The issue of smoothing sharp corners between consecutive small line blocks in high-speed machining was discussed.According to the characteristics of the rational quadratic Bézier curve,the vector model of conic section transition was constructed.The formulas of the maximum contour error and the maximum curvature of conic segments were derived.Subsequently,a corner curve transition interpolation algorithm based on conic section was proposed. On the basis of this algorithm,the conic section type was defined by the weight which could satisfy the prescribed contour machining accuracy and the adjacent line segment length.At the same time,the maximum velocity limited by chord error,interpolation distance and dynamic response of machine tool was calculated.Moreover,an improved look-ahead method, which could adjust the corner velocity between two trajectories by modifying the weight of the transition curve,was presented.The comparison between the arc transition results and the conic section transition results showed that the proposed algorithm could improve transition velocity and reduce machining time.
