1. An authenticity determination system comprising a genuine product feature point registration apparatus and a matching determination apparatus, said genuine product feature point registration apparatus including: a first correlation value calculation device for calculating a correlation value between a partial image within a genuine product image and a template image; a genuine product feature point extraction device for extracting multiple feature points of the genuine product image where the correlation value calculated by said first correlation value calculation device is equal to or greater than a first threshold value; and a genuine product identification data storage device for storing genuine product identification data that includes the multiple feature points of the genuine product image extracted by said genuine product feature point extraction device, and said matching determination apparatus including: a second correlation value calculation device for calculating a correlation value between a partial image within an authenticity verification product image and a template image; an authenticity verification product feature point extraction device for extracting multiple feature points of the authenticity verification product image where the correlation value calculated by said second correlation value calculation device is equal to or greater than a second threshold value; and a similarity calculation device for calculating degree of similarity between the authenticity verification product image and the genuine product image using a geometric characteristic of the multiple feature points of the authenticity verification product image, which have been extracted by said authenticity verification product feature point extraction device, and a geometric characteristic of the multiple feature points of the genuine product image that have been stored in said genuine product identification data storage device.