Convex Hull using Divide and Conquer Algorithm with Graphic design

The program is to divide points into two areas in which each area designates its convex hull. Then two convex hull merge in one. The program is to have an educational character, and therefore a graphical interface with the buttons "next step, previous step, drawing points and the possibility of re-drawing/rand if the points system person does not like it. Ideally, the program would use the quick hull algorithm to draw individual hulls. The program must be written in Java