Multifractal Analysis at Negative q
ARMY ARMAMENT RESEARCH DEVELOPMENT AND ENGINEERING CENTER WATERVLIET NY BENET LABS
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A box-based correlation integral algorithm for the determination of generalized fractal dimensions is described. The algorithm has been tested for Euclidean curves, Koch symmetric and asymmetric triadic split snowflake halls, and the multifractal construction based on Mandelbrots 13-element generator is well-suited to the analysis of experimental data with inherent uncertainty, it is efficient, and it converges to analysis results for the model point sets at all q values.
- Statistics and Probability
- Numerical Mathematics