1. An image processing apparatus for displaying an image of a character, characterized in that the apparatus includes hair texture image storage means for storing a hair texture image representing hair of the character, skin texture image storage means for storing a skin texture image representing skin of the character, display priority storage means for storing display priority given to each pixel constituting the hair texture image, threshold value storage means for storing a threshold value of the display priority, skin texture image drawing means for drawing the skin texture image stored in the skin texture image storage means on a polygon representing the character, and hair texture image drawing means for drawing the hair texture image stored in the hair texture image storage means on the polygon on which the skin texture image has been drawn by the skin texture image drawing means, in response to a result of comparison between the display priority stored in the display priority storage means and the threshold value stored in the threshold value storage means.