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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2013 Issue 11(18), Pages 33–35 (Mi irj512)

PHYSICS AND MATHEMATICS

The simulation of fractional Brownian images

S. V. Polishchuk, K. A. Petrov, Y. A. Smekhun

Far Eastern Federal University

Abstract: The modeling algorithm of fractal Brownian images has been proposed and studied. It is established that an integral characteristic of the spectrum of Brownian image with Hurst's parameter a is well approximated by a function power with an exponent 2(a + 1) in a is member of (0,1/2] and the exponent which is equal to 3, a is member of (1/2,1).

Keywords: the fractal Brownian process, spatial frequency filtering, a structure function.



© Steklov Math. Inst. of RAS, 2024