中文摘要：

为在飞机的数据点的一个给定的集合，一个新方法为为每个数据点计算参数值(结) 被介绍。与每个数据点联系了，通过三个邻近的连续数据点的一条二次的多项式曲线被构造。曲线有能被用来优化曲线的形状的自由的一度。获得曲线的更好的形状，自由的度被优化曲线的弯曲并且拉长的精力决定以便曲线的变化是尽可能小的。在每个邻近的数据点之间，二本地结间隔被构造，并且期末考试相应于这的结间隔二个点被二个本地人的联合决定结间隔。实验证明曲线由新方法用结构造了通常比存在本地方法用结构造的有更好的插值精确。

英文摘要：

For a given set of data points in the plane, a new method is presented for computing a parameter value（knot） for each data point. Associated with each data point, a quadratic polynomial curve passing through three adjacent consecutive data points is constructed. The curve has one degree of freedom which can be used to optimize the shape of the curve. To obtain a better shape of the curve, the degree of freedom is determined by optimizing the bending and stretching energies of the curve so that variation of the curve is as small as possible. Between each pair of adjacent data points, two local knot intervals are constructed, and the final knot interval corresponding to these two points is determined by a combination of the two local knot intervals. Experiments show that the curves constructed using the knots by the new method generally have better interpolation precision than the ones constructed using the knots by the existing local methods.