Oooh, that had to smart
After banging the door back into its rough shape using a hammer and a slide hammer, I applied some body filler to further smooth door. After the body filler, which you can see in the third picture, dries it can be sanded smooth.
The last two pictures show the bruised areas after being sanded and a coat of primer applied. The fourth picture is the repaired area of the door and the last photo shows the door molding, removed from the car and on the paint stand.
Now that the damage is repaired, all that is left is to make it disappear.