3D Rough Surface Topography Model of Fractal Interpolation Based on Wavelet Transform

Abstract

With the development of computer technology, there are many kinds of instruments for obtaining the 3D surface topography such as confocal topography using optical principle, the scanning electron microscope, the transmission electron microscope and the probe contact topography. However, the topography or profile of the rough surface has scale correlation. The certain measurement deviation will be caused due to the limited resolution of the topographer when acquiring a 3D topography. In addition, the dimensions and attributes of the tested sample are strictly required and it is impossible to record the surface topography that changes in real time during friction and wear. In order to overcome the disadvantages of the above surface topography modeling methods, a method combining fractal interpolation and wavelet transform is used in this paper. The accuracy and the resolution of the 3D surface topography model can be controlled by the number of iterations and the selection of the reference data resolution.