线段Bézier曲线

Line segment Bézier curves

文章给出了线段算术的定义和性质,它是点集算术的特殊情况,但更便于计算;提出了线段Bézier曲线的概念,就是把区间Bézier曲线中的长方形换成满足一定条件的线段,这里的线段是指该线段上所有点的集合;给出了线段Bézier曲线的性质及其细分算法。它是点集Bézier曲线的特例,具有结构简单、算法省时及容易拼接等优点。

The definition and properties of line segment arithmetic are given, which is a special situation of point set arithmetic, but easily calculated. The definition of line segment Bézier curves is put forward. The rectangle of the interval Bézier curves is exchanged by the line segment which is the set that satisfies some conditions. The properties and subdivision of line segment Bézier curves are given. The line segment Bézier curve is a special case of the point set Bézier curves, and it has simpler structure and can be jointed together easily and smoothly, and the calculation time can be saved.