I have a very interesting problem and I think I need a little hint in the right direction.
I have a number of points which form a somewhat elliptical shape (filled, and including outliers) and I want to fit an ellipse to it. I have found out that the proper term for this kind of problem is finding the "second moment ellipse", but the information I found to it is very limited. I suppose it has to do with the moment of intertia of these points and the resulting ellipse is defined by having the same moment of inertia. Is this correct? Does somebody know a good algorithm for determining the second moment ellipse of a set of points?