17Jul 2017

THRESHOLDS OF COLOR DIFFERENTIATION, AND THE EINSTEIN EQUATION.

  • PovolzhskiyState University of Telecommunications and Informatics, LeoTolstoystreet 23, Samara city 443010, Russia.
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The paper discusses on the development of strictly equal-contrast color scale. It is known that in the CIE 1931 (x, y) thresholds for color discrimination are represented by ellipses, which are used to characterize the equal-contrast of a color system. Different color systems are described by different values of ellipticity (the size of the MacAdam ellipses). The paper proposes a new approach to the creation of strictly equal-contrast color systems based on similar concepts of ?the color horizon? in the colorimetry and ?the event horizon? in general relativity (GR). It is proposed to use an equation similar to Einstein?s field equations for the transformation of ellipses in a two-dimensional color pattern into circles and ellipsoids of rotation in three-dimensional model ? in equal diameter balls. It is introduced a concept of a curvature of a color discrimination space and a tensor of a ?color power?. It is obtained a matrix equation from which the coefficients of transformation into strictly equal-contrast color system are determined.


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[L. D. Lozhkin, О. V. Osipov, A. A. Voronoy and A. A. Soldatov. (2017); THRESHOLDS OF COLOR DIFFERENTIATION, AND THE EINSTEIN EQUATION. Int. J. of Adv. Res. 5 (Jul). 510-516] (ISSN 2320-5407). www.journalijar.com


Lozhkin Leonid Didimovich
PovolzhskiyState University of Telecommunications and Informatics, LeoTolstoy, street 23, Samara city 443010, Russia,Department of fundamentals of design and technology of radio systems, Professor

DOI:


Article DOI: 10.21474/IJAR01/4746      
DOI URL: http://dx.doi.org/10.21474/IJAR01/4746