I've wrote a code in MATLAB which asks a user to enter some classes of points in 2D as input(user enter points graphically). When all the points were received, then my code make a Convex Hull of each class and shows them to the user(you can see one example in below image).
Now my code check these Convex Hulls for any intersection and If two classes was separated from each other(have no intersection), I want to find the Hyperplane equation between this two separated Convex Hulls.
Is there any MATLAB's way to find this Hyperplane equation?
I know that Support Vector Machine(SVM) use hyperplane to classify separate classes, but I don't need to train a SVM because I know that my code try to find hyperplane just when two classes are separated. So I don't want to use SVM to protect run time of my algorithm from wasting time to computing so many things that I don't need to (one example of using SVM for this, is here and this is not my answer!).
Notice: I'm using MATLAB 2014a. I have the coordinate of each point. Best hyperplane is the goal(with maximum margin) and if there is more than one, one of the best hyperplanes is enough. In this part, I just want a hyperplane between two(not more) classes.
