How do I calculate a 3D centroid?

Question

Is there even such a thing as a 3D centroid? Let me be perfectly clear—I\'ve been reading and reading about centroids for the last 2 days both on this site and across the we

Answer 1

I like the question. Centre of mass sounds right, but the question then becomes, what mass for each vertex?

Why not use the average length of each edge that includes the vertex? This should compensate nicely areas with a dense mesh.