Am I a "pervert" if I compliment a woman's physical appearance?

I've never dated a girl before but am trying to change that. I was at a restaurant the other day. There were two young women (probably in their twenties, like I am) talking to each other. One of them had glasses and I remember thinking that she was one of the most beautiful women I had ever seen. Both of them were finished eating and she kind of glanced at me as I passed her table before looking away. They left the restaurant very soon, but I remember thinking that if I had been alone that day I would have approached the table and tried to make conversation. In my boldest dream I would come up to her and tell her that I thought she was the cutest girl I had ever seen and then would have given her my email. I also considered just handing her a book with my email scribbled inside, along with a compliment.
But at the same time...in romance comedies the guy who does that kind of stuff is usually the "bad guy" in the movie, who ends up getting humiliated by the girl. There is one goofy movie where a guy doing something something similar gets confronted by Cupid, who turns him into a dog to teach him a lesson. In another movie a ninja grandma beats up the guy. In comedian talk shows, guys who compliment women like that are often called perverts and are the butt of jokes, while Meghan Trainor wrote a song telling girls to say no to that kind of guy.
With so much pop culture against that type of man, I wanted to know what you thought. If this were a movie and I had approached that young woman with glasses and complimented her like that, would I be the bad guy?