1. A design system for designing shapes of eyeglasses comprising: means for inputting an image of a face of a person as image data to be processed by a computer; means for effecting image processing on said image data so that color compensation and profile emphasis are effected; means for extracting feature points which represent a feature of the profile of the face and features of hair, eyebrows, eyes, nose and mouth of the person; wherein the feature points which represent features of the profile of the face include points predetermined on the hairline, on the contour line from the forehead to the cheek, and on the chin, the feature points which represent features of the eyebrows include points predetermined at the inner end of the eyebrow, at the top of the eyebrow, at the tail or outer end of the eyebrow, and on a lower edge of the eyebrow, the feature points which represent features of the eyes include points predetermined at the center of the pupil, on the profile line of the iris, and on the eyelid, the feature points which represent features of the nose include points predetermined at the tip of the nose and at the peaks of the wings of the nose, the feature points which represent features of the lips include points predetermined at the depressed center portion of the upper lip, at both ends of the lips, and at the lower end of the lower lip; means for setting a plurality of horizontal, vertical and inclined auxiliary lines and auxiliary points on said auxiliary lines, based on said feature points, and means for determining anchor points of a Bezier curve which defines the shapes of lenses and a front frame of eyeglasses.