Revisited Yule–Nielsen model without fitting of the n parameter

Serge Mazauric (1) , Mathieu Hébert (2) , Thierry Fournel (2)

1 CPE - École Supérieure de Chimie Physique Électronique de Lyon
2 LHC - Laboratoire Hubert Curien

We introduce a so-called " mean-path-defined Yule–Nielsen " (MPD-YN) model for predicting the color of half-tone prints in reflectance or transmittance modes, inspired by the Yule–Nielsen modified spectral Neugebauer model, where the empirical n value is replaced with a spectral parameter different for each halftone, directly calculated thanks to a closed-form formula, a function of the measured spectral reflectances (or accordingly trans-mittances) of full-tone calibration patches and the surface coverages of the Neugebauer primaries in the halftone. This parameter is based on the average number of internal reflections undergone by light between two half layers of the print, whose expression derives from a flux transfer model between the two half layers. According to the tests carried out in this study with paper printed in inkjet, the predictive performances of the MPD-YN model are rather good and very close to those obtained with the Yule–Nielsen model.

Mots clés: OCIS codes: (0003860) Mathematical methods in physics

Domaines: Optique / photonique

Serge Mazauric, Mathieu Hébert, Thierry Fournel. Revisited Yule–Nielsen model without fitting of the n parameter. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2018, 35 (2), ⟨10.1364/JOSAA.35.000244⟩. ⟨hal-01691409⟩