I have a set of points in the plane and I want to find all convex polygons without including a point inside them.
For example I want to find all triangles, all four sized polygons, all four five sized polygons and so on until is possible to find them without including a point inside them.
In the image, row a corresponds to convex polygons of size 3. While column 1 and 2 show correct examples of what I want, column 3 shows a triangle including two points inside of it, which I dont want.
Rows b and c show examples of polygons of size 4 and 5.
I appreciate the help.