Planetaria graphics and mapping Cartesian to polar graphics

[Acoustic Interloper]

Having successfully completed the first of many planetarium shows, I want to start investigating writing graphics software for circular displays. Michael O'Bannon clipped a conventional rectangular laptop display to a circle, and that worked pretty well. I want to project onto polar coordinates, and write graphics software, preferably in Java, customized for that. Any pointers to references, Cartesian to polar software libraries, etc? Thanks!

[audiodef]

No, but I like the idea very much.

This would be wonderful for circular video projection, and maybe later for spherical holographic images, inside which you could fit a performer and a small audience.

Yes, I watch far too much Star Trek.