1. An image processing device comprising: a component separating unit that separates an image, which is represented by image data obtained by imaging a scene, into component images for a plurality of color components; a distribution modifying unit that sets one of the component images for a predetermined color component as a reference component image, that sets at least one component image other than the reference component image as at least one non-reference component image, and that modifies distribution of pixels for brightness levels in each non-reference component image based on distribution of pixels for brightness levels in the reference component image; and a component combining unit that combines together the reference component image and the at least one non-reference component image modified by the distribution modifying unit.