Image Compression predicated on Recurrent Iterated Function Systems

Abstract

Recurrent iterated function systems (RIFSs) are improvements of iterated function systems (IFSs) using elements of the theory of Marcovian stochastic processes which can produce more natural looking images. We construct new RIFSs consisting substantially of a vertical contraction factor function and nonlinear transformations. These RIFSs are applied to image compression.

11 pages, presented at 2nd International Conference on Mathematics & Statistics, 16-19 June, 2008, Athens, Greece

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• A Construction of the Best Fractal Approximation
• Estimation of errors on perturbation of function contractivity factors and box-counting dimension of hidden variable recurrent fractal interpolation function