Window to Virtual World Coords

I'm new to j3d and java in general. I've got an application that creates objects in a SimpleUniverse and then navigates around them using my own behavior similar to OrbitBehavior.
I need to be able to take some given display window coordinates (like the center of the window, regardless of its current size) and compute where those window coords intersect a plane in virtual space where my object lives. I know how to get the window size and do the math, but I need to somehow obtain the transform(s) that convert from virtual world coords to display window coords. I've looked through the j3d tutorial and API spec, but couldn't find what I think I'm looking for.
Can anybody tell me how to obtain the necessary transform(s)?
Contrary to what's listed in my profile, my email is [email protected]

I've never done that... But maybe there's something in the Locale object of the Universe you can use...

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