Pair-Pair Angular Correlation Function

Filipe Leoncio Braga and Alexandre Barbosa de Souza

A chapter in Fractal Analysis - Applications in Health Sciences and Social Sciences from IntechOpen

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.

Keywords: characterization; correlation functions; fractal growth (search for similar items in EconPapers)
JEL-codes: I11 (search for similar items in EconPapers)
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.intechopen.com/chapters/54768 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ito:pchaps:113953

DOI: 10.5772/67940

Access Statistics for this chapter

More chapters in Chapters from IntechOpen
Bibliographic data for series maintained by Slobodan Momcilovic ().