I'm a half Korean, half Chinese girl, and let me just say that no one has actually come up to me and told me I'm ugly. I do think that a lot of Asian girls/women are unattractive, but so are a lot of other females from different races. There are so many pretty Asian girls out there, and I just feel really hurt when people make an entire generalization and say that we're all ugly.
I don't know, maybe I'm just being too sensitive, but I think it's really mean...
Where did you hear that from anyways? I've never heard it. I've heard the random odd comment on the different shapes of Asian's eyes, but I don't think any of them really thought it was ugly, just a bit different from what they're used to seeing.
Wherever you're hearing that from, just ignore it and feel bad for them, not yourself or your race. They have the problem, not you.
Rest assured that there are plenty of people who are just the opposite, who do indeed find Asian girls attractive. What one person finds attractive, another may find ugly, and vice-versa.
That said, you should realize that in some places, very few people will find you attractive. In other places, lots of people will find you attractive. You can thus exercise some control over this by choosing where you live, what social functions you attend, and whom you choose to associate with.