1. An apparatus for creating a three-dimensional caricature based on a user's input facial image, comprising: a memory unit for storing ASMs (Active Shape Models) required to create the three-dimensional caricature, and three-dimensional polygon face basic models; a pre-processing unit for detecting positions of eyes from the input facial image and normalizing the size of the facial image, the pre-processing unit calculating deviation values for eye candidate regions, calculating an error rate for the eye candidate regions by assigning a weight to each of the deviation values and summing the deviation values together, and determining whether the error rate for the eye candidate regions is within an allowable range; a facial feature initial position-detecting unit for detecting each initial position for facial features from the normalized facial image; an ASM loading unit for loading the ASMs stored in the memory unit in the normalized facial image so as to correspond to the detected initial position; an ASM adapting unit for adapting the loaded ASMs so as to extract feature points for the facial features; and a caricature-creating unit for creating a three-dimensional polygon face caricature by loading the three-dimensional polygon face basic model from the memory unit and then modifying the loaded three-dimensional polygon face basic model according to coordinate values of the feature points extracted through the ASM adapting unit.