Curved extrude profile?

 From:  Teddy
7766.1 
I made some closed lines, and I'm looking to extrude them.. that's simple. Buuuut.. I was wondering if there's a way to extrude into a curved surface instead of simply straight.

For instance, I'd like to extrude this sample into raised rounded bumps like a paw pad on a animal's foot.

https://www.dropbox.com/s/iiyvpl5ed6kn23b/Screenshot%202015-12-09%2011.02.48.png?dl=0