I actually dont have to cut anything. The moving center, wont actually come into contact with the surface, its just sensing it. Kind of like a scanner. Does this drastically reduce my costs?
Yes, theoretically. A lot of effort goes into commercial router tables so that they're able to hold and push a heavy tool against a workpiece. If you're willing to build it yourself, something like the picture you posted would probably work pretty well for your application, but be pretty questionable if you wanted to mount a machine tool in the middle.
Unfortunately, the commercial implementations are aimed at tooling (there are "lots" of commercial designs designed to cut pieces out of standard 4x8ft pieces of plywood or plastic. Web search "shopbot", for example.) So in practice you probably won't find an "off-the-shelf" cheaper table. (4x4 shopbot seems to run about $16k)
You might search for "CNC foam cutter"; they're designed for the smaller loads, but they also seem to mostly be aimed at 3d applications...