As soon as I saw the words "prevent the user" I started to wail in agony. Never prevent the user, only help them.
If they see your registration page and run off, that's their choice. Pop up a javascript confirm box if they've already filled in some data (because they might be navigating away accidentally) but leave it at that. If they haven't touched the form, leave them alone - they don't want to fill in your form.
Look at other methods of engaging users. If your form is huge and scary, break it into simple manageable chunks or better yet, simplify things so much that the user only gives you data when you need it. For example, you might not need their address until you want to post something to them.
By breaking it into multiple parts you can hook them with a simple form and once they've invested that time, they'll be more likely to continue the process.
But don't harass users. If they don't want to register, pestering them with pop-ups and jaavscript dialogues will just chase them off the site completely.
With that in mind, assuming you're just trying to stop people half-filling-in forms, there are a couple of options to genuinely help people:
Detect if the form has changed and ask them a simple confirm()
message.
This is all you can do. A CSS "pop-in" just won't work because you can't control* the window location in the unload event.
*You can put an event listener on all your page's links to fire off something to check the form, but this only helps if the user clicks on one of those links. It won't help if, for example, the user clicks back or closes the window. You could do both CSS and javascript but you end up with a bit of a mess.
Persist the state of the form behind the scenes.
An extension to #1. Instead of squabbling with the user, let them go where they want but save the content of the form either to session or cookie (if it'll fit) and put something on the page (like SO's orange prompt bars at the top of the page) that reminds them that they've started filling in a form and gives them a link back to the form.
When they click that link, you load the data out of the cookie (or session) back into the form and let them carry on. This has the clear benefit of letting them do what they like on your site and keeps the data safe.. ish.
If they don't come back and their cookie/session expire, that's their fault. You can only lead a horse to water. It's not your job to force it to drink.