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

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.

Keywords


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

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References


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