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Biorthogonal two-direction refinable function and two-direction wavelet

delete2006-11-01
delete25
PRE
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Shouzhi Yang *
DOI:10.1016/j.amc.2006.06.003delete
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Abstract

Abstract

En 中文
The concept of two-direction refinable function and two-direction wavelet is generalized to the biorthogonal setting. The definition of biorthogonal two-direction refinable function is introduced, and the biorthogonality criteria for two-direction refinable function is established. We present an algorithm for constructing a pair of biorthogonal two-direction refinable function and the corresponding biorthogonal two-direction wavelet. Finally, we give two examples illustrating how to use our method to construct a pair of biorthogonal refinable function and its corresponding biorthogonal two-direction wavelet pair. (c) 2006 Elsevier Inc. All rights reserved.
Keywords:
two-direction refinable function
two-direction wavelet
positive-direction mask
negative-direction mask
biorthogonal
two-direction refinable equation

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

No organization information available