1. A projector that projects an image based on image information, the projector comprising: an operation reception unit that receives input operation; a selection unit that allows selection of one of a plurality of controlled objects located in correspondence with vertices of a contour of the image based on the image information and sides of the contour; and a correction unit that allows movement of the controlled object selected by using the selection unit within the image based on the input operation and corrects the contour of the image based on the moved controlled object.