The curvature also varies with the angle subtended by the image and the
portion of the retina upon which the image falls. If the image were too
long, although all the processes which produce curvature be present,
yet the front of the image would still appear vertical, because of the
fact that each point in this long line would not derive reënforcement
sensibly greater than that of the neighboring points. The best one
could expect would be that these long figures should have their ends
rounded off, which is usually the case. Most of the images which
Professor Hess used in his experiments were too long to appear curved.
All the images whose curvature we measured did not subtend an angle
greater than 1° 10´, and were all seen on the fovea.
An image which subtends an angle of more than about 2° will hardly
appear curved when it passes over the fovea.
We were sometimes able to see the curvature reversed. This happened in
my own case about once in a hundred times, usually when my eyes were
fatigued by the repeated passing of the moving light back and forth
over the same portion of the retina. With other observers it occurred
more often.
Slight vertical differences in fixation would cause the central part
of the path taken by the moving light to become more fatigued than the
edges and so to respond more slowly to the stimulation and reverse
the curvature. It may be that some brain process which has to do with
the apperception of the form and movement of visual objects becomes
fatigued or does not always function properly, and so the curvature
of the image may sometimes appear reversed. At any rate the more
usual cases are those in which the convexity is present. The others,
owing to the number of factors involved, and the vast majority of the
opposite cases, may be regarded as due to temporary defects in the
psycho-physical mechanism, which when properly working would give the
more usual result.
QUANTITATIVE EXPERIMENTS
The object of the following experiments was to measure the amount
of curvature produced by differing degrees of intensity of light at
different speeds. An oblong figure was employed one fourth inch wide
and two inches long. As has been mentioned, two vertical wires were
stretched across the path in which the light moved. As the light swung
by, it was attempted to get the wires at such a distance from one
another that when one appeared tangent to the curve at the front of
the figure the other would seem to cross the image at the point of
intersection of the curve with the rest of the figure, as indicated in
the diagram. (Plate IV, Fig. 9.)
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