A Necessary and Sufficient Contractivity Condition for the Fractal Transform Operator
This paper revisits the concept of fractal image coding and the contractivity conditions of the fractal transform operator. All such existing conditions are only sufficient. This paper formulates a necessary and sufficient condition for the contractivity of the fractal transform operator associated to a fractal code. Furthermore, analytical results on the convergence of the fractal image decoding will be derived.
contractivity condition fractal image coding fractal imaging contraction maps fixed point theorem convergence condition