带有强迫能量的最优几何Hermite插值

Optimized geometric hermite interpolation of space curves by constrained energy minimization

讨论了空间四次Bézier曲线在具有最小强迫能量的情况下的几何Herm ite插值,曲线不仅插值于两端点,而且插值于各端点的切线、曲率。证明了当两端点的距离足够小时,这种插值条件是可以满足的。

This paper discusses the geometric Hermite interpolation of spatial curves by constrained energy minimization with parametric quartic Bézier curve. In addition to its position and tangent direction, the curvature vector is prescribed at each knot. It has been prove when a distance between the two ends is small enough, then there exists a the conditions of interpolation can be satisfied.