三次混合Bézier类曲线

Mixed Bézier functions class cubic curves

提出由多项式基底和有理函数基底构造出混合Bézier函数类的思想,由此定义了混合Bézier类曲线.并研究了一种实用的三次混合Bézier类曲线,同时给出由三次混合Bézier类曲线表示圆弧的实例.与Bézier曲线和有理Bézier分别相比较,三次混合Bézier曲线可以表示圆弧且计算较为简单.

A new definition of mixed Bézier functions class and mixed Bézier functions class curve could be found in the paper at the first time, by using polynomial basis and rational basis. And the paper studied a practical mixed Bézier functions class cubic curves, produced an example of representing circular arc by mixed Bézier functions class cubic curves. Compared with Bézier curves and rational Bézier curves, we got better result.