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Accuracy of the box-counting algorithm for noisy fractals |
Andrzej Z. Górski 1, Mariusz Stróż 1,2, Paweł Oświęcimka 1, Janusz Skrzat 3 |
1. Polish Academy of Sciences, Institute of Nuclear Physics (IFJ PAN), Radzikowskiego 152, Kraków 31-342, Poland |
Abstract |
The box-counting algotithm is applied to calculate fractal dimensions of four fractal sets. The sets are contaminated with white noise of amplitude γ = 10-5 ÷ 10-1. The accuracy of calculated numerical values of the fractal dimensions is analyzed as a function of γ for different sizes of the data sample (ntot). |
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Presentation: Oral at 6 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Andrzej Z. GórskiSee On-line Journal of 6 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych" Submitted: 2012-01-10 15:02 Revised: 2012-01-18 18:34 |