Humans, animals and various devices only have 2D vision: that is, we see a 2D projection of light reflected from various 3D objects in the direction of our eyes (and processed by our brains).
I would like to describe a 3D vision, but without being fancy 5+ dimensional beings. Questions are both: how can it be realized and how would it feel to have such a vision?
I want to keep all the limitations of our usual vision: finite resolution (amount of pixels), finite field of vision (area and distance), finite time resolution, finite spectrum and spectral resolution, etc.
Of course I don't want to keep is to rely on electromagnetic spectrum alone. Better have a combination of scanning instruments, including various elementary particles.
1) One way is to have a million nanorobots (or organic analogue) with sensors floating in space and communicating with each other / some external processing device. If they are tiny enough they can even 'see' inside living tissue or some porous materials.
The processing needed to 'comprehend' such image in real time is enormous though. And also, it will not be a higher-dimensional analogue to our vision, because we won't be able to 'turn our head' and see another 3D projection of a 4D object, we'd be more like a right hand circle in this 2D space:
2) On the other hand a complete analogue the vision I want would be a usual 3D being seeing in 2D space:
In this image purple lines is what the blue ball sees: projection of a 2D space at different moments in time.
Since I don't want extra dimensional beings, let's say we are all 4D (including time) and go from there. Now it's much more complicated to realise, since 'turning our head' we'd be able to see a projection of 3D space existing at several moments of time simultaneously in the past and in the future.
I can't even begin to imagine how it would feel and how it could be processed.
In the end, I would like some help in fleshing out both options 1) and 2), possible ways to desribe them, and related problems and maybe some references to similar ideas?
There's a similar question here Would a 4-dimensional being be able to see inside other people? and one of the answers describes something similar to what I want https://worldbuilding.stackexchange.com/a/78789/32642, but all of it is not science based.