线段python的圆上最近的点 [英] Closest point on a circle to a line segment python

问题描述

我需要找出盒子和圆圈之间的最近距离，但是，我意识到这可以分解为线段和圆圈之间的最近距离。

I need to find the closest distance between a box and a circle, however, I realize this can be broken up into the closest distance between a line segment and a circle.

• 我有线段 point1_x ， point1_y 和 point2_x ， point2_y


• 我有一个圆圈，中心 circle_x ， circle_y 和 radius radius

• I have a line segment of two points point1_x,point1_y and point2_x, point2_y
• I have a circle with center circle_x, circle_y and radius radius

是否有一个python库支持这个开箱即用的功能，如果不是，有人可以提供一个函数来完成所以？

Is there a python library that will support this out of the box and if not can somebody present a function to do so?

（我相信我必须找到与该线相同斜率的圆上的切点？）

(I belive I have to locate the tangent point on the circle with the same slope as the line?)

推荐答案

模块。安装时使用：

The euclid module. Install with:

pip install euclid

然后像这样使用它：

Then use it like this:

>>> from euclid import *

>>> circ = Circle(Point2(3., 2.), 2.)
>>> line = Line2(Point2(0., 0.), Point2(-1., 1.))
>>> line.distance(circ)
1.5355339059327378

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