A Necessary and Sufficient Contractivity Condition for the Fractal Transform Operator

Authors:
Mehran Ebrahimi
Affiliations:
Department of Medical Biophysics, University of Toronto, Imaging Research, Sunnybrook Health Sciences Centre, Toronto, Canada
Venue:
Journal of Mathematical Imaging and Vision
Year:
2009

Citing 7
Cited 0

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IEEE Transactions on Image Processing

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Abstract

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.