Abstract:This paper gives an analysis and summary of the features of the natural terrain, and integrating with the nature trait of tiny terrain,presents a midpoint random displacement method with orientation fractal trait.The result of the test shows that the total outline for original data is preferably generated and rough undulation and anisotropy of the original tiny terrain are preferably reproduced by this method.Thus this is a feasible interpolation method that constructs 3-D terrain.