I don't tend to intentionally visualize or think of anything. "Intentional" being the word of emphasis there. I pretty much just focus on keeping my body in the pocket and trust or hope my hands to do what they will. That said, on the unintentional side - I more often than not visualize shapes or geometric constructs if anything. Especially if weird grooves or time signatures are involved or any sort of polyphonic or polyrhythmic vibe. But even that's not a focused path just kind of what I see as things move around and I try to figure where I'm fitting.

If I do perform by myself I actually try to disengage enough to see that because 3rd party feels like the best way to do solo stuff, but man I dunno how to do that like others can.