1. A image reproducing apparatus comprising: a first cropping device for cropping an image from a first subject image in such a manner that a face-image portion contained in the first subject image will be included in the portion of the image that has been cropped; a first enlarging device for enlarging the image, which has been cropped by said first cropping device, so as to take on the size of the first subject image; a first display control device for controlling a display unit in such a manner that the cropped image enlarged by said first enlarging device is displayed on a display screen; a first control device for controlling said first cropping device, said first enlarging device and said first display control device so as to repeat the image cropping processing, the enlargement processing and the display control processing in such a manner that the cropped image will become smaller than the preceding cropped image, until the cropped image takes on a prescribed size; a second cropping device for cropping an image from a second subject image in such a manner that a face-image portion contained in the second subject image will be included in the portion of the image that has been cropped, this cropping being performed in response to the image cropped by said first cropping device taking on the prescribed size; a second enlarging device for enlarging the image, which has been cropped by said second cropping device, so as to take on the size of the second subject image; a second display control device for controlling the display unit in such a manner that the cropped image enlarged by said second enlarging device is displayed on the display screen; and a second control device for controlling said second cropping device, said second enlarging device and said second display control device so as to repeat the image cropping processing, the enlargement processing and the display control processing in such a manner that the cropped image will become larger than the preceding cropped image.