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quite markedly, as a function of the context in which it is presented. An especially intriguing
example of this phenomenon is the illusion described by Chubb and colleagues (1989), in which
the differential brightness of patterned elements in a target is reduced when the target is
embedded in a pattern that has the same Spatial Frequency but higher Luminance contrast. {Link without Title}
An interpretive explanation of the effect can be found at {Link without Title}

An empirical explanation of the phenomenon illustrated in Figure 1 is as follows (see Lotto and
Purves, 2001 for details). All scenes viewed at the surface of the earth are seen through media
that, to a greater or lesser degree, affect the amount of light that reaches the Eye from the
relevant objects {Link without Title} (Figure 2). Although the relative clarity of the atmosphere minimizes the effects of transmittance in most
circumstances, viewing objects at a distance, nearby objects in smog or fog, or through
semitransparent liquids or solids (e.g., water or glass) all are frequent and consequential factors
in determining the spectral properties of the light that ultimately falls on the Retina and initiates
perception. If, for example, two target surfaces reflect, respectively, 80% and 30% of the incident
light, the return from the more reflective surface in perfectly transmitting conditions will be
greater than the return from the less reflective surface by a ratio of 8:3. If, however, the same
surfaces are viewed through an imperfectly transmitting medium, this ratio is reduced. Although
the interposition of such a medium reduces the amount of light coming from the surfaces in
question proportionally, some light is also added to the luminances attritbutable to the two
surfaces in question. The latter effects occurs because the medium also reflects light to the eye.
Since this reflected light is added equally to any return from a surface viewed through the
medium, the luminance attributable to the less reflective target surface is always increased to a
greater degree than the luminance associated with the more reflective surface. As a result, the
difference in the luminance of the two target surfaces is reduced, in this example from a ratio of
8:3 in perfect transmittance to about 7:5.

In short, an imperfectly transmitting medium, irrespective of its particular properties, always
reduces the luminance differences between differently reflective surfaces seen through the
medium. If perceptions are generated empirically, then to the extent that a stimulus is consistent
with a contribution of imperfect transmittance, this influence will be incorporated into the
Perception of the target. As a result, the apparent brightness difference between differently
luminant elements of a target should decrease when imperfect transmittance is likely to have
contributed to the light being returned from it.

The Chubb stimulus in Figure 1 is consistent with a contribution of transmittance to the target for two reasons. First, the borders between the patterned elements of the surround are continuous with the patterned boundaries in the target; and second, the luminances of the accord with the values that would arise if the pattern of the surround were viewed through an imperfectly transmitting medium. Because a uniform background is relatively ambiguous in these respects, imperfect transmittance is more likely to have contributed to the return from the target. The apparent difference in the brightness of the target elements should increase in any such circumstance, even though the luminance ratios in the stimulus and spatial frequencies of the surround and target remain unchanged.

Thus the Chubb illusion can, like other illusions of brightness, be understood in wholly empirical terms, in this case with the typical consequences of seeing surfaces through imperfectly transmitting media.


REFERENCES


Chubb C, Sperling G, Solomon JA (1989) ''Texture interactions determine perceived contrast''. Proc Natl Acad Sci USA 86:9631-9635

Lotto RB, Purves D (2001) ''An empirical explanation of the Chubb illusion''. J Cogn Neur 13:1-9.

Purves D, Lotto RB (2003) ''Why We See What We Do: An Empirical Theory of Vision''. Sunderland, MA: Sinauer Associates.


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