What is the Buddhist Way to Reform and Correct People?

In early Buddhism we see that characters like: - Angulimala - Ajatasatru - Ashoka In recent times we have seen S.N.Goenka doing prison courses . Also there are new perspectives in correction discussed in talks like: The neuroscience of restorative justice . So how can Buddhism be used for the correction of people, and how does this compare with other developments in this area using lessons and teachings from within the Tripiṭaka ?