摘要
圆弧快速生成问题是CAD/CAM、CAGD等领域中一个重要的课题,具有理论研究价值,并且有着广泛的应用。文章利用向量连分式构造的参数有理函数快速、简便地生成了平面上的一段圆弧,并给出了它的圆心坐标及半径。与目前通用的从有理Bézier曲线或NURBS曲线出发,选择适当权因子的方法相比较,文章所介绍的方法要简便得多。此外,构造了一种可调参数有理圆弧样条,它达到GC1连续;在实际操作中,通过调整端点的切向量,可以使上述样条曲线保凸、保单调。
In this paper, a new method for constructing a segment of circular arc is presented by using the vector valued continued fractions, and the center and radius of this arc are given. Based on this method, a parametric rational arc spline which is up to GC1 continuity is constructed. By adjusting the given tangent vector, this parametric rational arc spline can also be a convexity and monotonity preserving spline. Compared with the method of generating a segment of circular arc with the rational Bézier curve or the NURBS curve, the method introduced in this paper is quick and simple.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
2003年第2期180-184,共5页
Journal of Hefei University of Technology：Natural Science
基金
国家自然科学基金资助项目(10171026)
