摘要
在给定插值点的位置矢量及切矢量的情况下,通过在两相邻节点引入两个新的节点,提出了一类保持C1连续的三次Hermite插值曲线的构造方法,分别通过基于曲率、挠率的能量函数对其进行优化,给出了能量最小化的参数取值公式。讨论了参数对曲线形状的影响,实例表明了方法的有效性。
On condition that position vectors and tangent vectors of interpolation points are given, this paper gives a new method of generating C1 Hermite interpolation curves by introducing two new points to adjacent points. Then the curves are optimized on account of energy function related to curvatures and torsions. The value of the parameters of the formula with minimum energy is given, and whether the parameters have influence on curves is discussed. Examples show the effec-tiveness of this method.
出处
《计算机工程与应用》
CSCD
2014年第12期184-187,共4页
Computer Engineering and Applications
基金
国家自然科学基金(No.10871208)
湖南省自然科学基金(No.08JJ3009)
