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I don't think there's a way to do this just from the 2D graphics objects. Probably the most straightforward resolution would be to modify the way you're producing the 2D objects, to have them output 3D coordinates directly.

There has been some related work implementing Cylindrical and Spherical coordinates for 3D function plots, which might give you some other ideas too (although they were a little counterintuitive to me at first).