How do I hide Quicktime Player's controls when the video is paused? I'm trying to take a screen shot (using Grab) of a quicktime video that is paused.  The problem is that the video controls don't disappear, and thus are shown in the resulting shot as seen below:

Is there anyway to hide this UI when paused, much like it hides when the movie is playing?
I'm using Quicktime 10.0 on 10.6.8 (Snow Leopard)
In case no solution for Quicktime is found, here is a solution for movie snapshots using the VLC Media Player.

In the preferences disable Add controls to the video window and click Save. Now you can take a snapshot as explained in my other answer.