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| Titel |
Multifractal Analysis in Binary Images |
| VerfasserIn |
A. M. Tarquis, N. R. A. Bird, E. Perrier, J. W. Crawford |
| Konferenz |
EGU General Assembly 2012
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 14 (2012) |
| Datensatznummer |
250071317
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| Zusammenfassung |
| We discuss quantitatively the restrictions linked with the multifractal (MF) characterisation of
binary images. We have review the MF analysis (MFA) normally used when the image is
transform in a matrix (or cube), containing only 1 and 0 elements, and boundaries related to
the percentage of black pixels (Ï) were derived for the partition function. In the context of
images, when a lower scale process is applied the number of black pixels (bp) should reflect a
certain probability value at each iteration (n). Following this process we arise to threshold
values for the maximum and minimum probabilities to be represented in function ofÏ, n and
image size.
A cascade model, with different initial probabilities, was applied to generate several MF
distributions that were transformed to matrices of integer numbers conserving the same
generalized dimensions (Dq). These matrices, although resulting from a purely multi-cascade
process, illustrates all the restrictions described earlier.
References
Bird, N., Díaz, M.C., Saa, A. and Tarquis, A.M..2006. A Review of Fractal
and Multifractal Analysis of Soil Pore-Scale Images. J. of Hydrology, 322, 211-
219.
Perrier, E., Tarquis, A.M. and Dathe, A.. 2006. A Program for Fractal and Multifractal
Analysis of Two-Dimensional Binary Images. Computer Algorithms versus Mathematical
Theory. Geoderma, 134, 284-294.
Tarquis, A.M., McInnes, K., Keys, J., Saa, A., García, M.R. and Díaz, M.C.. 2006.
Multiscaling Analysis In A Structured Clay Soil.. J. of Hydrology, 322, 236-246.
Acknoledgements
Funding provided by Spanish Ministerio de Ciencia e Innovación (MICINN) through
project no. AGL2010-21501/AGR is greatly appreciated. |
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