Anisotropy Multi-scale Self-similarity Random Field and Terrain Construction
Fuyuan Peng · 2007
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.