Light scattering, or the so-called Yule-Nielsen effect, and ink penetration
into the substrate paper play important roles in tone reproduction. We dev
elop a framework in which the influences of both of these effects on the re
flectance and tristimulus values of a halftone sample are investigated. The
properties of the paper and the ink and their bilateral interaction can be
parameterized by the reflectance R-p(0) of the substrate paper, the transm
ittance T-i of the ink layer, the parameter gamma describing the ink penetr
ation, and (p) over bar describing the Yule-Nielsen effect. We derive expli
cit expressions that relate the reflectance of the ink dots (R-i), the pape
r (R-p) and the halftone image (R) as functions of these parameters, We als
o describe the optical dot gain as a function of these parameters. We furth
er demonstrate that ink penetration leads to a decrease in optical dot gain
and that scattering in the paper results in the printed image's being view
ed as more saturated in color. (C) 2001 Optical Society of America. OCIS co
des: 100.7810, 290.7050.