Analysis of a hybrid fractal-predictive-coding compression scheme

There has been tremendous progress in fractal compression since the pioneer work of Barnsley and Jacquin in the late 1980s. As the encoding time complexity issues are gradually being solved, there is a steady growth of applications of fractals, especially in hybrid systems. However, such fractal hybrid systems tend to be rather difficult to analyze, and part of that difficulty lies in the quantization of the scaling and luminance offset parameters adopted in most fractal compression schemes. In this paper, we present theoretical and empirical justification for a well-known but underused alternative parametrization for the fractal affine transform. In particular, we shall present a detailed analysis of a hybrid fractal-LPC (linear predictive coding) compression scheme using the aforementioned alternative affine transform parameters.