A fractal surface and its measurement by computer simulation

Abstract

In this paper, a zero-mean and band-limited fractal function is introduced to simulate a rough surface profile. According to the Kirchhoff Theory, surface roughness measurement is simulated with the help of fast Fourier transformation (FFT) technology. A relationship between the surface parameters and the reflected light intensity distribution is obtained. In order to quantify rough surfaces, some criteria are proposed. Numerical results show that these criteria have a strong correlation with the RMS of surface height and they can be used for surface roughness measurement and classification. © 1995.