1. Mathematics and practice of color space invariants by the example of determining the gray balance for a digital printing system
- Author
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Oleg Milder and Dmitry Tarasov
- Subjects
ANALYTICAL DESCRIPTION ,gradation surfaces ,MATHEMATICAL APPARATUS ,COLOR REPRODUCTION ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,grey balance ,02 engineering and technology ,Color space ,01 natural sciences ,010309 optics ,digital printing ,GRADATION SURFACES ,0103 physical sciences ,lcsh:Information theory ,DIGITAL PRINTING ,lcsh:QC350-467 ,COLOR ,Computer vision ,Electrical and Electronic Engineering ,Mathematics ,ComputingMethodologies_COMPUTERGRAPHICS ,Balance (metaphysics) ,GEOMETRY ,business.industry ,ELECTROPHOTOGRAPHIC PRINTING ,MUTUAL TRANSFORMATIONS ,GREY BALANCE ,021001 nanoscience & nanotechnology ,lcsh:Q350-390 ,Atomic and Molecular Physics, and Optics ,gradation trajectories ,DIFFERENTIAL GEOMETRY ,Computer Science Applications ,DIGITAL PRINTING SYSTEM ,CELL PROLIFERATION ,GRADATION TRAJECTORIES ,PRACTICAL PROBLEMS ,Digital printing ,Artificial intelligence ,PRINTING PRESSES ,0210 nano-technology ,business ,Gray (horse) ,lcsh:Optics. Light - Abstract
In modern printing, a large number of tasks are associated with the mutual transformation of color spaces. In particular, the most common pair of hardware-dependent color spaces is RGB and CMYK, the mutual transformation of colors in which is ambiguous, which creates significant problems in color reproduction. To solve this problem, we propose using color space invariants — gradation trajectories and gradation surfaces, which are analogs of gradation curves for initial col-orants and their binary overlays, constructed in the absolute color space of the CIE Lab. Invariants are introduced on the basis of the mathematical apparatus of the differential geometry of spatial curves and surfaces. Practical application of color space invariants involves certain difficulties associated with their complex analytical description; moreover, for most practical problems, the high accuracy of the model is redundant. For the practical application of invariants, we propose a simpler approach using natural color sampling in digital printing systems. As an example, the procedure for determining the gray balance for an electrophotographic printing press is given. © 2020, Institution of Russian Academy of Sciences. All rights reserved.
- Published
- 2020