How do I render an ellipsoid?

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Kalisme

I've been thinking about working with ellipsoids, the ideas been in my head for a while, but unfortunatlely I was busy with other things.

Does anyone have any suggestions on rendering fast ellipsoids (pixel-by-pixel)? I'd like to be able to rotate them, but if I guess I can figure that part out... I've read a few tutorials on the fast rendering of rasterized circles, but I've had a hastle distorting the two differant scalers... A bit of a pain really... Anywho, I'll be thankful for any help given.

I'm hoping to render them as 2d objects, then faking the 3rd axis by shading and using the Z-Buffer. I guess Ecstatica enspired me.