This reminds me of dual photography:
<a href="http://graphics.stanford.edu/papers/dual_photography/" rel="nofollow">http://graphics.stanford.edu/papers/dual_photography/</a>
in the sense that I imagine unscrambling the glittered image will be significantly easier if you can plug in known sources to the transfer matrix.<p>Edit: the video there didn't work for me any more, here's the youtube link <a href="https://www.youtube.com/watch?v=p5_tpq5ejFQ" rel="nofollow">https://www.youtube.com/watch?v=p5_tpq5ejFQ</a>