The edges of the logo....? Look at the 'N' in 'New York Times'.
The real logo looks like this: http://www.nytimes.com/ ?
I'm a noob at Paint.net and image manipulation. I can make the logo white on a dark background easily, but the edges are not smooth. It's like I want to paint a white shape, the shape of the logo, on to a dark canvas.
Cheers.