Does justice differ from revenge?

I came across this article online from Psychology Today. I am not buying the argument. To the extent that justice involves restitution to a crime victim then it differs from revenge. The part of justice that thinks that a person has to pay for a crime is just institutionalized revenge. The main difference between this form of justice and vigilante revenge is that the rules for punishment are clearly specified before the offending act. We need to admit that in addition to taking criminals off the street and using deterrence, revenge is one of the reasons we use to imprison people.