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A CLASS OF ORTHOGONAL TWO-DIRECTION REFINABLE FUNCTIONS AND TWO-DIRECTION WAVELETS

Department of Mathematics, Shantou University, Shantou, Guangdong 515063, P. R. China

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Department of Mathematics, Shantou University, Shantou, Guangdong 515063, P. R. China

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https://doi.org/10.1142/S0219691308002653Cited by:7 (Source: Crossref)

Abstract

In this paper, an algorithm for constructing a class of orthogonal two-direction refinable functions and the corresponding orthogonal two-direction wavelets is obtained. In addition, the relation of both two-direction refinable functions and multiwavelets is discussed. We discover that Chui–Lian's orthogonal symmetric/antisymmetric multiscaling functions and the corresponding multiwavelets can be recovered by using an orthogonal two-direction refinable function and the corresponding two-direction wavelets, respectively. Finally, some construction examples are given.

Keywords:

AMSC: 42C15, 94A12

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Vol. 06, No. 06

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History

Received 17 January 2008

Revised 23 April 2008

Keywords