It makes sense what lines correspond to in the UV plane, vertical lines are just some x position (so a normal photo), horizontal lines are some fixed small aperture, and arbitrary lines correspond to some tilted focal plane where you have different focii at different points. Does it make sense to think of arbitrary functions on this space? What does that correspond to in general and is there some easy intuition for this mapping?

It makes sense what lines correspond to in the UV plane, vertical lines are just some x position (so a normal photo), horizontal lines are some fixed small aperture, and arbitrary lines correspond to some tilted focal plane where you have different focii at different points. Does it make sense to think of arbitrary functions on this space? What does that correspond to in general and is there some easy intuition for this mapping?