1. A projector that projects an image on the basis of image signals corresponding to sub-pixels which form one pixel, the projector comprising: a shift amount storage section that stores shift amounts of display positions of display sub-pixels corresponding to the sub-pixels which form a display pixel with respect to a predetermined reference position within a projected image; an image signal correcting section that corrects image signals corresponding to sub-pixels, which form each pixel of an input image, on the basis of the shift amounts stored in the shift amount storage section; and a projecting section that projects the image on the basis of image signals corresponding to the sub-pixels corrected by the image signal correcting section, wherein the image signal correcting section corrects image signals in which dummy image signals corresponding to dummy sub-pixels, which are provided outside sub-pixels in an endmost portion of the input image, are added to input image signals of the sub-pixels.