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

Zhuhan Jiang, Xiling Guo

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)111-120
Number of pages10
JournalANZIAM Journal
Volume46
Issue number1
DOIs
Publication statusPublished - Jul 2004

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