1. A digital image processing device, comprising: circuitry configured to: identify a gesture of a user based on data output from a sensor; and control a display to perform a zoom operation on an image displayed by the display based on a degree of a center angle of a curved path corresponding to the entire gesture, the curved path corresponding to a part of a circle, wherein a zoom ratio of the zoom operation corresponds to the degree of the center angle of the curved path, a center of the zoom operation in the image with respect to the display remains constant from before to after the zoom operation, the gesture includes a continuous touch operation of the user including a plurality of distinct touch positions on the display and along the curved path, when a center point of the curved path is at a center point of the image, the zoom operation is an optical zoom, and when the center point of the curved path is displaced from the center point of the image, the zoom operation is a digital zoom.