Characteristics of bivariate biorthogonal wavelet packets

Multivariate wavelets are a popular subject in science research. In this paper, the notion of univariate orthogonal wavelet packets is generalized. First, the definition of biorthogonal nonseparable bivariate wavelet packets is given and a procedure for constructing them is presented. Next, the bior...

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Published in2008 International Conference on Wavelet Analysis and Pattern Recognition Vol. 2; pp. 552 - 556
Main Authors Zhou, Jian-Feng, Liu, Yong
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2008
Subjects
Artificial neural networks
Biorthogonal Scaling Function
Biorthogonal Wavelet Packets
Equations
Fourier transforms
Multiresolution Analysis
Pattern recognition
Refinement Equation
Tensile stress
Wavelet analysis
Wavelet packets
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ISBN9781424422388
1424422388
ISSN2158-5695
DOI10.1109/ICWAPR.2008.4635841

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Abstract Multivariate wavelets are a popular subject in science research. In this paper, the notion of univariate orthogonal wavelet packets is generalized. First, the definition of biorthogonal nonseparable bivariate wavelet packets is given and a procedure for constructing them is presented. Next, the biorthogonality property of biorthogonal bivariate wavelet packets is investigated.
AbstractList Multivariate wavelets are a popular subject in science research. In this paper, the notion of univariate orthogonal wavelet packets is generalized. First, the definition of biorthogonal nonseparable bivariate wavelet packets is given and a procedure for constructing them is presented. Next, the biorthogonality property of biorthogonal bivariate wavelet packets is investigated.
Author Liu, Yong
Zhou, Jian-Feng
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Snippet Multivariate wavelets are a popular subject in science research. In this paper, the notion of univariate orthogonal wavelet packets is generalized. First, the...
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StartPage 552
SubjectTerms Artificial neural networks
Biorthogonal Scaling Function
Biorthogonal Wavelet Packets
Equations
Fourier transforms
Multiresolution Analysis
Pattern recognition
Refinement Equation
Tensile stress
Wavelet analysis
Wavelet packets
Title Characteristics of bivariate biorthogonal wavelet packets
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