Implicit image models in image fractal compression

Geoffrey M. Davis

doi:10.1117/12.255300

23 October 1996 Implicit image models in image fractal compression

Geoffrey M. Davis

Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255300
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

Why does fractal image compression work. What properties must an image have for fractal block coders to work well. What is the implicit image model underlying fractal image compression. The behavior of fractal block coders is clear for deterministically self-similar structures. In this paper we examine the behavior of these coders on statistically self-similar structures. Specifically, we examine their behavior for fractional Brownian motion, a simple texture model. Our analysis suggests that the properties necessary for fractal block coders to work well are not so dissimilar from those required by DCT and wavelet transform based coders. Fractal block coders work well for images consisting of ensembles of locally self-similar regions together with locally stationary regions with decaying power spectra, local statistical similarity, and local isotropy. Our analysis motivates a generalization of fractal block coders that leads to substantial improvements in coding performance and also illuminates some of the fundamental limitations of current fractal compression schemes.

Citation Download Citation

Geoffrey M. Davis "Implicit image models in image fractal compression", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255300

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