When you project an image on the dome, it warps and wraps around the dome.
So to not get a distorted image I created some video files in After Effects to pre distort the image so when it warps, it gets re-warped and we’ll have a somewhat clean image.
If you project a clean image on the dome the sides will get stretched.
First I looked into how a checkerboard wraps around a ball.

As you can see, the sides are squished and in front its clear, this is the exact opposite of what happens when you project an image on the dome, so this is what I have to simulate in After Effects.

First I grabbed my material,

After that I warped it to make it look like this.
I did this with multiple surfaces.
After rendering the test file I tested it out on the dome and re adjusted it later.
One problem we faced while testing was that the paint layer was too thick and we needed to repaint the dome again.





