摘要
本文揭示了二次曲线的有理二次B(?)zier曲线表示的导出过程,实质是非有理B(?)zier曲线的几何作图向有理的推广,指出了有理二次B(?)zier曲线的参数化与权因子的关系以及不同于非有理B(?)zier曲线拟合的参数化方法。给出确定权因子的简便易行的计算公式与步骤。附录中列举了其它一些实用公式和计算方法。
The derivation of representation form of rational quadratic Bézier curves of conics re-vealed by the paper is actually the extension of geometric plotting from non-rationalquadratic Bézier curve to rational.The paper discusses the relationship betweenparametrization & weight of rational quadratic Bézier curve and parametric approach differ-ent from fitting of non-rational Bézier curva.Some simple & useful formulas & computingsteps for determining the weights are also presented.Other useful formulas & computingmethods are listed in appendix.
出处
《图学学报》
CSCD
1989年第2期8-16,共9页
Journal of Graphics
