You can uninstall or removes an installed eog package itself from Ubuntu 16.10 (Yakkety Yak) through the terminal,
$ sudo apt-get remove eog
If you would like to remove eog and it's dependent packages which are no longer needed from Ubuntu,
$ sudo apt-get remove --auto-remove eog
If you use with purge options to eog package all the configuration and dependent packages will be removed.
$ sudo apt-get purge eog
If you use purge options along with auto remove, will be removed everything regarding the package, It's really useful when you want to reinstall again.
$ sudo apt-get purge --auto-remove eog