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transforming 2D plots to the surface of a sphere

Hi there Sagers:

I'm trying to use a cartographic projection $f:\mathbb{R}^2\to S^2\subset\mathbb{R}^3$ to map Sage 2D graphics objects onto the sphere $S^2$. Projecting points is easy, but how can i project polygons or function plots? Do i somehow grab the graphics object points and use point3d and $f$?

Thanks for your attention. Alex