如何用贝塞尔曲线创建圆? [英] How to create circle with Bézier curves?

问题描述

我们有一个起点(x，y)和一个圆半径.还有一个引擎可以根据贝塞尔曲线点创建路径.

We have a start point (x, y) and a circle radius. There also exists an engine that can create a path from Bézier curve points.

如何使用贝塞尔曲线创建圆?

How can I create a circle using Bézier curves?

推荐答案

如前所述:没有使用贝塞尔曲线的圆的精确表示.

As already said: there is no exact representation of the circle using Bezier curves.

要完成其他答案，对于具有n段的Bezier曲线，到控制点的最优距离(在曲线的中间位于圆自身上的意义上)为.

To complete the other answers : for Bezier curve with n segments the optimal distance to the control points, in the sense that the middle of the curve lies on the circle itself, is (4/3)*tan(pi/(2n)).

所以4分是(4/3)*tan(pi/8) = 4*(sqrt(2)-1)/3 = 0.552284749831.

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