给定特征多边形的Bézier曲线的凸性研究

On convexity of Bézier curves with given characteristic polygon

通过参数曲线全局凸和局部凸的定义,研究了Bézier曲线的凸性与其特征多边形的关系,并给出了Bézier曲线的全局凸性和局部凸性定理。

Through the definition for global convexity and local convexity of parameter curves, this paper studies the relations between convexity of Bézier curve and its characteristic polygon, and produces a theorem on the global convexity and another on local convexity of Bézier curves.