1. An information processing apparatus comprising: circuitry configured to detect an operation of a subject, the operation being made upon a projection image; and execute processing so that the projection image tracks a movement of the subject in a case that a state of the subject is a predetermined state in a region of the projected image and then the state of the subject is continued, based on a result of detecting, wherein display of the projection image is changed in relation to a duration of the operation of the subject having been made upon the projection image.