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

Corresponding Author:datarasov@yandex.ru

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Oleg Milder
Ural Federal University named after the first President of Russia B N Yeltsin
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Abstract

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.
18 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
18 Sep 2020Submission Checks Completed
18 Sep 2020Assigned to Editor
09 Oct 2020Reviewer(s) Assigned
08 Nov 2021Review(s) Completed, Editorial Evaluation Pending
09 Nov 2021Editorial Decision: Revise Minor
10 Nov 20211st Revision Received
11 Nov 2021Submission Checks Completed
11 Nov 2021Assigned to Editor
11 Nov 2021Reviewer(s) Assigned
17 Nov 2021Review(s) Completed, Editorial Evaluation Pending
04 Feb 2022Editorial Decision: Accept
Oct 2022Published in Mathematical Methods in the Applied Sciences volume 45 issue 15 on pages 8899-8905. 10.1002/mma.8187