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Construction of Algebraic Wavelet Coefficients
"... this paper we discuss a method for construction of algebraic wavelet coefficients, i.e., wavelet coefficients lying in an algebraic extension field of Q: The method relies on a strengthened version of a theorem due to L. FEJ ER and F. RIESZ. As an application, we prove that the Daubechies wavelets ..."
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this paper we discuss a method for construction of algebraic wavelet coefficients, i.e., wavelet coefficients lying in an algebraic extension field of Q: The method relies on a strengthened version of a theorem due to L. FEJ ER and F. RIESZ. As an application, we prove that the Daubechies wavelets
Adaptive Thresholding Of Wavelet Coefficients
 Computational Statistics and Data Analysis
, 1996
"... Wavelet techniques have become an attractive and efficient tool in function estimation. Given noisy data, its discrete wavelet transform is an estimator of the wavelet coefficients. It has been shown by Donoho and Johnstone (1994) that thresholding the estimated coefficients and then reconstructing ..."
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Cited by 70 (11 self)
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Wavelet techniques have become an attractive and efficient tool in function estimation. Given noisy data, its discrete wavelet transform is an estimator of the wavelet coefficients. It has been shown by Donoho and Johnstone (1994) that thresholding the estimated coefficients and then reconstructing
A Parametric Texture Model based on Joint Statistics of Complex Wavelet Coefficients
 INTERNATIONAL JOURNAL OF COMPUTER VISION
, 2000
"... We present a universal statistical model for texture images in the context of an overcomplete complex wavelet transform. The model is parameterized by a set of statistics computed on pairs of coefficients corresponding to basis functions at adjacent spatial locations, orientations, and scales. We de ..."
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Cited by 409 (13 self)
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We present a universal statistical model for texture images in the context of an overcomplete complex wavelet transform. The model is parameterized by a set of statistics computed on pairs of coefficients corresponding to basis functions at adjacent spatial locations, orientations, and scales. We
Reconstruction of Wavelet Coefficients
"... A comparative study of different methods of reconstruction of wavelet coefficients is presented. The following are the different techniques for the reconstruction of wavelet coefficients. To start with, we show how to design and construct Daubechies four coefficient wavelet system which are orthogon ..."
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A comparative study of different methods of reconstruction of wavelet coefficients is presented. The following are the different techniques for the reconstruction of wavelet coefficients. To start with, we show how to design and construct Daubechies four coefficient wavelet system which
On the Estimation of Wavelet Coefficients
, 2000
"... In wavelet representations, the magnitude of the wavelet coefficients depends on both the smoothness of the represented function f and on the wavelet. We investigate the extreme values of wavelet coefficients for the standard function spaces A k = ff j kf (k) k 2 1g, k 2 N. In particular, we com ..."
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Cited by 1 (1 self)
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In wavelet representations, the magnitude of the wavelet coefficients depends on both the smoothness of the represented function f and on the wavelet. We investigate the extreme values of wavelet coefficients for the standard function spaces A k = ff j kf (k) k 2 1g, k 2 N. In particular, we
Explicit Inequalities for Wavelet Coefficients
"... A fundamental principle for many applications of wavelets is that the size of the wavelet coefficients indicates the local smoothness of the represented function f . We show how explicit and best possible a priori bounds for wavelet coefficients can be obtained for any wavelet from the coefficients ..."
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A fundamental principle for many applications of wavelets is that the size of the wavelet coefficients indicates the local smoothness of the represented function f . We show how explicit and best possible a priori bounds for wavelet coefficients can be obtained for any wavelet from the coefficients
Wavelet Shrinkage With Correlated Wavelet Coefficients
 Proceedings of the 8th ICIP
, 2001
"... This paper investigates the statistical characterization of multiscale wavelet coefficients corresponding to random signals and images. Virtually all approaches to wavelet shrinkage model the wavelet coefficients as independent; we challenge that assumption and demonstrate several cases where subst ..."
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Cited by 3 (1 self)
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This paper investigates the statistical characterization of multiscale wavelet coefficients corresponding to random signals and images. Virtually all approaches to wavelet shrinkage model the wavelet coefficients as independent; we challenge that assumption and demonstrate several cases where
WAVELET SHRINKAGE WITH CORRELATED WAVELET COEFFICIENTS
"... This paper investigates the statistical characterization of multiscale wavelet coefficients corresponding to random signals and images. Virtually all approaches to wavelet shrinkage model the wavelet coefficients as independent; we challenge that assumption and demonstrate several cases where substa ..."
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This paper investigates the statistical characterization of multiscale wavelet coefficients corresponding to random signals and images. Virtually all approaches to wavelet shrinkage model the wavelet coefficients as independent; we challenge that assumption and demonstrate several cases where
On the Computation of Wavelet Coefficients
, 1999
"... We consider fast algorithms of wavelet decomposition of a function f when discrete observations of f (suppf ` [0; 1]) are available. The properties of the algorithms are studied for three types of observation design: the regular design, when the observations f(x i ) are taken on the regular grid x ..."
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Cited by 20 (2 self)
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We consider fast algorithms of wavelet decomposition of a function f when discrete observations of f (suppf ` [0; 1]) are available. The properties of the algorithms are studied for three types of observation design: the regular design, when the observations f(x i ) are taken on the regular grid x
Wavelet Coefficients of Levy Process
, 2010
"... HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."
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HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et a ̀ la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
Results 1  10
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