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Articles

Predicting Graininess from Granularity

Pages 117-126 | Received 15 Jan 1985, Published online: 16 Nov 2018
 

ABSTRACT

Psychophysical relationships were determined between visual granularity and both intervals and ratios of graininess. Visual granularity can be calculated as the vector sum of appropriately weighted ISO Status A red, green, and blue granularities. Appropriate, unequal weightings are those that provide highest correlation with visual contrast sensitivity as a function of wavelength, which implies that graininess is a singular form of contrast perception regardless of the chromaticity of a sample. Intervals of graininess were found to be linearly related to logarithms of visual granularity and ratios of graininess were found to be a power function, with an exponent of two, of visual granularity. Graininess intervals are then linearly related to logarithms of graininess ratios. A convenient logarithmic relationship is one that uses the dyadic (or binary) base in order to define graininess ‘bits’. The unit of the graininess bit scale corresponds to a factor of two in graininess ratios. Because the exponent of the psychophysical function relating visual granularity to graininess ratios is two, a factor of two in granularity is represented by two units on the scale of graininess bits, which corresponds to a factor of four in ratios of graininess.

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