Didn't the press release stated that they installed dual mast GPS on a crane?
If that's the case than they could have defined hook or boom or bottom of the load as the "cutting edge" and have simple, template based 3D model for the 3D avoidance zone.
"Onboard, a touch screen shows the driver a 3D view of the crane boom’s proximity to the closest conductor and the closest section of the safety envelope... "
You're in FILL, your'e safe with fill value showing vert. dist from the "3D avoidance zone".
Energised power lines could be alignments providing real time offsets.
Doesn't transpire to me that they were using 3D model + 3D avoidance.
But that is just my guess.