In this paper, we propose a closed-form solution to the inverse problem in interpolation with periodic uniform B-spline curves. This solution is obtained by modifying the one we have established to a similar problem with relaxed uniform B-spline curves. Then we use these solutions to determine the maximum curvature of a B\'{e}zier-spline curve. Our computational and graphical examples are presented with the aid of Maple procedures.

翻译：本文针对周期均匀B样条曲线的插值反问题提出了一种闭式解。该解是通过将我们先前建立的松弛均匀B样条曲线类似问题的解进行修正而得到的。随后，我们利用这些解来确定Bézier样条曲线的最大曲率。本文的计算与图形示例均借助Maple程序实现。