Problem Solved

I read the API docs very carefully and did the following.

Created a Clip object, and set the background distance to a
sufficiently large number.
Set the bounds for this clip as the SphericalBounds object I was
using. SphericalBounds is a derived class of Bounds.
Added this Clip object to my TransformGroup. Which is a derived class
of Group.

Viola!

Aaron Hirshberg

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