The author has researched and developed a theory of computation for caricature and has implemented this theory as an interactive computer graphics program. The Caricature Generator program is used to create caricatures by amplifying the differences between the face to be caricatured and a comparison face. This continuous, parallel amplification of facial features on the computer screen simulates the visualization process in the imagination of the caricaturist. The result is a recognizable, animated caricature, generated by computer and mediated by an individual who may or may not have facility for drawing, but who, like most human beings, is expert at visualizing and recognizing faces.