Are you saving to the devices internal storage or to an SD card? If to an SD card, try taking the card out and then try and take some pictures to see what happens.
I want you to take pictures with your phone! I know how important these memories can be, believe me. I've checked and the camera is not showing to be a known issue with the Blackberry Z10. Is this happening every time you turn on the camera? Are you using a 3rd party camera application? Is this a new issue or has it been this way since you got the phone?
Please supply me with some additional information, I'm eager to assist you.
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When it does lock-up the phone, I pull the battery and re-install in order to shut it down . Immediately after that it works. Later after I've used other apps (email, etc) it locks up again. It is the camera software that came with the phone and it has been doing since I got it.