Abstract: Based on the fairing requirements of the strain energy and jerk energy of a thin elastic beam，a method of fairing C-B spline curves is given.The mean idea is：Fairing of C-B spline curves is fulfilled by adjusting the value of parameterand control points to reduce the implied energy.By using the technique of least square approximation and non-linear functional minimization，the data points of plane can be faired approximately.Finally，examples of C-B spline curve fairing show the efficiency of the method.The numerical example shows that this algorithm provides an effect and new method for the fairing of C-B spline curves.

摘要： 基于弹性均匀细梁的应力能和扰动能的光顺优化，提出了一种光顺C-B样条曲线的算法。该算法的基本思想是：通过调整控制参数和控制顶点使得曲线的能量最小，得到最优的光顺逼近曲线。通过最小二乘法和非线性泛函的极小值优化计算，对平面数据点进行光顺逼近，达到了光顺的目的。最后，给出了由数据拟合的C-B样条曲线光顺的实例。实例结果表明，该算法为C-B样条曲线的光顺问题提供了一种有效的新方法。