1. An image reproducing apparatus comprising: a first cropping device, as executed by a processor of a computer, 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 a 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 a 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 cropping the image, the enlarging the image, and the controlling the display unit in such a manner that the cropped image will become smaller than a 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 a portion of the image that has been cropped, said cropping the image from the second subject image 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 a 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 cropping the image from the second subject image, the enlarging the image of the second enlarging device and the controlling the display unit of the second control device in such a manner that the cropped image will become larger than the preceding cropped image, wherein said first display control device and said second display control device control the display unit in such a manner that a first enlarged image enlarged by said first enlarging device and a second enlarged image enlarged by said second enlarging device are combined and displayed on the display screen, wherein said first display control device combines and displays the first and second enlarged images in such a manner that as a size of the cropped image cropped by said first cropping device decreases, a proportion of the first enlarged image combined decreases and a proportion of the second enlarged image combined increases, and wherein said second display control device combines and displays the first and second enlarged images in such a manner that as a size of the cropped image cropped by said second cropping device increases, the proportion of the first enlarged image combined decreases and the proportion of the second enlarged image combined increases.