The only way to have a customized PSN profile picture is with facebook integration

Although users can display their real name on the PlayStation Network, they cannot create a custom profile picture, even with the PlayStation Camera, unless they integrate their Facebook account.

Oh, cruel fate! The PlayStation Camera – previously known as the PlayStation Eye – can’t be used to create a PlayStation Network profile picture for the next-gen PlayStation 4. Although having your real name displayed is happening, the only way to pull real-world photos of yourself for the profile pic is through Facebook integration. We speculate it has to do with Facebook’s anatomical detecting algorithms.

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