New coin design not so new after all

This weekend I received in change a one-cent piece bearing the new image of the Queen, as shown here. This is the fourth image of Her Majesty to grace our coinage. However, in this case it seems the Americans got there first. They introduced a coin back in 1979 with a very similar look to it, as illustrated here. Did the earlier design influence the later one? Or is the Queen actually coming to resemble Susan B. Anthony as she ages?