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| Titel |
Accuracy of Empirical Multifractal Analyses |
| VerfasserIn |
E. Perfect, A. M. Tarquis, N. R. Bird |
| Konferenz |
EGU General Assembly 2009
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 11 (2009) |
| Datensatznummer |
250020861
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| Zusammenfassung |
| The moment-based box counting method of multifractal analysis is widely used for
estimating generalized dimensions, Dq, from 2-dimensional grayscale images. An evaluation
of the accuracy of this method is needed to establish confidence in the resulting estimates of
Dq. We estimated Dq from q = -10 to +10 for 23 random geometrical multifractal fields with
varying levels of grayscale heterogeneity, different grid sizes, and known analytical Dq
versus q functions.
Comparison of the estimated and analytical functions indicated the moment-based box
counting method overestimates Dq by as much as 6.9% when q |
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