Why white dots appear larger than equal size black dots: How Galileo's visual illusion works in the mind's eye

The work was done by Jens Kremkow and collaborators in the laboratories of Jose Manuel Alonso and Qasim Zaidi at the State University of New York College of Optometry. It will be published on February 10 of 2014 in the Proceedings of the National Academy of Sciences.

Galileo was puzzled by the fact that the appearance of the planets depended on whether one looked with the naked eye or with a telescope. Viewed directly, planets seemed "expanded" and had "a radiant crown," which made Venus looked eight to ten times larger than Jupiter even though Jupiter was four times larger. Though Galileo realized this size illusion was not created by the object -- but by his eyes -- he did not understand why or how.

He mused, "Either because their light is refracted in the moisture that covers the pupil, or because it is reflected from the edges of the eyelids and these reflected rays are diffused over the pupil, or for some other reason." Generations of scientists following Galileo continued to assume the illusion was caused by blur or similar optical effects. However, though blur can distort size, it does not explain why Venus looks larger than Jupiter with the naked eye. Hermann von Helmholtz -- the venerable 19th Century German physician-physicist -- was the first to realize that something else was needed to explain the illusion, as he described in his Treatise on Physiological Optics.

Only now, with Kremkow and colleagues' new study, has science finally zoomed in and illuminated the scope of the problem. It's a feature of how we see everything, no less. By examining the responses of neurons in the visual system of the brain -- to both light stimuli and dark stimuli -- the neuroscientists discovered that, whereas dark stimuli result in a faithful neural response that accurately represents their size, light stimuli on the contrary result in non-linear and exaggerated responses that make the stimulus look larger. So white spots on a black background look bigger than same-sized black spots on white background, and Galileo's glowing stellar objects are not really as big as they might appear to the unaided eye.

This effect is responsible for how we see everything from textures and faces -- based on their dark parts in bright daylight -- to why it is easier to read this very page with black-on-white lettering, rather than white-on-black (a well known, and until now, unexplained phenomenon). By tracing these effects as a function of the way neurons are laid out and interconnected in the retina and brain, the authors found that the illusion is potentially derived from the very origin of vision -- in the photoreceptors of the eye themselves.