Where is the DCIM / Camera Roll directory in iOS?

Looking to manually copy photos from the iPhone Camera Roll to a computer? There are several desktop applications that will allow iPhone file system browsing. If your device is jailbroken, you can also connect to the iOS filesystem with ssh.

But where is the path containing iPhone pictures? When taken, new photos are stored in folders created inside the DCIM directory. These folders all have the word APPLE followed by a number. Image files are located within these APPLE directories.

The full path to the Camera Roll directory on iOS is the following:
/private/var/mobile/Media/DCIM/