A method was presented to analyze the computer-numerical-control (CNC) milling process based on characteristics of the curvature of curved surface. It applied differential geometry theory to CNC milling process. This method was employed to analyze the effects of the curvature attributes of isoparametric curves on the interference and cutting width during the process through planning the cutting path on the constructed free-form surface and establishing cutting path isoparametric curve. At the same time

according to the research on the relationship among the cutting path

the scallop height and the attributes of curvature of curve

some laws affecting the machining efficiency

accuracy and interference were obtained. In addition

the research shows that the cutting width can be improved effectively by optimizing the anastomosis curve of the cutting tool radius

the scallop height and machined surface's curvature. The experimental results show the effectiveness of the method in analyzing CNC milling process based on the attributes of the curvature of curves

the machining efficiency can be increased 5%~8%.