A revisitation of the triangular prism surface area method for estimating the fractal dimension of fractal surfaces

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A. De Santis
M. Fedi
T. Quarta

Abstract

Fractal dimension is widely used to give a measure of variability and roughness of curves, signals, objects, sta- tistical distributions, and so on, We found that an often used method, the so-called triangular prism surface- area method, for estimating the tractal dimension of fractal surfaces possesses some intrinsic mistake., in appli- cation. This note describes the misintel"pretation and suggests the proper application, that we calI Revised Tri- angular Prism Method (RTPM). To show its feasibility we apply RTPM to some synthetic Euclidean and frac- tal surfaces of known dimension.

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De Santis A, Fedi M, Quarta T. A revisitation of the triangular prism surface area method for estimating the fractal dimension of fractal surfaces. Ann. Geophys. [Internet]. 1997Nov.25 [cited 2021Oct.26];40(4). Available from: https://www.annalsofgeophysics.eu/index.php/annals/article/view/3882
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