摘要
在计算机辅助设计中,要经常处理带有面积约束的参数曲线的拟合问题。但是在实际应用中,对于面积的计算除了少数简单的情况外,一般都采用传统的多项式函数插值方法实现数值解。利用数值积分这一方法,给出了一种近似保积形式的n次参数曲线拟合方法,该方法可以插值拟合于2n个点,并且在小的闭区间上具有局部光顺性质;最后的数值实验表明这种方法行之有效,具有误差小等优点。
In the computer aided design,curves fitting problems with an area constraint are often dealt with.But in practice,except a few cases with simple calculation,the area is obtained by using polynomials interpolation.Using the methods of numerical integration,a quasi-preserved area fitting by n degree parametric curves is given.The method can fitting 2n points,and is fairness over small interval.The finally numerical experiment shows it s effective.
出处
《计算机工程与应用》
CSCD
北大核心
2009年第35期3-5,共3页
Computer Engineering and Applications
基金
国家自然科学基金No.60671063
陕西省自然科学基金No.2006A02~~
