Centroid of convex polyhedron?

Question

I have a closed convex polyhedron which is defined by an array of convex polygons (faces) which are defined by arrays of vertices in 3D space. I'm trying to find the centroid of the polyhedron, assuming uniform density. At the moment I calculate it with the algorithm in this pseudo-code. public Vector3 getCentroid() { Vector3 centroid = (0, 0, 0); for (face in faces) {   Vector3 point = face.centroid;   point.multiply(face.area());   centroid.add(point); } centroid.divide(faces.size()); return centroid; } This essentially takes the weighted average of the centroids of the faces. I'm not 100% sure this is correct as I haven't been able to find a correct algorithm online. If someone could either confirm my algorithm or refer me to a correct one I would appreciate it. Thanks.

Answer 1

Yes, it looks like you are on the right track...

Here is some code from Stack overflow:

public Vector3 getCentroid() {Vector3 centroid = (0, 0, 0);for (face in faces) {Vector3 point = face.centroid;

point.multiply(face.area());

centroid.add(point);}

centroid.divide(faces.size());return centroid;

}