摘要
过型值点的曲线造型是CAD中很重要的内容,有许多的文献研究过。大多采用反求算法,当型值点数增加或实时设计时,由于型值点很多,会导致反求方程组的阶数很大,从而产生计算量太大的问题。根据光顺原理,提出了一种新的曲线形式作为曲线造型的基础,曲线过型值点,达到G2光滑。实验表明,光顺性很好,并且无须进行反求运算,有计算量少,速度快的特点。
The construction of curve segments passing through the given data points is very important in CAD. A new function of curve segments is presented to construct piecewise curve segments passing through the given data points in real time, maintaining G^2 continuity and satisfying fairness criterion. And an algorithm need not converse the control points also be presented.
出处
《工程图学学报》
CSCD
北大核心
2005年第4期72-76,共5页
Journal of Engineering Graphics
关键词
计算机应用
型值点
反求方法
光顺性
G^2光滑
computer application
control points
converse method
smoothness or fairness
G^2 smooth
