Open AccessA revisitation of the triangular prism surface area method for estimating the fractal dimension of fractal surfaces
Author(s) -
A. De Santis,
Maurizio Fedi,
T. Quarta
Publication year - 1997
Publication title -
annals of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 60
eISSN - 2037-416X
pISSN - 1593-5213
DOI - 10.4401/ag-3882
Subject(s) - triangular prism , fractal dimension , fractal , prism , surface (topology) , dimension (graph theory) , fractal dimension on networks , geometry , measure (data warehouse) , euclidean geometry , mathematical analysis , surface finish , mathematics , fractal analysis , physics , computer science , optics , pure mathematics , materials science , data mining , composite material
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