Because I had the glass and the camera working okay, I needed the projector and frame. So my friend came over with a Toshiba TLP-MT4. We hooked it up to the computer and pointed it at the glass. Realizing that continuing any further would be a pain in the ass, we set out to make a frame. My dad conveniently came home, and thus helped us make a frame. It turned out quite well as you should see in the pictures.

The table is front illuminated, meaning that the camera underneath tracks my fingers with the shadows of IR light being thrown from a lamp above. I could do it without IR, and I kind of am, seeing as there is no IR bandpass filter on the camera. It would be harder to create contrast between my fingers and the projected image, as you can see in the third photo.

So next up is to calibrate it properly, post a video, and eventually get a larger sheet of glass (Maybe a desk?) and make the frame sturdier.

In conclusion, I'd like to thank NUI Group for answering my endless questions and encouraging me to build a table, Keiver for helping out and providing the projector, my mom for the glass, and my dad for helping with the frame.