To be honest I don't think you can use an Image to construct an object automatically. Your best bet would be to trace the outline (Silhouette) of the Logo. Including the Inner regions. With Nurbs Curves (CV Curves) Then Simple: Surface> Extrude
Play with the options a bit until you get what your looking for.
www.stevenegan-cgi.com
"Your weapons are no match for ours! People of Mars, surrender!"
"Um, this isn't Mars. This is Earth."
"Earth? Earth-with-nuclear-weapons Earth?"
"Yes."
[long pause] "Friend!!"