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You need to compute a homography between your projector screen and a top view you have generated. If you are working with red dots, consider two images: the first image is your scene image where you can try to find the red dots - cherckerbaords or markers would be more appropriate by the way! On the second image, define the corners of the projector image and compute a homography between these two corresponding point pairs. 4 correspondences are a minimum!

With this homography, you can warp your projector image in your top-view image. So, try to search for these two subjects.

Hope this helps :-)