A projector includes an illuminator; a first image formation unit including a first optical unit having a light modulation element that modulates the light from the illuminator, the first image formation unit using the first optical unit to output first image light; a second image formation unit including a second optical unit having a light modulation element that modulates the light from the illuminator, the second image formation unit using the second optical unit to output second image light; a polarization combining system that combines the first image light outputted from the first image formation unit and the second image light outputted from the second image formation unit; a projection system that projects the image light combined by the polarization combining system; projection position adjusters that optically adjust the projection positions of the light modulation elements on a projection surface; and a pixel value generator that generates the pixel value for each pixel contained in the light modulation elements, the projection positions of which have been adjusted by the projection position adjusters, based on the projection position of the light from the pixel.