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

A. De Santis, M. Fedi, T. Quarta


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.


Fractal dimension;self-affinity;self-similarity;triangulation

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DOI: https://doi.org/10.4401/ag-3882
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Published by INGV, Istituto Nazionale di Geofisica e Vulcanologia - ISSN: 2037-416X