heaventian 发表于 2011-7-9 10:36

求教各位大侠关于分维的基本概念

Fourier amplitudes of the initial surface, Hi(k), and subsurface, W i(k), loads were generated so that their power spectra mimics that of actual topography.
For this we used a power law relationship of amplitude to wave number k with fractal dimension
2.5, following the ‘‘spectral synthesis’’ method of Peitgen and Saupe . A fractal dimension of 2.5 is compatible
with values obtained for actual topography .


请教下各位大侠: a power law relationship of amplitude to wave number k with fractal dimension
2.5

是否就是指
amplitude A=wave number k^2.5 ,即
A=k^2.5?
但是这样明显不对,应该是k小时,A大才对。请问这句话该怎么理解?该怎么构造A关于k的函数?
谢谢!
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