Engineering surface characterization with interpolation based on fractal theory and wavelet analysis

In the research area of precision machinery and surface engineering, it is of significance to accurately characterize the engineering surface morphology which would directly led to the variation of mechanical property by the contacted interface. An experimental apparatus based on optical theory is set up for the data collection of part surface topography. With the experimental data, the three dimension surface topography is built by using Kriging and B Spline interpolation methods based on fractal function. Error analysis shows that simulated surface by Kriging method is more precise but the built topography is smoother than the real one which due to losing of detailed high frequent information. A modified interpolation methods is conducted to resolve this problem with wavelet analysis before and after Kriging interpolation. Simulated results shows that improved Kriging interpolation algorithm based on fractal with wavelet analysis displays the lowest error and consistent with the real surface profile. At last, the system error is also discussed. It may be a effective way to characterize the engineering Surface by the Kriging interpolation algorithm based on fractal and wavelet analysis. ©, 2015, Binary Information Press. All right reserved.