曲线曲面的B_3样条拟合及其实现

B_3-spline method and application of approaching irregular curves

在计算机辅助几何设计(CAGD)中,曲线、曲面拟合多采用多项式作为基函数,本文通过几种曲线、曲面生成算法分析,提出了一种B3样条的拟合方法。它具有B样条的主要优点,且通过所有型值点,这一方法适用于自由曲线、曲面的设计。还结合拱坝体形设计实例说明了用此方法进行造型设计的技术。

Polynomial is often used to approach curve surface as a kernel funcition on the computer aided geometric design. B3-Spline method of approaching curve surface is proposed based on the analysis of some curves to be formed. The method is as goon as B-Spline and all controlling points are passed. In addition, Some examples of the arch-dam moulding are gived.