KalEl

        public Point2D.Double getGeoMedian(Point2D.Double start) {
            double cx=start.x, cy=start.y;
            double lastcx,lastcy;
            int cnt=0;
            do {
                lastcx=cx;lastcy=cy;
                cx=0; cy=0;
                double totalWeight=0;
                for (int i=0; i<points.size(); ++i) {
                    Point2D.Double pt=(Point2D.Double)points.get(i);
                    double weight=1/pt.distance(lastcx,lastcy);
                    cx+=pt.x*weight; cy+=pt.y*weight;
                    totalWeight+=weight;
                }
                cx/=totalWeight; cy/=totalWeight;
            } while ((Math.abs(cx-lastcx)>.5 || Math.abs(cy-lastcy)>.5) && cnt++<2500);
            return new Point2D.Double(cx,cy);
        }