In this case, they're basically using a neural network to approximate a really tricky high dimensional function from a lot of measurements from a scene, and use it to interpolate values.
Think of it as "fancy (non)linear regression" or something like that.
It's quite clever.
I'm now wanting to set up my magic bullet rig to try this!
Just thinking about consumer equipment, being able to shutter release and fire a laser "burst" precisely enough would be a challenge. If the shutter release is wired, does the time for the signal to travel down the wire + the mechanics of the shutter need to be compensated for the time of flight of the "photon"? I could see this being one of those YouTube channels with someone doing this in their garage.
All of that to say that the accuracy of what they've done is impressive