Quadrilateral of Best Fit

[rp181]

Our team is attempting to have functioning vision. At this point, we have an algorithm to detect blobs, compute the convex hull of the blobs, and calculate the area score and AR score.

Assuming I can pick out which polygon represents the square, how do I go about extracting the 4 corners of it? The computed polygon has around 20 vertices every time, and in order to do the necessary calculations, I need the 4 vertices of a quadrilateral that best describes the shape.

How would i go about this?