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A revisitation of the triangular prism surface area method for estimating the fractal dimension of fractal surfaces
- Source :
- Annals of Geophysics, Vol 40, Iss 4 (1997)
- Publication Year :
- 1997
- Publisher :
- Instituto Nazionale di Geofisica e Vulcanologia, INGV, 1997.
-
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.
- Subjects :
- fractal dimension
Correlation dimension
self-similarity
Fractal dimension on networks
lcsh:QC801-809
Minkowski–Bouligand dimension
Geometry
triangulation
lcsh:QC851-999
self-affinity
Fractal dimension
Fractal analysis
fractal surface
lcsh:Geophysics. Cosmic physics
Geophysics
Fractal
lcsh:Meteorology. Climatology
Prism
Triangular prism
Mathematics
Subjects
Details
- ISSN :
- 2037416X and 15935213
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- Annals of Geophysics
- Accession number :
- edsair.doi.dedup.....385e2aa09adf4b077dcade5cfeb80d8f