Light scattering, or the so-called Yule–Nielsen effect, and ink penetration into the substrate paper play important roles in tone reproduction. We develop a framework in which the influences of both of these effects on the reflectance 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<sub>p</sub><sup>0</sup> of the substrate paper, the transmittance T<sub>i</sub> of the ink layer, the parameter γ describing the ink penetration, and <i>p̄</i> describing the Yule–Nielsen effect. We derive explicit expressions that relate the reflectance of the ink dots (R<sub>i</sub>), the paper (R<sub>p</sub>) and the halftone image (<i>R</i>) as functions of these parameters. We also describe the optical dot gain as a function of these parameters. We further 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 viewed as more saturated in color.
© 2001 Optical Society of America
(290.7050) Scattering : Turbid media
Li Yang, Reiner Lenz, and Björn Kruse, "Light scattering and ink penetration effects on tone reproduction," J. Opt. Soc. Am. A 18, 360-366 (2001)