Yeah, and I'm left with a sour aftertaste every time some random guy invades my personal space, looks me up and down and makes it very obvious that he views me as a piece of meat. This article is based on my perceptions of my personal experience.

That being said, you asked about what is more welcome, so I'll tell you. First never invade anyone's personal space. Second, there's nothing wrong with a polite hello. She'll let you know from there if she's interested in any further conversation.