http://gamingbolt.com/battlefield-4-visual-analysis-ps4-vs-xbox-one-vs-pc-xbox-360-vs-ps3 has written
PS4 vs. Xbox One vs. PC
We’ll get this out of the way right now: The PS4 version looks better than the Xbox One version. It’s not a far and away victory, but the differences are very noticeable. Of course, neither compare to the PC version in performance but we’ll get to that.
The PS4 version outputs at 1600×900 resolution while the Xbox One version features a 1280×720 resolution. You’ll notice the utter lack of “1080” in both resolutions due to the goal of maintaining a 60 FPS frame rate. Overall, the level of destructibility, the sheer detail in the textures – whether it’s assorted debris or individual rain drops hanging off one’s gear – and the busy surroundings raging with tidal waves, capsizing ships and explosions is just as impressive now as the first time we laid eyes on Battlefield 4.
That being said, both the PS4 and Xbox One stall significantly in their frame rates when encountering these sequences. The PS4 is a lot better, losing only a few frames every now and then, but still suffers significantly when playing online.