Why does Ryu have a headband on his head?

Once I saw an animated Street Fighter movie. In a part of Ryu's childhood, it showed that Ken kicked Ryu down a tiny pair of steps. Ken asked if Ryu was okay. Ryu thought he was alright, but he looked hurt in his head (you know, there was a bit of blood), so Ken took off his headband and straped to to Ryu's head.

It was in the movie, but I don't really know if it is right or not.