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Pair-Pair Angular Correlation Function

In: Fractal Analysis - Applications in Health Sciences and Social Sciences

Author

Listed:
  • Filipe Leoncio Braga
  • Alexandre Barbosa de Souza

Abstract

In addition to the Hausdorff dimension used as fractal characterization parameter, in general, correlation functions can also be employed for this purpose. Given the approximately pure random spatial dispersion of big part of natural fractals, with respect to the center of a reference frame, the most common use of the pair-to-pair correlation function has as main variable the radial distance between two elements of the fractal. Such an approach is extremely practical, since the fractal basic structure statistically presents some kind of isotropy. For the cases where the fractal growth is not isotropic, the use of a pair-to-pair angular correlation function can detect a fractal pattern may be worthy. This will be the topic that is going to be discussed in this chapter, how to implement, discuss and visualize a pair-to-pair angular correlation function.

Suggested Citation

  • Filipe Leoncio Braga & Alexandre Barbosa de Souza, 2017. "Pair-Pair Angular Correlation Function," Chapters, in: Fernando Brambila (ed.), Fractal Analysis - Applications in Health Sciences and Social Sciences, IntechOpen.
    • Handle: RePEc:ito:pchaps:113953
    DOI: 10.5772/67940
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    Cited by:

    1. Nicolás-Carlock, J.R. & Solano-Altamirano, J.M. & Carrillo-Estrada, J.L., 2020. "The dynamics of the angular and radial density correlation scaling exponents in fractal to non-fractal morphodynamics," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).

    More about this item

    Keywords

    characterization; correlation functions; fractal growth;
    All these keywords.

    JEL classification:

    • I11 - Health, Education, and Welfare - - Health - - - Analysis of Health Care Markets

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