Shorten image URLS by removing /wp-content/uploads/

Hi – I am trying to hide or shorten the URL of files or pictures uploaded to the /wp-content/uploads/ folder.

By default in WordPress if you upload an image, pdf, etc and insert it into a post or page it will have a link like this:
“https://www.mysite.com/wp-content/uploads/2013/05/picture.jpg”

I would rather the URL looks like this:
“https://www.mysite.com/2013/05/picture.jpg”

Is there a plugin or some hack that will let me hide the “wp-content/uploads” from showing up in my urls?

Thanks!