Major retina screen problems after one year

As you can see in the picture, the screen coating is wearing off of my Macbook Pro Retina. It began after only 1 year of use, resulting in white scratches covering 1/3 of the screen. At this point it's pretty bad and makes my expensive laptop look like a piece of junk. I've never scratched the screen, and I've only cleaned it very occasionally, with nothing but water and a soft cloth. I rarely close my laptop - it's essentially a home computer - so I'm sure it's not a dirt problem. People tell me it's the anti-reflective coating that's wearing off. Will Apple repair this for me?

Macbook Pro Retina 15" Mid-2012

2.3 GHz Intel Core i7

Running Yosemite 10.10.2