

FIZIKA B 4 (1995) 1, 2937 LETTER TO THE EDITORFAST PROCEDURE FOR ESTIMATING CAPACITY DIMENSION OF THE FRACTAL OBJECTS BY THE BOX COUNTINGALEKSANDAR MAKSIMOVIĆ, STJEPAN LUGOMER and BOŽIDAR VOJNOVIĆ Received 15 February 1995A fast procedure for computing fractal dimension by the box counting is derived. An approximation for the number of visited boxes N_{B}(e,n) as a function of n is given. The memory requirement is calculated with this function and the scaling for derivative DN(e,n)/Dn » const ×be^{a} n ^{b1 }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 Hénon map, and compared with the procedure of Grassberger. UDC 531.19

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