Ubuntu :: Filter Image Files By Size?

I need a command that will check the size (visual size, not file size) of every image in a folder and its sub folders, and make a copy (or even better, a hard link) of that file in a second directory if the image is larger than 1920x1080 pixels (in both dimensions, not just total area). Also, lots of these file names have spaces, so the command needs to be space-tolerant

I'm guessing I would need to use one of the imagemagick commands and find, but I'm not sure where to start. I'm still reading man pages, but I thought someone here might save me some time.