Due to long period natural evolvement

real terrain surface is an anisotropic and nonlinear field. Moreover

terrain surface is not always so perfect that it keeps invariable self-similar characteristic in whole scale space. Traditional construction method based on isotropic single self-similar field has weaker ability to describe such complex surface. Consequently

multi-scale self-similar random field are used to construct isotropic multi-scale self-similar surface. And then

a structure filter

which transforms an isotropic field to an anisotropic field by spectrum filtering

is introduced to construct anisotropic multi-scale self-similar terrain. Simulation results show that presented approach not only constructs the orientation of mountain but also accord with varying degrees of roughness at different scales.