The Fractal Theory Based Interpolation On Mine Subsidence Ground Simulation

Terrain is one of the most complex objects in the nature.The techniques of generation and visualization for three-dimensional terrain is important for many research fields.Fractal Geometry has been a new research field in recent years.The Fractal Brownian Motion(FBM) provides effective mathematics model,which has important application in many research fields.The data of terrain features obtained using FBM methods can reflect complex character of the natural.The fractal interpolation based on the self-similar of data interpolates data by certain mathematical model.The fractional Brownian motion(FBM) is applicable for describing the fractional characteristic of terrain surface.The advantage of this model is that it can control the shape of surface with few parameters and reconstruct the realistic terrain surface. The Simulation has satisfactory results and reached the purpose of generating 3D fractal terrain.On basis of fractal theory and the principle of fractional Brownian motion,this paper puts emphasis on the subsidence ground of mine.Presently,the fractal based visualization technique for three-dimensional terrain is developing.While some practical methods has already been constructed,their efficiency and usability still need to be improved.