I found a question like mine in this group [1] but it was not answered and is very old. So i want to ask again. I have multiple circles with different radius each intersecting all others. I want to calculate or approximate the centroid of the intersecting area. The focus of the solution must be to find this or a near point very fast.

I found some nice paper [2] but it seems not to work with all possibilities and only with 3 circles.

Till now i think about calculating all points of intersection and build the centroid of those points.

Please share some ideas with me on how to solve this problem without to many calculations.