Wavelets of vanishing moments and minimal filter norms and the application to image compression

Author

Jiang, Zhuhan ; Guo, Xiling

Author_Institution

Sch. of Inf. Technol., Univ. of Western Sydney, NSW, Australia

Volume

1

fYear

2001

fDate

2001

Firstpage

108

Abstract

Wavelet systems of a maximum number of balanced vanishing moments are known to be extremely useful in a variety of applications including image and video compression. J. Tian and R.O. Wells Jr (see "Vanishing moments and biorthogonal wavelet systems", Mathematics in Signal Processing IV, Oxford University Press, 1997) recently created a family of such wavelet systems, called the biorthogonal Coifman wavelets, which proved valuable in both mathematics and applications. We first present an extension of Tian and Wells\´ family of biorthogonal Coifman wavelets by recovering other "missing" members of the biorthogonal Coifman wavelet systems. We then propose and study the wavelet filters of the minimal synthesis norm. It is also demonstrated that an additional feature of the minimal norm will in general improve the compression performance of the codecs based on such wavelets

Keywords

data compression; filtering theory; image coding; transform coding; wavelet transforms; biorthogonal Coifman wavelets; codecs; image compression; minimal filter norms; minimal synthesis norm; vanishing moments; video compression; wavelet filters; Australia; Codecs; Fasteners; Image coding; Information technology; Management information systems; Mathematics; Nonlinear filters; Video compression; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing and its Applications, Sixth International, Symposium on. 2001

Conference_Location

Kuala Lumpur

Print_ISBN

0-7803-6703-0

Type

conf

DOI

10.1109/ISSPA.2001.949787

Filename

949787