Can a violent former husband be denied visitation with his children because he is abusive?

If an ex-husband was found to have been abusive to the children, it is unlikely that he would receive any visitation. If he does receive any rights of visitation, it is most likely that it would be supervised visitation, in which a social worker or other mental health professional is present while he meets with the children. His visitation time would also be strictly and severely limited.