Multiscale model of honed profiles

Some important profiles such as that made by honing process are skew and complex. In this paper, a new and more flexible elementary function was found to create a advanced multiscale model defined by an infinite series. In this series, each elementary term characterized a skew feature at a given scale. Some honed profiles were measured and tested by a tactile PGI profiler. The results showed that our model was allowed to characterize the skew phenomenon. Then a method was developed to study the smoothing effect caused by the stylus radius with the theory of the fractal peak radius curvature of the skew profiles. And a critical scale was found in this paper.