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Authors: De Santis, A. 
Title: A direct divider method for self-affine fractal profiles and surfaces
Issue Date: 15-Aug-1997
Series/Report no.: 16 / 24 (1997)
Keywords: Fractal analysis
self-affine fractals
fractal dynamics
Subject Classification04. Solid Earth::04.05. Geomagnetism::04.05.05. Main geomagnetic field 
05. General::05.05. Mathematical geophysics::05.05.99. General or miscellaneous 
Abstract: 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.
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