1. An object display device overlaying and displaying an object on an image in real space, the object display device comprising: circuitry configured to acquire an image in real space; extract a noise distribution feature from the entire image in real space, the noise distribution being computed based on a comparison of a feature of a pixel in the entire image to a feature of a second pixel that is a neighbor of the pixel in the entire image; perform correction processing on an image of the object based on the extracted noise distribution feature; and display an overlaid image in which the image of the object subjected to correction processing is overlaid on the image in real space.