Fractscript: A macro for calculating the fractal dimension of object perimeters in images of multiple objects

Citation
Cg. Dillon et al., Fractscript: A macro for calculating the fractal dimension of object perimeters in images of multiple objects, COMPUT GEOS, 27(7), 2001, pp. 787-794
Citations number
14
Categorie Soggetti
Earth Sciences
Journal title
COMPUTERS & GEOSCIENCES
ISSN journal
00983004 → ACNP
Volume
27
Issue
7
Year of publication
2001
Pages
787 - 794
Database
ISI
SICI code
0098-3004(200108)27:7<787:FAMFCT>2.0.ZU;2-H
Abstract
Fractscript is a macro that uses the box-counting technique to calculate th e fractal dimension of multiple objects within an individual image. This pa per describes Fractscript and verifies its results using objects with known fractal dimension, The concept of fractal dimensions aids in the understan ding and partial ordering of apparently random geological forms. By reducin g user input and standardising any approach to the calculation of the fract al dimension, the automation of techniques that can be used to calculate th e fractal dimension of geological material may prove to be both expedient a nd accurate. The macro was also tested successfully on images from thin sec tions of sandstones, focusing on individual porel outlines, the results of which are presented as examples. (C) 2001 Published by Elsevier Science Ltd .