A way to fill a polygon with the lowest possible number of rectangles

[Duugu]

Well, I know this forum is not about graphics programming ... and the topic is not even wow-specific (at least not right now *g*).
But, I've searched for hours now and I can't figure out how to do it. So, I'm just hoping that there's someone out here, who knows a way or at least has an idea where to search for it.

I am looking for a fast way to fill a polygon (non-convex, no intersections) with the lowest possible number of rectangles.

Any idea anyone?