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A note on the extension of a family of biorthogonal Coifman wavelet systems

Published online by Cambridge University Press:  17 February 2009

Zhuhan Jiang  and
Xiling Guo
Zhuhan Jiang
Affiliation:
School of Computing and Information Technology, University of Western Sydney, Penrith South DC NSW 1797, Australia; e-mail: z.jiang@uws.edu.au.
Xiling Guo
Affiliation:
Management Information Systems, Australian Catholic University, Strathfield NSW 2135, Australia; e-mail: x.guo@mary.acu.edu.au.
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Abstract

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Wavelet systems with a maximum number of balanced vanishing moments are known to be extremely useful in a variety of applications such as image and video compression. Tian and Wells recently created a family of such wavelet systems, called the biorthogonal Coifman wavelets, which have proved valuable in both mathematics and applications. The purpose of this work is to establish along with direct proofs a very neat extension of Tian and Wells' family of biorthogonal Coifman wavelets by recovering other “missing” members of the biorthogonal Coifman wavelet systems.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 1 , July 2004 , pp. 111 - 120
Copyright
Copyright © Australian Mathematical Society 2004

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