS ON IMAGE PROCESSING 1.. - Denoising And..   (Correct)
Adaptive Wavelet Thresholding for Image Denoising and.. - Chang, Yu, Vetterli (2000)   (Correct)
Wavelet-Based Denoising by Customized Thresholding - Yoon, Vaidyanathan (2004)   (Correct)

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12:   Ideal spatial adaptation via wavelet shrinkage (context) - Donoho, Johnstone - 1992
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BibTeX entry:   (Update)

R.A. DeVore and B.J. Lucier, Fast wavelet techniques for near-optimal image processing, Proc. IEEE Mil. Comm. Conf. 1992, IEEE Comm. Soc., New York. http://citeseer.ist.psu.edu/devore92fast.html   More

@misc{ devore92fast,
  author = "R. DeVore and B. Lucier",
  title = "Fast wavelet techniques for near-optimal image processing",
  text = "R.A. DeVore and B.J. Lucier, Fast wavelet techniques for near-optimal image
    processing, Proc. IEEE Mil. Comm. Conf. 1992, IEEE Comm. Soc., New York.",
  year = "1992",
  url = "citeseer.ist.psu.edu/devore92fast.html" }
Citations (may not include all citations):
1526   Ten Lectures on Wavelets (context) - Daubechies - 1992
470   Spline Models for Observational Data (context) - Wahba - 1990
209   Optimal approximations by piecewise smooth functions and ass.. (context) - Mumford, Shah - 1989
202   Ideal spatial adaptation by wavelet shrinkage - Donoho, Johnstone
134   Minimax estimation via wavelet shrinkage - Donoho, Johnstone
106   Compression of wavelet decompositions (context) - DeVore, Jawerth et al.
73   Interpolation of Besov spaces (context) - DeVore, Popov - 1988
55   Ondelettes et Operateurs I: Ondelettes (context) - Meyer - 1990
47   IEEE Signal Processing Magazine (context) - Rioul, Vetterli et al. - 1991
26   Interpolation Spaces: An Introduction (context) - Bergh, Lofstrom - 1976
16   Bayesian estimation of transmission tomograms using segmenta.. - Bouman, Sauer - 1992
10   Cambridge University Press (context) - Acta, Iserles - 1992
9   Data compression using wavelets: Error (context) - DeVore, Jawerth et al. - 1991
7   High-performance compression of astronomical images (context) - White - 1992
7   Computer Aided Geom (context) - compression
4   Nonlinear wavelet approximations in the space C (context) - DeVore, Petrushev et al. - 1991
4   Nonlinear wavelet algorithms for removing Gaussian noise (context) - DeVore, Lucier
3   widths and Approximation Theory (context) - Pinkus - 1985
3   Special issue on Wavelet Transforms and Multiresolution Anal.. (context) - through, coding et al. - 1992
3   Approximation Theory VI: Vol (context) - DeVore, Yu et al. - 1989



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