Unfortunately, restoring is an all or nothing thing; you would have to restore the entire backup. While not easy, what you could do is create a current backup in iTunes (by going to the Summary tab of your iTunes sync settings and clicking on Back Up Now under Manually Back Up and Restore), then restore to your iCloud backup, import the recovered photos and videos to your computer (http://support.apple.com/kb/HT4083). Then follow this by restoring to your iTuens backup (by going to the Summary tab of your iTunes sync settings and clicking on Restore Backup under Manually Back Up and Restore), then syncing the recovered photos and videos back to the iPad Mini.
Well if you saved photos and videos in your iPad mini then you can recover it by using iCloud.
For recovering data using iCloud follow given step's:-
===>First of all Go to iCloud.
===>After that Login with your Apple ID & Password.
===>Now select Storage and Backup option.
===>Now restore your backup and restart your iPad.
===>If you didn't save data in your iPad then you can recover by using Data Recovery Tools.
===>Data Recovery Tools can be easily available on internet.
Hope it helps.........