Gl. Rogers, EFFECT OF LIGHT SCATTER ON HALF-TONE COLOR, Journal of the Optical Society of America. A, Optics, image science,and vision., 15(7), 1998, pp. 1813-1821
The scattering of light within paper can affect the color of a halfton
e image. Because of scattering, a photon may enter and emerge from the
paper in different regions of the halftone microstructure. The micros
tructure of a halftone print consists of a number of dots of ink of va
rying color and size. The color of the halftone image is the partitive
mixture of the colors of the microstructure-the colors of the dots, t
he colors of the dot overlaps, and the color of the bare paper. In the
present study the tristimulus values of the color of a halftone print
are calculated in terms of the halftone microstructure. The analysis
includes the effects of the scattering of light within the paper, an e
ffect known as optical dot gain or the Yule-Nielsen effect. The tristi
mulus values are expressed as the trace of the product of two matrices
-one a matrix that expresses the different colors of the microstructur
e that contribute to the partitive mixture and is a function of the in
k transmittances and the paper reflectance and the other a matrix that
expresses the amount of each color that contributes. The relative amo
unt of each color is equal to the probability of the scattering proces
s that gives rise to that color. These probabilities are calculated in
terms of the dot shapes and sizes and in terms of the photon migratio
n in the paper. As a result of the scattering, several ''new'' colors
contribute to the partitive mixture. (C) 1998 Optical Society of Ameri
ca.