FYI, the trailer for the documentary at the bottom of this article has a clip that makes it clearer what exactly he does with the mirror to help him paint photo-realistically. It wasn't super clear to me until seeing that.
Here's a screenshot. The mirror is on the top, and the painting surface is below: http://i.imgur.com/Uk7vSQ5.png
Or on the painting of his father-in-law: http://i.imgur.com/WP2ls3A.png