Abstract: On the basis of standard-form two rational Bézier arcs, the practical way of representing circular arcs with standard-form cubic rational Bézier curves containing a parameter is presented. By adjusting the parameter value, different representations of standard-form cubic rational Bézier arcs are gained. The parameter how to affect the control points, weights and shoulder point is analyzed in detail, which makes us to understand deeply the inner properties of standard-form cubic rational Bézier arcs.

摘要： 在圆弧的标准型有理二次贝齐尔表示的基础上，给出了圆弧的带参数的标准型有理三次贝齐尔一种更实用的表示形式，通过调节参数的值，就可以得到同一圆弧不同的标准型有理三次贝齐尔表示。就参数对内控制点、两内权因子及肩点的影响进行了详细分析，从而对圆弧的标准型有理三次贝齐尔形式表示的内在性质有了更深入的了解。