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edited Mar 4 2010 at 3:47

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

More specifically, I am looking for a natural extension of the following 2D centroid algorithm in 3 or more dimension:

$alt text$ $alt text$

$alt text$

Any idea?

P/S: All the points are coplanar, this is the assumption.

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edited Mar 4 2010 at 3:33

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

More specifically, I am looking for a natural extension of the following 2D centroid algorithm in 3 or more dimension:

$alt text$ $alt text$

$alt text$

Any idea?

P/S: All the points are coplanar, this is the assumption.

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asked Mar 4 2010 at 3:07

Compute the Centroid of a 3D Planar Polygon

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

More specifically, I am looking for a natural extension of the following 2D centroid algorithm in 3 or more dimension:

$alt text$ $alt text$

$alt text$

Any idea?

geometry