通过上机实现拉格朗日、牛顿和三次自然样条三种插值算法，了解并掌握拉格朗日、牛顿和三次自然样条三种插值算法的内涵。通过动态演示曲线生成全过程，分析并比较三种插值算法的优缺点，深刻理解这些算法。-Lagrange, Newton-on and three natural spline the three interpolation algorithm, to understand and grasp the meaning of Lagrange, Newton, and three natural

三次样条插值算法的原理三次样条插值鉴于高次插值不收敛又不稳定的特点。-Three times spline interpolation algorithm of the principle of the three spline interpolation in view of the high order interpolation is not convergence and instability.