参数三次样条的一种完备边界条件

参数三次样条插值在实践中应用很广。参数三次样条曲线需要四个边界条件，但当前通常使用的边界条件只是给出了两个，另外两个是根据经验而定的。我们把给出了完整的四个边界条件者称为参数三次样条的完备边界条件。

On a Kind of Unabridged End Condition of parametric Cubic Spline

Parametric Cubic Spline is very useful in interpolation. The usual end conditions contain only tangent vector end condition and nature end condition. However,they are not self-contained. A special kind of unabridged end conditions like wing is used in the interpolation of curves, it needs both radius of curvature and tangent vector perpendicular to chord line,and has been solved very successful by special processing. But other kinds of unabridged end conditions can not be well solved through that special processing. Thus,a general kind of end conditions is developed,and a exact solution can be obtained by general processing proposed in the present paper.