In need of a wide lens camera for my homemade Tile-o-matic machine

Hello fixers, i run Norways smallest tileshop where we specialize in Maroccon handmade tiles, we got over 400 tiledesigns so we needed to make a machine, where the customer could project one tile into a bigger picture of more tiles. I made the machine , but i need a wide lens camera for my raspberry pie.

The sketch shows the measurments the camera needs to handle, hopefully without alot of fish eying, so the tile keeps it squareness.

Hope someone has a great idee, so i can finish this evergoing project.

Take care, Lasse