Looking at the plot summary and the advertising for this movie, I was led to believe that this movie would be some kind of action packed serial killer movie. What I got was something completely different.
McGregor plays The Eye, some kind of surveillance agent, whose wife has left him and taken his baby daughter with her. That doesn't stop him from seeing his daughter in hallucination form. During a routine surveillance assignment, The Eye watches Judd kill his target, and he instantly falls in love (or something like love). He becomes so obsessed with Judd that he quits his job, and begins stalking her, and comes to find out that she's a virtual chameleon, changing identities on a whim.
What I thought would be an action movie turned out to be a very existential art film. It very much had the feel of a foreign film. The direction is very good; there are some things in this movie that I've never seen before (the bathroom scene is a good example). Both leads are good (although McGregor's part needed to be played by someone much older, not younger, that Judd). The daughter hallucination is annoying at times, but it's an effective plot device. The movie does just kind of go freeform after the first half hour, and logic goes out the window at times, but those are hallmarks of foreign films, which this feels very much like. A lot of people are going to see this movie and hate it (much the way that people who were expecting to see an I Know What You Did...-type movie hated Blair Witch Project). Not what I expected, but I was still satisfied.