Letter to the Editor
Fast procedure for estimating capacity dimension of the fractal objects by the box counting
Aleksandar Maksimović
; Ruđer Bošković Institute, Bijenička c. 54, 41000 Zagreb, Croatia
Stjepan Lugomer
; Ruđer Bošković Institute, Bijenička c. 54, 41000 Zagreb, Croatia
Božidar Vojnović
; Ruđer Bošković Institute, Bijenička c. 54, 41000 Zagreb, Croatia
Abstract
A fast procedure for computing fractal dimension by the box counting is derived. An approximation for the number of visited boxes NB(ǫ, n) as a function of n is given. The memory requirement is calculated with this function and the scaling for derivative ∆N(ǫ, n)/∆n ≈ const × βǫ−αn −β−1 given by Grassberger is obtained for the non saturated segment. The procedure is tested on the calculation of fractal dimension of Sierpinski triangle and the H´enon map, and compared with the procedure of Grassberger.
Keywords
Hrčak ID:
303454
URI
Publication date:
1.3.1995.
Visits: 162 *