Title :
Zerotree wavelet coding using fractal prediction
Author :
Barthel, Kai Uwe ; Brandau, Sven ; Hermesmeier, Wolfgang ; Heising, Guido
Author_Institution :
Inst. fur Nachrischtentechnick und Theor. Electron., Tech. Univ. Berlin, Germany
Abstract :
Fractal image coding can be seen as spectral prediction of coefficients in the wavelet decomposition of an image. Fine scale coefficients are described by shifted and scaled coefficients from the next coarser frequency scale. We analyzed the ability of fractal coders to predict wavelet coefficients and found that the prediction of entire wavelet subtrees-as done by conventional spatial domain fractal coders-leads to poor coding results. This paper discusses how to design an improved fractal coder in the wavelet domain and proposes a new hybrid fractal-wavelet zerotree coding scheme. Although the coding results of the new coder outperform conventional fractal coders, they are unfortunately inferior compared with a pure wavelet version of this zerotree coder
Keywords :
fractals; image coding; prediction theory; transform coding; trees (mathematics); wavelet transforms; fine scale coefficients; fractal coder; fractal image coding; fractal prediction; frequency scale; hybrid fractal-wavelet zerotree coding scheme; scaled coefficients; shifted coefficients; spectral prediction; wavelet coefficients; wavelet decomposition; wavelet domain; wavelet subtrees; zerotree wavelet coding; Discrete wavelet transforms; Encoding; Fractals; Frequency; Image coding; Quantization; Statistics; Wavelet analysis; Wavelet coefficients; Wavelet domain;
Conference_Titel :
Image Processing, 1997. Proceedings., International Conference on
Conference_Location :
Santa Barbara, CA
Print_ISBN :
0-8186-8183-7
DOI :
10.1109/ICIP.1997.638755