Definition
The Clapper-Yule model is a physically based model describing the reflection of spectral light fluxes by a printed surface and enabling the prediction of halftone prints on diffusing substrates [1]. The model relies on a closed-form equation obtained by describing the multiple transfers of light between the substrate and the print-air interface through the inks. Physical parameters are attached to the inks, the diffusing support, and the surface. The model assumes that the lateral propagation distance of light within the substrate, due to scattering, is much larger than the halftone screen period. Most photons therefore cross different ink dots while traveling in the print. The reflections and transmissions of light at the surface are explicitly taken into account depending on the print’s refractive index, as well as the considered illumination and measuring geometries.
The Clapper-Yule Equation
The Clapper-Yule equation derives from the description of multiple reflections...
This is a preview of subscription content, log in via an institution.
References
Clapper, F.R., Yule, J.A.C.: The effect of multiple internal reflections on the densities of halftone prints on paper. J. Opt. Soc. Am. 43, 600–603 (1953)
Judd, D.B.: Fresnel reflection of diffusely incident light. J. Res. Natl. Bur. Stand. 29, 329–332 (1942)
Rossier, R., Bugnon, T., Hersch, R.D.: Introducing ink spreading within the cellular Yule-Nielsen modified Neugebauer model. In: IS&T 18th Color Imaging Conference, San Antonio, TX, USA, pp. 295–300 (2010)
Hersch, R.D., Emmel, P., Crété, F., Collaud, F.: Spectral reflection and dot surface prediction models for color halftone prints. J. Electron. Imaging 14, 33001–33012 (2005)
Hersch, R.D., Brichon, M., Bugnon, T., Amrhyn, P., Crété, F., Mourad, S., Janser, H., Jiang, Y., Riepenhoff, M.: Deducing ink thickness variations by a spectral prediction model. Color. Res. Appl. 34, 432–442 (2009)
Hébert, M., Hersch, R.D.: Reflectance and transmittance model for recto-verso halftone prints: spectral predictions with multi-ink halftones. J. Opt. Soc. Am. A 26, 356–364 (2009)
Mazauric, S., Hébert, M., Simonot, L., Fournel, T.: Two-flux transfer matrix model for predicting the reflectance and transmittance of duplex halftone prints. J. Opt. Soc. Am. A 31, 2775–2788 (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer Science+Business Media New York
About this entry
Cite this entry
Hébert, M. (2015). Clapper-Yule Model. In: Luo, R. (eds) Encyclopedia of Color Science and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27851-8_49-6
Download citation
DOI: https://doi.org/10.1007/978-3-642-27851-8_49-6
Received:
Accepted:
Published:
Publisher Name: Springer, Berlin, Heidelberg
Online ISBN: 978-3-642-27851-8
eBook Packages: Springer Reference Physics and AstronomyReference Module Physical and Materials ScienceReference Module Chemistry, Materials and Physics