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Computational fractal geometry with WFA

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Abstract.

We define two measures of “fractalness” of gray-tone images: the degree of self-similarity and the gray-tone fractal dimension as a generalization of Minkovski dimension of compact sets. We show how to compute both these measures from the WFA-representation of a gray-tone image. Since we have developed a WFA-inference algorithm which computes a good approximation of any gray-tone image we can compute a close approximation of both our measures of fractalness for any gray-tone image.

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Authors and Affiliations

  1. Department of Computer Science, University of South Carolina, Columbia, SC 29208, USA, , , , , , US

    Karel Culik II

  2. Academy of Finland, Mathematics Department, University of Turku, FIN-20500 Turku, Finland, , , , , , FI

    Jarkko Kari

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  1. Karel Culik II
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  2. Jarkko Kari
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Received: 15 November 1994 / 6 October 1995

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Culik II, K., Kari, J. Computational fractal geometry with WFA . Acta Informatica 34, 151–166 (1997). https://doi.org/10.1007/s002360050077

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  • DOI: https://doi.org/10.1007/s002360050077

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