The psychophysical task of discriminating changes in the slope
(- ) of the amplitude
spectrum of a complex image may be similar to detecting differences in the
degree of blur. Tadmor & Tolhurst (1994) proposed that human observers
performed the discrimination by detecting changes in the effective contrast
within single narrow spatial-frequency bands, rather than by detecting changes
in the slope per se, which would involve comparison between different
frequency bands.
In order to distinguish between these two possibilities, a modified
two-alternative forced-choice experiment was developed where observers were
asked to discriminate between a reference image of fixed and a test
image whose spectrum had steeper slope (- -  ). The reference and test images in
any one experiment were constructed from a single digitized photograph of
a natural scene. From trial to trial, different amounts of random variation
were introduced into the overall contrasts of the reference and test images
with the purpose of disrupting the observer's performance. This disruptive
effect should be particularly manifest if the observer is performing a single
frequency-band contrast discrimination and unnoticeable if the observer is
discriminating the change of slope per se.
Our experiment was performed using stimuli made from three different
natural images, at three different reference values of (0·4, 1·0 and 1·4) on two observers.
The magnitudes of the discrimination thresholds depended upon reference and on which original photograph was used to make the stimuli (Tadmor &
Tolhurst, 1994). For reference values of 1·0 (equivalent to sharply
focused pictures) and 1·4 (equivalent to blurred pictures), the effect of
the random contrast variation was not marked: threshold was elevated by less
than 50 % in most cases. For comparison, we examined how much the random contrast
variations would disrupt the observer's ability to discriminate changes in
Michelson contrast of simple sinusoidal gratings, whose contrast was similar
to that in the complex images. As expected, performance was badly affected,
thresholds being elevated by a factor of up to 5. These results imply that
the observers may not be detecting changes in contrast in just one narrow
spatial-frequency band when they discriminate changes in the slope of the
amplitude spectrum. Rather, they must compare contrast between bands.
At a reference value of 0·4 (edge-enhanced or whitened images), threshold was elevated
by the random contrast variation by a factor of up to 4, and it may be that
the observer's strategy is different for these images.
Supported by Fight for Sight.
Reference
Tadmor, Y. & Tolhurst, D.J. (1994). Vision Res. 34,
541-554.
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