The Kubelka-Munk color model describes the reflectance of a color sample as a function of: an absorption spectrum, K (λ ), a scattering spectrum, S(λ ), the sample thickness, X, and the reflectance spectrum of the substrate or backing, Rp. For xerographic applications, the existing model has been modified to account for 1) the need to model the reflectance of multi-layer color images, as is the case with many xerographic print samples, 2) the need to apply the color model with correction parameters to images measured using bi-directional measurement geometry, and 3) the variation in toner layer thickness that can occur within a color sample with process xerography. The methods derived to deal with these cases will be outlined as well as results from application of the model to an experimental image set. Color difference (dE*) values between results predicted with the model and measurements made on equivalent samples were used to characterize the accuracy of the model. The average dE* between the color model predictions for single and bi-layer test samples measured with 45/0 bidirectional measurement geometry and actual color measurements on equivalent samples was found to be 1.8 CIELAB units with a corresponding RMS error of 2.1. For single and bi-layer xerographic print samples measured with 45/0 bi-directional measurement geometry, the color difference between color predictions with the model and color measurements of the print samples was found to be 5.1 CIELAB units with a corresponding RMS error of 5.5.
Hoffman, Kristen, "Applications of the Kubelka-Munk color model to xerographic images" (1998). Thesis. Rochester Institute of Technology. Accessed from
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