Not sure if it will work the same, try turning off ambient occlusion...
Same error here with a Radeon 4850 HD. This is the same error i was getting in the BF4 Beta and is still here in the final version of the game... Great...
I have the same problem with my ATI Radeon HD 4600 series. I found this fix, download it and now I can play without any problem. I hope this will work for u too. You can download the fix from the link below: