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采用计算几何中的高次曲线样条插补的方法解决光滑程度要求高，且加工速度快的二维激光切割问题．推导了三次B样条曲线的矩阵形式，从理论上证明了三次B样条曲线具有二阶连续性．如果插入一个点，只影响局部曲线，不影响整条曲线，因此有利于工程实现与应用．上述结论已在实际系统中进行了推广．
The high-order curve spline interpolation method in computational geometry is used to solve the problem of two-dimensional laser cutting with high smoothness and high processing speed. The matrix form of cubic B-spline curve is deduced. It is theoretically proved that cubic B-spline curve has second-order continuity. If you insert a point, only affect the local curve, does not affect the entire curve, it is conducive to project implementation and application. The above conclusion has been promoted in the actual system.