Title :
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
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;
Conference_Titel :
Signal Processing and its Applications, Sixth International, Symposium on. 2001
Conference_Location :
Kuala Lumpur
Print_ISBN :
0-7803-6703-0
DOI :
10.1109/ISSPA.2001.949787
