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.