1 January 1997 Simulation of rough surfaces by morphological random functions
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Abstract
The aim of this paper is to reproduce the texture of rough surfaces by means of 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.
Dominique Jeulin, Dominique Jeulin, Pascal Laurenge, Pascal Laurenge, } "Simulation of rough surfaces by morphological random functions," Journal of Electronic Imaging 6(1), (1 January 1997). https://doi.org/10.1117/12.261930 . Submission:
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