Analyses and simulation of anisotropic fractal surfaces

The spectral densities for an anisotropic fractal surfaces are investigated. Since there is no general definition for anisotropic fractal surface, the profiles of anisotropic fractal surfaces are assumed to be fractal in two main axes. Then, the possible forms of the surface spectral densities are proposed. By using the inverse Fast Fourier Transform, anisotropic fractal surfaces can be simulated from the spectral densities.