计算机科学 ›› 2018, Vol. 45 ›› Issue (3): 76-82.doi: 10.11896/j.issn.1002-137X.2018.03.013
刘成志,韩旭里,李军成
LIU Cheng-zhi, HAN Xu-li and LI Jun-cheng
摘要: 文中对C1连续的二次三角Hermite插值样条曲线的自由控制点进行了进一步研究。首先讨论了给定中点条件时自由控制点的选取问题。为了获得光顺及弧长最短的二次三角Hermite插值样条曲线,基于能量优化法建立了一个求解最优自由控制点取值的优化模型,求解得到的最优控制点使得曲线的能量值达到最小;然后建立了一个优化模型来求解出最优控制点,使得插值曲线的近似弧长最短。数值实例表明,通过优化模型求出的控制点能使得二次三角Hermite插值样条曲线具有较好的光顺性及近似最短弧长。
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