一类三次几何Hermite插值曲线及其优化  

A Class of Cubic Geometric Hermite Interpolation Curves with minimum strain energy

作　　者：韩旭里[1] 李建军[1] 刘子奇[1] 

机构地区：[1]中南大学数学科学与计算技术学院,长沙410083

出　　处：《数学理论与应用》2008年第1期20-24,共5页Mathematical Theory and Applications

摘　　要：通过引入新的节点,提出了一类三次几何Hermite插值曲线的构造方法,给出了能量最小化时对应的参数取值公式。所给表达式中保留了切向的合理调节参数,便于几何设计的控制。实例表明该方法是有效的。In this paper, we preseted a scheme for a class of GHI curve through bringing in new knot, gave the paramenters formula when ths strain energy of curve is minimum. The foumula reserve the rational adjust paramenters of tangent direction, which is conventent to the control of Geometric Design. The method is effectivie in generating smooth curve.

关 键 词：GHI G^1连续 应变能 

分 类 号：O241.3[理学—计算数学]