To meet the demands for rough surfaces data in the research of surface engineering, contacts characteristic and so on, a new numerical simulation of rough surface is proposed. Based on FFT method, rough surface with single direction texture is simulated with circular cosine-exponent autocorrelation function (ACF), and the generated surface is rotated of different given angles respectively by rotation of reference system, then the rough surface with multi-direction texture is created by synthesizing the rotated surfaces. The simulation results show that, the ACF curves of generated surface is periodic fluctuation decay, and has a good fitting result with the predetermined ACF. The contrast result between simulated surface and measured surface shows the available of the proposed method.

The 3D engineering surfaces are comprised of a range of spatial frequency components, such as form, waviness and roughness. Filtering techniques are commonly adopted to separate the different components. To overcoming the shortcomings of traditional filtering method, a new separation method is proposed with the correlation analysis of sub-bands in nonsubsampled contourlet transform (NSCT) domain. The 3D engineering surface topography is decomposed into different sub-bands by NSCT, and the correlation coefficients of NSCT sub-bands with its parent and children sub-bands are calculated by Pearson correlation method. Then the roughness, waviness and form of 3D real surface topography are restructured respectively by the inverse NSCT based on the NSCT sub-bands which belong to different components. Finally, a group of 3D engineering surfaces are separated into different components, and the result shown that the proposed method can separate 3D engineering surface effectively.

Aiming at the layout problem of underprop equipments in constructing 3-D abnormal space, a Creating method of underprop project is presented in this paper. By analyzing the underprop equipment and the 3-D abnormal space, the optimization model is built for underprop equipments layout. An optimization approach of the model is advanced, then the underprop project is presented. At last, an underprop project is made based on the method in this paper. According to the project, a 3-D space can be built quickly.