摘要
本文给出了一组特殊的基函数,由此生成的曲线称为三次C-Cardinal样条曲线,是Cardinal样条曲线的推广,形状调整依赖于参数λ和α。当α→0时,所给的曲线是Cardinal样条曲线。运用张量积讨论了曲面的情形,具有与曲线完全类似的性质。实例表明,该曲线/面可用于曲线曲面造型。
A new curve called the cubic e-cardinal spline curve constructed by a set of special cubic basis functions is discussed. The cubic e-cardinal spline curve presents an extension of the cardinal spline curve. Its shape depends on two pararneters ,λ,a, and the limiting case of α→0 is the cardinal spline curve. The surface is constructed with the tensor product method. Its property is analogous with the curve. Examples show that the curve/surface can be used to free-form curves and surface modeling.
出处
《计算机工程与科学》
CSCD
2006年第2期48-50,共3页
Computer Engineering & Science
基金
湖南省教育厅资助项目(04C215)
