Can you tag / categorize images

I would like to be able to pull images with certain tags but as far as I can tell there is no way to categorize images you can only tag the post that they are in.

I basically want the ability to tag / categories when you upload the pictures, then the ability to use get those images with specific tags to display on another page within the website

I googled and found a lot of people looking for the same thing, but few solutions.