计算3D平面多边形的质心 [英] Compute the centroid of a 3D planar polygon

问题描述

这是与此一个在这里类似的问题. /p>

给出定义表面的3D坐标列表(Point3D1，Point3D2，Point3D3等)，如何计算表面的质心?

在2D模式下，计算由以下公式给出:

那3D模拟物怎么样?

解决方案

如果它是平面，则可以转换为平面局部的坐标系，使用您提供的公式计算质心，然后转换回以获得它在3D空间中的坐标.

This is a similar question to this one here.

Given a list of 3D coordinates that define the surface( Point3D1, Point3D2, Point3D3, and so on), how to calculate the centroid of the surface?

In 2D the computation is given by the following formula:

What about the 3D analogue?

解决方案

If it's a planar surface, you can transform to a coordinate system local to the plane, calculate the centroid using the formulas you presented, and then transform back to get its coordinates in 3D space.

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