SIMULATION OF ROUGH SURFACES BY MORPHOLOGICAL RANDOM FUNCTIONS

The aim of this paper is to reproduce the texture of rough surfaces by means pf simulations of probabilistic random function models. The stu died texture is obtained by a physical process, the electro-erosion di scharge. After an introduction to this process and to the characteriza tion of random functions, different morphological models are reviewed and tested the Boolean random function, the dead leaves random functio n, the sequential alternate random function, and the dilution random f unction. They all involve a combination of a Poisson point process and of elementary patterns the primary random function. For each model, t he case of cylinder primary functions is first considered for illustra tion, then simulations with roughness craters are compared to rough su rfaces. The final model involves the use of a repulsion distance in th e simulation, as could be expected from the variogram of the data. (C) 1997 SPIE and IS&T.