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A Correlation-Dependent Model for Denoising via Nonorthogonal Wavelet Transforms (1998)  (Make Corrections)  (7 citations)
Kathrin Berkner, Raymond O. Wells, Jr.



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Abstract: In many applications it is desirable to study nonorthogonal wavelet transforms. A translation-invariant wavelet transform is a nonorthogonal variant of the classical wavelet transform which plays an important role in denoising algorithms. However, it has been observed in many experiments that the thresholding scheme for the orthogonal DWT should be slightly modified for use in the translation-invariant setting. These observations motivate us to study denoising schemes for nonorthogonal wavelet... (Update)

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.... [17, 30, 45] Note that generally denoising and compression techniques should be modified when applying them to frames, see for example [3, 4]. There are a number of ways to generate wavelet frames. One way is to oversample a continuous time wavelet transform. Of greater...

...using decimated wavelet transforms have to be accordingly modified. A successful approach is the scaledependent thresholding scheme [1] for undecimated wavelet transform coefficients. In what follows we will develop an (undecimated) wavelet domain pixel by pixel adaptive...

Cited by:   More
Adaptive Wavelet Transforms via Lifting - Roger Claypoole Richard   (Correct)
Geometrical Priors for Noisefree Wavelet Coefficients in.. - Jansen, Bultheel   (Correct)
Modeling The Autocorrelation Of Wavelet Coefficients For .. - Zhang, Nosratinia, Wells   (Correct)

Active bibliography (related documents):   More   All
1.9:   Smoothness Estimates for Soft-Threshold Denoising Via.. - Berkner, Wells, Jr. (1998)   (Correct)
0.3:   Translation Invariant Multiwavelet Transforms - Berkner, Massopust (1998)   (Correct)
0.3:   A Variational Approach to Subdivision - Kobbelt (1995)   (Correct)

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0.3:   Noise Reduction Using an Undecimated Discrete Wavelet.. - Lang, Guo, Odegard, Burrus (1996)   (Correct)
0.3:   Non-Orthogonal Wavelet and Gabor Expansions, and Group.. - Feichtinger, Gröchenig   (Correct)
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3:   Translation invariant de-noising - Coifman, Donoho - 1995
3:   Noise reduction using an undecimated discrete wavelet transform - Lang, Guo et al. - 1996
3:   Entropybased algorithms for best basis selection - Coifman, Wickerhauser - 1992

BibTeX entry:   (Update)

K. Berkner and R. Wells, "A correlation-dependent model for denoising via nonorthogonal wavelet transforms," Rice Univeristy Technical Report, vol. CML TR 98--07, 1998. http://citeseer.ist.psu.edu/berkner98correlationdependent.html   More

@misc{ berkner98correlationdependent,
  author = "K. Berkner and R. Wells",
  title = "A correlation-dependent model for denoising via nonorthogonal wavelet transforms",
  text = "K. Berkner and R. Wells, A correlation-dependent model for denoising via
    nonorthogonal wavelet transforms, Rice Univeristy Technical Report, vol.
    CML TR 98--07, 1998.",
  year = "1998",
  url = "citeseer.ist.psu.edu/berkner98correlationdependent.html" }
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