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63 exists. This difference, however, is not incorporated into the model. Instead, a peak absorption probability of 50% is assumed in the calculations.
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The Gabor patch was rendered as a 101×101 pixel bitmap representing a cosinusoidal horizontal grating modulated by a 2D circular half-cosine envelope. The half-cosine spanned 7.5 periods of the underlying grating. Each period of the grating was rendered across 12.5 pixels. The spatial frequency of the grating was changed by changing the viewing distance and keeping the rendering of the grating the same. The amplitude of the grating modulation of the background was changed for each distance until the model performed at threshold level.
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The cutoff due to diffraction is 110 cpd for a 4-mm pupil. It is reasonable to expect the 4-mm pupil diameter represented in the current model to exhibit a cutoff higher than that of the 1.5-mm pupil used by Banks but lower than the theoretical diffraction limit due to aberrations.
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note
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Postscript™ assigns an origin within its definition for each letter. Within each x-height size, the origin of the letters was in the same location, trial to trial. Alternative rules for aligning stimulus letters on the screen could influence performance of the ideal observer; for instance, in an extreme case in which the 26 letters were presented at distinct, nonoverlapping regions of the screen, the ideal-observer's performance would be significantly improved. The method used here, however, resulted in substantial overlap between the letter images.
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This presentation time was chosen because it was the shortest reliable presentation time possible with the software and hardware used in the experiment.
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0.5 increase in letter size at fixed contrast and the same threshold level of performance. We used this method to calculate our estimates.
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