Insight into the solutions of the Neugebauer equations

Marc F. Mahy

doi:10.1117/12.298265

2 January 1998 Insight into the solutions of the Neugebauer equations

Marc F. Mahy

Proceedings Volume 3300, Color Imaging: Device-Independent Color, Color Hardcopy, and Graphic Arts III; (1998) https://doi.org/10.1117/12.298265
Event: Photonics West '98 Electronic Imaging, 1998, San Jose, CA, United States

Abstract

Up till now, the inversion of the Neugebauer model is performed by making use of iterative methods. In this way, at most one colorant combination will be obtained to render a given color. In this publication, however, it will be demonstrated that there are in general multiple solutions for the Neugebauer equations for three colorants. Several interesting characteristics of the printing process are related to the occurrence of multiple solutions. These characteristics are represented for the Neugebauer equations for two colorants and two color values because this model is from a mathematical point of view quite simple. Subsequently the results are extended to the Neugebauer equations for three colorants and three color values. All three characteristics are related to the so called natural boundaries. Natural boundaries are extra surfaces in colorant space that for some color reproduction devices should be taken into account in color gamut calculations. They are especially important if there are multiple colorant combinations inside the colorant domain to render a color. In colorant space these colorant combinations with which a given color can be obtained are laid out symmetrically compared to natural boundaries. If these boundaries are transformed to color space, they divide the color space into several regions in such a way that colors in every region can be obtained with a constant number of colorant combinations.

Citation Download Citation

Marc F. Mahy "Insight into the solutions of the Neugebauer equations", Proc. SPIE 3300, Color Imaging: Device-Independent Color, Color Hardcopy, and Graphic Arts III, (2 January 1998); https://doi.org/10.1117/12.298265

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