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Proceedings Paper

Physical Interpretation of Neugebauer Equations and Applications for Achromatic Synthesis
Author(s): Shinji Kita
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Paper Abstract

As Lambert-Beer's Law in density modulation images, Neugebauer Equations are the basic equation for color reproduction of dot modulation images. Its significance increases with the advance of digital color printing technology. Its' applications have been diversely enlarging to identify the relationship between dot allocation and color gamut', to forecast reproduced color2, and to discuss the achromatic synthesis in principle3, 4. As well known, its principle is that "color is reproduced by averaging additive color mixture of basic 8 colors' area and stimulus determined statistically by the Demichel's law" . The significant assumption here is "the independency of each color area", that is, the coverage and color stimulus of each color area are not influenced by those of neighbor. However, in an actual dot modulation image, optical diffusion and mixture occur within image as known as Yule-Nielsen's effect (Y-N effect). Therefore, the former assumption cannot be adapted on actual images. Since various marking technologies have their own optical diffusion and mixture respectively due to their marking principle and image structure, it seems that an overall comprehension for color reproduction of these images is required from these technologies. And besides, reconstruction of color reproduction theory including density modulation images will be more necessary in future. For this purpose, new theoretical approach adding Y-N effect to Neugebauer equations might be indispensable . From the viewpoint, this paper introduces the full-color image structure models which quantifies optical diffusion and mixture within recorded image and mentions the physical interpretation of Y-N effect in full-color image. Next, by using Neugebauer equations with Y-N effect6, we analyze the achromatic synthesis and propose the theoretical method for black determination applicable to all image formation, through density modulation to completely binary image.

Paper Details

Date Published: 12 June 1990
PDF: 13 pages
Proc. SPIE 1184, Neugebauer Memorial Seminar on Color Reproduction, (12 June 1990); doi: 10.1117/12.963898
Show Author Affiliations
Shinji Kita, Fuji Xerox Co.,Ltd. (Japan)

Published in SPIE Proceedings Vol. 1184:
Neugebauer Memorial Seminar on Color Reproduction
Kazuo Sayanagi, Editor(s)

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