Finding coordinates of room corners from layout contours

I am trying to find room corner coordinates based on contours which I obtained from a room layout estimation network such as this one: GitHub - liamw96/pytorch.room.layout: room layout estimation pytorch project

An example of how my contours look like:

I am thinking if some heuristics based logic can be used. My main goal is to overlay a floor texture with right perspective using homography transform as next step but for that would need a set of good coordinates using these contours.

One initial idea I have is to start traversing contours and keep track of change in slope of line and if it exceeds a threshold consider it as corner. But it seems quite brute force and most wouldn’t generalise.

Any ideas or suggestions highly appreciated. Thanks!