Determining the ideal initial printing colorants in electrophotography by the discrete gradation trajectories

The accuracy and repeatability of the color reproduction in print is determined by the fine-tuning of the tone reproduction curves of the basic printing colorants (most often this is CMYK). However, the diversity of manufacturers of printing equipment and dyes introduces an element of significant uncertainty about color uniformity. In addition, the traditional approach does not take into account the effect of hue change when applying the original dyes, as well as the nonlinearity of the hue rise in high- and low-density areas. Determining the color of base colorants that produces the most uniform tone change is an important engineering challenge. Previously, there was no scientific basis for such calculations. We recently proposed an alternative color correction model based on gradation trajectories as an analogue of gradation curves in the CIE Lab space. We have also described the extension of the approach to double color overlay (gradation surfaces) and its analytical and discrete implications. The trajectories are the geodetic lines on gradation surfaces. In this paper, we propose using the gradation trajectories to determine “ideal” or “true” initial printing dyes for electrophotography. To simplify calculations, natural color discretization in digital printing is used. © 2022 John Wiley & Sons, Ltd.Wake Forest University, WFUSupport for this research was provided by the Babcock Graduate School of Management, Wake Forest University; Rutgers Business School – Newark and New Brunswick, Rutgers University; and the Jones Graduate School of Management, Rice University. Helpful comments on earlier versions of this chapter were provided by Jack Brittain, Margaret Duval, Reuben McDaniel, Tim Ruefli, John Slocum, Kathie Sutcliffe, and Doug Wholey