trouble filling in a closed vector shape

[madscijr]

I tried doing the "centroid" of the triangle as you suggested, but that requires knowing 3 points whose middle lies enclosed in the shape. If you look at the V and H in the band logo here we see it may not be so easy if the starting point isn't the top left or top right. Once the point is found for the V and the H, it can be adjusted as the shapes change scale. So by robust I mean an algorithm that takes a set of points for one or more non-connected COMPLEX shapes and determines the "inside" point of each, WITHOUT a human having to tell it which points to use, where the start and end points can lie anywhere.