First it looks like you applied just regular subdivision.All that does is separate each face into 4 faces. You would need use the Catmull /Clark subdivision modifier and apply it. Make sure to apply it, lol. Set shading to flat to always see what the print will look like If you want, you can attach the Blendfile here in an attacmnent.
Here is a link to some examples on smoothing stuff
https://www.shapeways.com/forum/index.php?t=msg&&th=1 2123&goto=59090#msg_59090
Keith
Last edited: Dec 28, 2012