Why does the illusion work?
The
visual system needs to determine the color of objects in the world. In this
case the problem is to determine the gray shade of the checks on the floor.
Just measuring the light coming from a surface (the luminance) is not enough:
a cast shadow will dim a surface, so that a white surface in shadow may be reflecting
less light than a black surface in full light. The visual system uses several
tricks to determine where the shadows are and how to compensate for them, in
order to determine the shade of gray "paint" that belongs to the surface.
The
first trick is based on local contrast. In shadow or not, a check that is lighter
than its neighboring checks is probably lighter than average, and vice versa.
In the figure, the light check in shadow is surrounded by darker checks. Thus,
even though the check is physically dark, it is light when compared to its neighbors.
The dark checks outside the shadow, conversely, are surrounded by lighter checks,
so they look dark by comparison.
A
second trick is based on the fact that shadows often have soft edges, while
paint boundaries (like the checks) often have sharp edges. The visual system
tends to ignore gradual changes in light level, so that it can determine the
color of the surfaces without being misled by shadows. In this figure, the shadow
looks like a shadow, both because it is fuzzy and because the shadow casting
object is visible.
The
"paintness" of the checks is aided by the form of the "X-junctions" formed by
4 abutting checks. This type of junction is usually a signal that all the edges
should be interpreted as changes in surface color rather than in terms of shadows
or lighting.
As
with many so-called illusions, this effect really demonstrates the success rather
than the failure of the visual system. The visual system is not very good at
being a physical light meter, but that is not its purpose. The important task
is to break the image information down into meaningful components, and thereby
perceive the nature of the objects in view.