三次曲线插值及其性质

给出了三次曲线插值的一种方法 ,即在已知两点及相应切线与弦线夹角的情况下 ,给出求满足插值条件的唯一的三次曲线的算法。利用本文的方法就可以构造连续三次样条曲线。另外本文中还分析了其性质 ,给出了曲率公式、等距线的表达式 ,并给出了具体的实例。

Geometric Hermite Interpolation with Cubic Curves and Those Properties

A method of cubic curve Hermite interpolation is given in this paper.That solution is used to get the unique cubic curve which matches the interpolation condition if we have known two points as well as the angles between the corresponding tangents and chord.Thus we can construct cubic spline curves.The properties,curvature and offset curve of this curve are given,in addition samples are presented.