计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (35): 3-5.DOI: 10.3778/j.issn.1002-8331.2009.35.002

• 博士论坛 • 上一篇    下一篇

近似保积形式的参数曲线拟合

石 茂,叶正麟   

  1. 西北工业大学 应用数学系,西安 710072
  • 收稿日期:2009-09-17 修回日期:2009-10-27 出版日期:2009-12-11 发布日期:2009-12-11
  • 通讯作者: 石 茂

Quasi-preserved area fitting by parametric curves

SHI Mao,YE Zheng-lin   

  1. Department of Applied Mathematics,Northwestern Polytechnical University,Xi’an 710072,China
  • Received:2009-09-17 Revised:2009-10-27 Online:2009-12-11 Published:2009-12-11
  • Contact: SHI Mao

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。

Abstract: 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.

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