Name
Title | ||
|---|---|---|
Wavelets of vanishing moments and minimal filter norms and the application to image compression |
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 |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1109/ISSPA.2001.949787 | ISSPA |
Keywords | Field | DocType |
image coding,minimal synthesis norm,codecs,wavelet transforms,minimal filter norms,video compression,data compression,transform coding,vanishing moments,wavelet filters,filtering theory,biorthogonal coifman wavelets,image compression,mathematics,wavelet analysis,signal processing,management information systems,information technology | Computer vision,Coiflet,Gabor wavelet,Computer science,Discrete wavelet transform,Artificial intelligence,Biorthogonal system,Wavelet packet decomposition,Wavelet,Wavelet transform,Biorthogonal wavelet | Conference |
Volume | ISBN | Citations |
1 | 0-7803-6703-0 | 1 |
PageRank | References | Authors |
0.38 | 2 | 2 |