1. An image processing apparatus, comprising: a designating section for designating an arbitrary region or an arbitrary position of an image; a specifying section for specifying an object region which is present in the designated region or position, and which can additionally be in a vicinity of the designated region or position, from pixel information in the designated region or position and pixel information which can additionally be in the vicinity of the designated region; a determining section for determining an image region to be cut out from the image, based on the specified object region; and a cutting section for cutting out the determined image region from the image.