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Extremal Automata For Image Sharpening

Author

Listed:
  • GONZALO HERNANDEZ

    (HLRZ, Forschungszentrum Jülich Postfach 1913, D-5170 Jülich, Germany)

  • HANS J. HERRMANN

    (HLRZ, Forschungszentrum Jülich Postfach 1913, D-5170 Jülich, Germany)

  • ERIC GOLES

    (Departamento de Ingenieria Matemática, U. de Chile Casilla 170–3, Santiago, Chile)

Abstract

We study numerically the parallel iteration of Extremal Rules. For four Extremal Rules, conceived for sharpening algorithms for image processing, we measured, on the square lattice with Von Neumann neighborhood and free boundary conditions, the typical transient length, the loss of information and the damage spreading response considering random and smoothening random damage. The same qualitative behavior was found for all the rules, with no noticeable finite size effect. They have a fast logarithmic convergence towards the fixed points of the parallel update. The linear damage spreading response has no discontinuity at zero damage, for both kinds of damage. Three of these rules produce similar effects. We propose these rules as sharpening algorithms for image processing.

Suggested Citation

  • Gonzalo Hernandez & Hans J. Herrmann & Eric Goles, 1994. "Extremal Automata For Image Sharpening," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 5(06), pages 923-931.
    • Handle: RePEc:wsi:ijmpcx:v:05:y:1994:i:06:n:s0129183194001057
    DOI: 10.1142/S0129183194001057
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