【摘要】 圆弧的表示一直是计算机辅助设计关心的问题.但是,现有的方法对用户并不友好.利用C-Bézier曲线,给出了圆弧的一系列表示方法,讨论了这些表示方法的相互关系.为度量其优劣,提出了特征比的概念.同时,发现了高次的C-Bézier表示要优于低次的表示,特别地,五次C-Bézier曲线能很好地表示整圆.更多还原

【Abstract】 Representation of a circular arc plays an important role in CAD. However, the existing methods are not friendly to designers. In this paper, a series of methods are presented to construct the circular arc with C-Béier curves. In order to compare with the old methods, so-called characteristic ratio is proposed. As a consequence, the C-Béier curves with degree higher are better than the lower. Specially, the quintic C-Béier curve can construct the whole circle.更多还原