# 2D SAT How to find collision center or point or area?

I've just implemented collision detection using SAT and this article as reference to my implementation. The detection is working as expected but I need to know where both rectangles are colliding.

I need to find the center of the intersection, the black point on the image above. I've found some articles about this but they all involve avoiding the overlap or some kind of velocity, I don't need this.

I just need to put a image on top of it. Like two cars crashed so I put an image on top of the collision. Any ideas?

## Update

The information I've about the rectangles are the four points that represents them, the `upper right`, `upper left`, `lower right` and `lower left` coordinates. I'm trying to find an algorithm that can give me the intersection of these points.

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Why can't you just take the midpoint of the two rectangles' centers? – you786 Oct 2 '12 at 18:18
Would this work with rotated rectangles? I've updated the question with more examples – Felipe Cypriano Oct 2 '12 at 18:26