http://images.eurogamer.net/2013/articles//a/1/6/2/7/9/6/6/BF4_XO_013.bmp.jpg
http://images.eurogamer.net/2013/articles//a/1/6/2/7/9/6/6/BF4_PS4_013.bmp.jpg
Feel free to compare the actual screenshots and not resized 256 color gifs when pointing out differences, so you don't get caught short imagining details that aren't really there.
Everything about this game looks better on the PS4, and better still on the PC, the only difference between console versions really is the brightness, and you can adjust that yourself with your tv if you want it lighter or darker, the only other difference is that the xbox one uses an aggressive sharpen filter on upscaled video, hence why everything, including the jaggy edges, look sharper.
That may well do well to give the perception of a clearer image in your browser window, but on a big tv the difference is going to be quite dramatic, especially when using scopes.
Additionally, if ever we end up with a multiplat that runs native 1080p on ps4 and upscaled 720p on xbox, the difference in image quality is going to be even more noticable, aggressive sharpen is a really bad idea, i would'nt be surprised if the launch units are just setup this way to make initial launch titles look like they are using higher resolution textures, and that eventually a update fill tone down the sharpness or remove it from post processing completely, and you should really hope they do, because it looks awful.