1. An apparatus for improving a face image in a digital image processor that uses an image sensor to capture an image from incident light, comprising: a digital signal processor comprising: a face recognition unit configured to perform face recognition on the image to detect the face; a skin condition measurement unit configured to measure the skin condition of the detected face, acquire information on a distribution of the rough portion on the detected face, and display a texture of the skin of the detected face; a skin condition correction unit configured to correct the rough portion of the detected face according to the measured skin condition, store at least one reference brightness for skin condition correction, which is calculated through repeated learning, and convert levels of the brightness of the rough portion of the detected face to the stored at least one reference brightness; and a controller configured to control a correction level according to the measured skin condition and to capture the corrected image.