How Matlab calculate the centroid of a polyshape?

I am using the centroid command to find the centroids of polyshapes, but on the documentation I didn't find how Matlab calculates it... Somebody knows the formula used by Matlab centroid function?

[darova]

look here

[David Franco]

Thank you darova!

Answer 1

[David Franco]

From http://paulbourke.net/geometry/polygonmesh/:

Where:

[darova]

or wikipedia

[David Franco]

I found a old paper with the formula derivation:

John K. Hall. Algorithms and programs for the rapid computation of area and center of mass. Computers & Geosciences, Volume 1, Issue 3, 1976, Pages 203-205. https://doi.org/10.1016/0098-3004(76)90008-X.