Publication Date:
2017-04-04
Description:
Many profiles and surfaces of interest in geology and geophysics can be modelled by self-affine fractals. The divider
method was the first method introduced in fractal analysis, is generally suitable for self-similar fractals, and has been adapted
by Brown [1987] using a multi-step approach
to estimate the fractal dimension of self-affine profiles. Here, we improve the
method in order to be a 1-step technique, but showing also that it is in practice another form of the variance method. Then, we
generalise the divider method to self-affine fractal surfaces. The method is tested with application to synthetic one- and two-dimensional functions of known fractal dimension.
Description:
Published
Description:
2099-2102
Description:
JCR Journal
Description:
reserved
Keywords:
Fractal analysis
;
self-affine fractals
;
fractal dynamics
;
04. Solid Earth::04.05. Geomagnetism::04.05.05. Main geomagnetic field
;
05. General::05.05. Mathematical geophysics::05.05.99. General or miscellaneous
Repository Name:
Istituto Nazionale di Geofisica e Vulcanologia (INGV)
Type:
article
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