Abstract
A comparison of the covering properties of windowsm, m + 1, where the window sidel m isl m = 2m, yields an expression for the fractal dimensionD m which displays directly effects due to periodicity and inhomogeneities. The structure of teD m versusm curve gives insight into the nature of the representation of the fractal. In some cases bounds forD may be obtained and, if appropriate, the effect of the inhomogeneities due to boundaries, initial conditions, the pixel limit or periodicity can be removed.
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Hamilton, G.R., Laidlaw, W.G., Maier, R. et al. The effect of inhomogeneities on evaluation of a fractal dimension for objects on a lattice. J Math Chem 5, 249–263 (1990). https://doi.org/10.1007/BF01166356
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DOI: https://doi.org/10.1007/BF01166356