count the number of views of a post excluding own views

The plugin appears to be processing the view on the wp_head hook. That means you ought to be able to do something like this:

function remove_view_counter_wpse_102637() {
  global $post;
  $current_user = wp_get_current_user();

  if (
    is_single() 
    && !empty($current_user)
    && $post->post_author == $current_user->ID
  ) {
    remove_action('wp_head', 'process_postviews');
  }
}
add_action('wp_head', 'remove_view_counter_wpse_102637',1);

No guarantees. I don’t use that plugin and can’t test that, and the conditions may not be exactly right, but that concept should work.