The optimal tool path for NC milling of a sculptured surface is given on cross sections of the surface, which extends the application of contour tool path from 2 dimensional milling to 3-axis and 5-axis milling. The cutting speed in rough cutting is the main objective of the optimal path. The contour tool path on cross sections of the surface can generate the rough cutting path in high speed without excessive cutting force, chatter and heavy wear of the cutting tool. Also, the path can be expanded to 3 -axis and 5-axis milling for machining of complicated surfaces.

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