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Determining the Ideal Initial Printing Colorants in Electrophotography by the Discrete Gradation Trajectories
  • Dmitry TARASOV,
  • Oleg Milder
Ural Federal University named after the first President of Russia B N Yeltsin
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Oleg Milder
Ural Federal University named after the first President of Russia B N Yeltsin
Author Profile


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 non-linearity 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.

Peer review status:UNDER REVIEW

18 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
18 Sep 2020Assigned to Editor
18 Sep 2020Submission Checks Completed
09 Oct 2020Reviewer(s) Assigned