The circumcenter of mass is a concept that can be defined by analogy with one of the the constructions for the geometric centroid for the case of polygons. The geometric centroid of a polygon may be determined by triangulating the polygon using any interior point, computing the center of mass of each triangle, taking the weighted sum over triangles where weights are taken as individual triangle areas, and dividing the result by the total area of the polygon. Doing the same procedure but taking the circumcenter instead of the geometric centroid for each triangle gives the circumcenter of mass, whose value turns out to be independent of how the original polygon is triangulated.

geometric centroid | triangulation