DUUUDE come on. What is wrong with you? They are fuckin stars and it wouldn't have cost you a single dime to ask her to take a picture with you on this +- 9hr flight. This is just sad.
This^
Here's how the conversation goes when you/her sit down together:
Creepy Guy: "Hey, I'm Creepy Guy [that's going to take a picture of you sleeping at some point]."
Natalie: "Oh hey, I'm Natlie."
Creepy Guy: "Have we met? You look familiar."
Natalie: "You've probably seen a film I was in."
Creepy Guy: "I'm not good with names, can you give one to jog my memory?"
Natalie: "Leon the professional."
Creepy Guy: "Oh, you were that little girl?"
Natalie: "Yup."
Creepy Guy: "Neat. Hey, before we get going, mind if I snap a picture with you [before I secretly make some while you're sleeping] to show my friends?"
Natalie: "Sure, but keep your hands were I can see 'em."
Creepy Guy: "Awesome. Thanks for the photo. So, are you off to get sight-see, get stoned, or something in Amsterdam? I'm here for work."
...
And so it continues.