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Single point diamond turning is one of the key technologies among modern ultra-precision machining. The finished surface roughness is nanoscale. It shows that the copper surface cut by single point diamond tool exhibits tool marks as well as grain concavity and convexity under different cutting parameters. Usually roughness reflects the machining quality of the machined surface, but when the roughness of different surfaces is the same or similar, it is not sufficient to accurately distinguish the tool marks and grain concavity and convexity relying only on roughness. Therefore, the yard stick method is a better way to calculate the fractal dimension of the surface. In addition, in order to accurately reflect the grain concavity and convexity, the method of filtering can be used to weaken the influence of tool marks. The results show that the fractal dimension after filtering can reflect the features of grain concavity and convexity quantitatively.

Fractal dimension characterization for surface microtopography of copper cut by single point diamond tool