function THEME_OR_MODULE_NAME_node_view_alter(&$build)
{
    global $user;
    if($user->uid == 0)
    {
        if($build['#node']->nid == 1) // add node id's you want hidden here
        {
            if(isset($build['field_image']))
            {
                unset($build['field_image']);
            }
        }
    }
}