Analysis of Terrain Roughness Based on Statistics

A method based on statistics was proposed. A distance laser sensor equipment was used to obtain digital surfaces of three kinds of rough terrains, which were prepared with three particle sizes of quartz. The results of analyzing the discrete data of digital surfaces indicated that there was a good relationships between average root mean-squared height, average terrain energy and average particle size dav, which meant that terrain energy can be as a standard to evaluate the roughness of a terrain. Double logarithmic auto power spectrum density curves of rough terrains were drawn and the linear equations of double logarithmic auto power spectrum density of curves were given. The slopes of fitting linear equations lg(b) had a increasing relation with the roughness of terrain, which indicated that the positions of fitting straight lines of double logarithmic auto power spectrum density curve can also evaluated the roughness of a terrain.