The Spatial Topological Shape of the Rough Surface is Simulated and Generated by a New Gaussian Filtering Algorithm

Abstract

The physical properties of rough surfaces are important research objects in geometry and tribology. The reason why rough surfaces are widely used in many fields is that their spatial topologies are uneven geometric shapes. In order to simulate the spatial topology of the rough surface, based on Gaussian distribution, numerical filtering, topology analysis and mathematical derivation, a new simulation algorithm for accurately generating rough surfaces with different features is established with five parameters. Roughness parameters, autocorrelation parameters, anisotropy parameters can be precisely controlled by algorithms, and the parameters are independent of each other. After experimental verification, the simulation results generated by the algorithm are similar to the real shape, and the numerical statistical results tend to converge.