Limited Selfsimilarity

  • H. R. Bittner
Conference paper
Part of the Beiträge zur Graphischen Datenverarbeitung book series (GRAPHISCHEN)


Measuring natural objects with biggest and smallest details at varied resolutions leads to fractal properties within certain limits. Thus selfsimilarity can be found only asymptotically in a confined range of scale. If the description is restricted to the selfsimilar range only, which may be far from the limits, the influence of all values outside this range, which can be measured with similar precision, is neglected. Depending on the actual task, this effect could be negligible, or considerable. In order to include the topological and the intermittent range for the description of architecture with small and medium range of selfsimilarity as well, the use of a log-logistic fitting function is proposed, taking into account also a fractal or topological scaling residue.


Fractal Property Small Detail Accessible Volume Similar Precision Selfsimilar Property 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • H. R. Bittner
    • 1
  1. 1.Institut für Biochemie und EndokrinologieGießenGermany

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