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Accuracy of the box-counting algorithm for noisy fractals

Andrzej Z. Górski 1Mariusz Stróż 1,2Paweł Oświęcimka 1Janusz Skrzat 3

1. Polish Academy of Sciences, Institute of Nuclear Physics (IFJ PAN), Radzikowskiego 152, Kraków 31-342, Poland
2. AGH University of Science and Technology, Faculty of Physics and Applied Computer Science (AGH), Mickiewicza 30, Kraków 30-059, Poland
3. Jagiellonian University, Collegium Medicum, Dept. of Anatomy, Kraków 31-034, 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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Related papers

Presentation: Oral at 6 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Andrzej Z. Górski
See 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