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http://hdl.handle.net/2122/1580
Authors: | De Santis, A.* Fedi, M.* Quarta, T.* |
Title: | A revisitation of the triangular prism surface area method for estimating the fractal dimension of fractal surfaces | Issue Date: | Aug-1997 | Series/Report no.: | 4/40 (1997) | URI: | http://hdl.handle.net/2122/1580 | Keywords: | Fractal dimension self-affinity self-similarity triangulation |
Subject Classification: | 05. General::05.06. Methods::05.06.99. General or miscellaneous | 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. |
Appears in Collections: | Annals of Geophysics |
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