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