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Descripción
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| 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 << 0. The root mean square error, RMSE, for the entire range of q values examined ranged from 7.81x10¿¿6 to 1.35x10¿¿1, with a geometric mean of 6.50x10¿¿3. The RMSE decreased with increasing grayscale heterogeneity and decreasing grid size. | |
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Internacional
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Si |
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ISSN o ISBN
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http://meetingorganizer.copernicus.org/EGU2009/EGU |
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Entidad relacionada
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EGU 2009 - Educational and Outreach Symposia |
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Nacionalidad Entidad
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Sin nacionalidad |
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Lugar del congreso
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Viena, Austria |