"Another aspect of this is that we are most inclined to resent the offenses of others when they resemble our own offenses in some way. Examining your own conscience is a good way to see an offender in a clearer light."

I really don't think that is relevant in extreme cases like those mentioned by Lizzie.

It may be alright for some "do gooders" to forgive child rapists or murderers, but try telling that to the parents involved. They have to live with the horror for the rest of their lives.
They will never have peace of mind, whether they forgive or not.

Some crimes are so extreme, that the perpetrator is beyond redemption.....and forgiveness IMO.