TY - GEN
T1 - Wavelets of vanishing moments and minimal filter norms and the application to image compression
AU - Jiang, Zhuhan
AU - Guo, Xiling
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84904298622&partnerID=8YFLogxK
U2 - 10.1109/ISSPA.2001.949787
DO - 10.1109/ISSPA.2001.949787
M3 - Conference Paper
AN - SCOPUS:84904298622
SN - 0780367030
SN - 9780780367036
T3 - 6th International Symposium on Signal Processing and Its Applications, ISSPA 2001 - Proceedings; 6 Tutorials in Communications, Image Processing and Signal Analysis
SP - 108
EP - 111
BT - 6th International Symposium on Signal Processing and Its Applications, ISSPA 2001 - Proceedings; 6 Tutorials in Communications, Image Processing and Signal Analysis
PB - IEEE Computer Society
T2 - 6th International Symposium on Signal Processing and Its Applications, ISSPA 2001
Y2 - 13 August 2001 through 16 August 2001
ER -