Director Bille August has admitted that the film did not turn out as well as he hoped. He said that in hindsight, adapting Peter Høeg's novel into film had serious problems from the script stage.
On the boat while, listening to the tape, Licht tells Smilla that an EEG is monitoring someone's heart. EEGs measure brain waves; EKGs (also called ECGs) measure heart rate and electrical activity.
When Capt. Lukas is first seen in the casino, his hair, eyebrows, mustache are all black, with a little gray at the temples. The next day on, the ship, all of his hair is gray.
When Smilla climbs over the fence after feeding the guard dog food laced with a tranquilizer, the dog disappears in one shot. It reappears in the next shot, then switches its sitting position from left to right between shots.