[PD] bbox for an ellipse

[Jonathan Wilkes]

Hi list,
 Anyone know a straightforward way to find the axis-aligned bounding box for an ellipse given:
* center x
* center y
* radius x
* radius y
* arbitrary affine transformation applied using an svg-style 3x3 matrix

Right now I'm just doing the trivial calculation for the bbox of the untransformed ellipse, then multiplying the matrix times those coordinates.  That gives me a box that includes the ellipse, but I'd like to get the tightest fitting one.

Thanks,
Jonathan
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