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The main sources of error are investigated in experimental evaluations of the fractal dimension by means of optical methods. The influence of the limited size of objects, the shape and size of a structural unit, and the additive noise as well as the intrinsic fluctuations called lacunarity are taken into consideration. The relative local error is investigated both in the direct space using measurements of the autocorrelation function and in the corresponding Fourier space based on evaluations of the power spectrum.
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Dogariu et al. (1993) studied this question.
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