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 studied texture is obtained by a physical process, the electro-erosion discharge. After an introduction to this process and to the characterization of random functions, different morphological models are reviewed and tested the Boolean random function, the dead leaves random function, the sequential alternate random function, and the dilution random function. They all involve a combination of a Poisson point process and of elementary patterns the primary random function. For each model, the case of cylinder primary functions is first considered for illustration, then simulations with roughness craters are compared to rough surfaces. The final model involves the use of a repulsion distance in the simulation, as could be expected from the variogram of the data. (C) 1997 SPIE and IS&T.