Results 1  10
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638
Adapting to unknown smoothness via wavelet shrinkage
 JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
, 1995
"... We attempt to recover a function of unknown smoothness from noisy, sampled data. We introduce a procedure, SureShrink, which suppresses noise by thresholding the empirical wavelet coefficients. The thresholding is adaptive: a threshold level is assigned to each dyadic resolution level by the princip ..."
Abstract

Cited by 1006 (18 self)
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also; if the unknown function has a smooth piece, the reconstruction is (essentially) as smooth as the mother wavelet will allow. The procedure is in a sense optimally smoothnessadaptive: it is nearminimax simultaneously over a whole interval of the Besov scale; the size of this interval depends
The Discrete Multiple Wavelet Transform and Thresholding Methods
 IEEE Transactions in Signal Processing
, 1996
"... Orthogonal wavelet bases have recently been developed using multiple mother wavelet functions. Applying the discrete multiple wavelet transform requires the input data to be preprocessed to obtain a more economical decomposition. We discuss the properties of several preprocessing methods and their e ..."
Abstract

Cited by 37 (3 self)
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Orthogonal wavelet bases have recently been developed using multiple mother wavelet functions. Applying the discrete multiple wavelet transform requires the input data to be preprocessed to obtain a more economical decomposition. We discuss the properties of several preprocessing methods
Texture classification by wavelet packet signatures
 IEEE Transaction PAMI
, 1993
"... This paper introduces a new approach tocharacterize textures at multiple scales. The performance of wavelet packet spaces are measured in terms of sensitivity and selectivity for the classi cation of twenty ve natural textures. Both energy and entropy metrics were computed for each wavelet packet a ..."
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Cited by 210 (3 self)
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This paper introduces a new approach tocharacterize textures at multiple scales. The performance of wavelet packet spaces are measured in terms of sensitivity and selectivity for the classi cation of twenty ve natural textures. Both energy and entropy metrics were computed for each wavelet packet
Multiple Shrinkage and Subset Selection in Wavelets
, 1997
"... This paper discusses Bayesian methods for multiple shrinkage estimation in wavelets. Wavelets are used in applications for data denoising, via shrinkage of the coefficients towards zero, and for data compression, by shrinkage and setting small coefficients to zero. We approach wavelet shrinkage by u ..."
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Cited by 142 (16 self)
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This paper discusses Bayesian methods for multiple shrinkage estimation in wavelets. Wavelets are used in applications for data denoising, via shrinkage of the coefficients towards zero, and for data compression, by shrinkage and setting small coefficients to zero. We approach wavelet shrinkage
Wavelets of multiplicity r
 Trans. Amer. Math. Soc
, 1994
"... Abstract. A multiresolution approximation (Km)m€Z of L2(R) is of multiplicity r> 0 if there are r functions <¡>x,..., <j>r whose translates form a Riesz basis for V $. In the general theory we derive necessary and sufficient conditions for the translates of <j>x,..., <j>r, ..."
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Cited by 89 (7 self)
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Abstract. A multiresolution approximation (Km)m€Z of L2(R) is of multiplicity r> 0 if there are r functions <¡>x,..., <j>r whose translates form a Riesz basis for V $. In the general theory we derive necessary and sufficient conditions for the translates of <j>x,..., <
Signal Preprocessing of Multiwavelets
, 1998
"... Orthogonal wavelet bases have been developed using multiple mother wavelet functions. Applying the discrete multiwavelet transform requires the input data to be preprocessed to obtain a more economical decomposition. Four characteristics of a preprocessing method are presented: length, degree, ortho ..."
Abstract

Cited by 1 (1 self)
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Orthogonal wavelet bases have been developed using multiple mother wavelet functions. Applying the discrete multiwavelet transform requires the input data to be preprocessed to obtain a more economical decomposition. Four characteristics of a preprocessing method are presented: length, degree
Applications of the wavelet multiplicity function
 Contemp. Math
, 1999
"... Abstract. This paper examines the wavelet multiplicity function. An explicit formula for the multiplicity function is derived. An application to operator interpolation is then presented. We conclude with several remarks regarding the wavelet connectivity problem. 1. ..."
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Cited by 2 (1 self)
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Abstract. This paper examines the wavelet multiplicity function. An explicit formula for the multiplicity function is derived. An application to operator interpolation is then presented. We conclude with several remarks regarding the wavelet connectivity problem. 1.
Smoothness of multiple refinable functions and multiple wavelets
 SIAM J. Matrix Anal. Appl
, 1999
"... Abstract. We consider the smoothness of solutions of a system of refinement equations written in the form φ = a(α)φ(2 ·−α), α∈Z where the vector of functions φ =(φ1,...,φr) T is in (Lp(R)) r and a is a finitely supported sequence of r × r matrices called the refinement mask. We use the generalized L ..."
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Cited by 33 (8 self)
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where the optimal smoothness can be given explicitly. We also apply our methods to the smoothness analysis of multiple wavelets. These examples clearly demonstrate the applicability and practical power of our approach.
Short Wavelets and Matrix Dilation Equations
, 1995
"... Scaling functions and orthogonal wavelets are created from the coefficients of a lowpass and highpass filter (in a twoband orthogonal filter bank). For "multifilters" those coefficients are matrices. This gives a new block structure for the filter bank, and leads to multiple scaling funct ..."
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Cited by 84 (10 self)
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Scaling functions and orthogonal wavelets are created from the coefficients of a lowpass and highpass filter (in a twoband orthogonal filter bank). For "multifilters" those coefficients are matrices. This gives a new block structure for the filter bank, and leads to multiple scaling
Results 1  10
of
638