Divide plane into two separate planes

Hello,

I am trying to plot random points in different areas of a plane (similar to the picture below). How can I divide the plane into different regions where i can randomly plot a different amount of points in each side?

Thank you for you help,

Christine

Answer 1

[Matt J]

Let b1 and b2 be basis vectors for the plane and let x0 be a point in the plane. Then, for example,

x0(:) + b1(:)*randn(1,N) + b2(:)*abs(randn(1,N));

will result in N random points on one side of the dividing line x0+t*b1 (the one passing through x0 and parallel to b1), while

x0(:) + b1(:)*randn(1,M) - b2(:)*abs(randn(1,M));

will result in M points on the opposite side.

[Christine Husni]

Thank you !