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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