Filling a concave polygon

[Duster]

Is there any way I can do this? love.graphics.polygon's "fill" mode doesn't support them, so I can't use that or a stencil. I've tried meshes as well but no luck.
Assuming it also has an arbitrary amount of vertices, is it possible without headache?

[Azhukar]

http://www.love2d.org/wiki/love.math.triangulate

[Duster]

Neat, works perfectly. Thanks very much!