Publishing house Radiotekhnika

"Publishing house Radiotekhnika":
scientific and technical literature.
Books and journals of publishing houses: IPRZHR, RS-PRESS, SCIENCE-PRESS

Тел.: +7 (495) 625-9241


Strictly uniform three-dimensional color system


L.D. Lozhkin – Dr. Sc. (Eng.), Associate Professor, Head of Laboratory, Volga State University of Telecommunications and Informatics (Samara) E-mail: V.A. Neganov – Dr. Sc. (Phys.-Math.), Professor, Head of Department, Volga State University of Telecommunications and Informatics (Samara) E-mail:

In determining the difference between two or more colors, which is a matter of the highest colorimetry, and issues of color perception by human, it is very important to have uniform color system, in which the geometric difference of color differences would not depend on comparable colors (chromaticity). Currently used color system (CIE 1931 (x, y, z), CIE 1960 (u, v, w), the CIE 1976 (L, a, b), and several others) did not have a uniform scale, although the last of these systems are called uniform color systems. In this regard, the development of strictly uniform color system is a very urgent task, deciding this problem can allow creation of etalon colors, clarify the mechanisms of colorperception by eyes, to normalize distortiom margin of color rendering and color distortion chromatogenic systems (hardware). This article dedicated to creation of strictly uniform color systems. Attempts to develop strictly uniform color systems done by different authors, such as Mac Adam, Stiles, Wyszecki and others, and have not been successful, although results have been achieved. Obviously, the creation of such static system is impossible. However, in the paper the results of development of strictly uniform color systems are shown. The main difference between the obtained strictly uniform color systems lies in the fact that the proposed system is a dynamic system, i.e. the color system is represented in the moving coordinate system using Riemann geometry. In this system, the value of color difference between two colors is determined by the length of the curved segment connecting the two points, with the coordinates of comparated colors located on the spheres of different radiuses.


  1. Dzhadd D., Vyshecki G. Cvet v nauke i tekhnike / Per. s angl. pod red. L.F. Artjushina. M. 1978. 428 c.
  2. Novakovskijj S.V. Cvetnoe televidenie. Osnovy teorii cvetovosproizvedenija. M.: Svjaz. 1975. S. 376.
  3. Azzam R., Bashara N. EHllipsometrija i poljarizovannyjj svet / Per. s angl. pod red. chl.-korr. AN SSSR A.V. Rzhanova i d.f.-m.n. K.K. Svitasheva. M.: Mir. 1981. 594 s.
  4. MacAdam D.L. Color essays // Josa. 1975. V. 65. № 5. P. 463−485.
  5. Jimenez J.R., Hita E., Romero J., Jimenez L. Scalar curvature of space as a source of information of new uniformity aspects concerning to color representation systems // J. Optics (Paris). 1993. V. 24. № 6. P. 243−249.
  6. Lozhkin L.D. Differencialnaja kolorimetrija / Pod obshhejj red. d.t.n., prof. A.I. Tjazheva. Samara. 2010. 320 s.
  7. Albert Einstein. Die Groundage der allgemeinen Relativitätstheorie // Annalen der Physic. 1916. 354 (7): 769−822. (Russkijj perevod v sb. «Albert EHjjnshtejjn i teorija gravitacii: Sb. statejj pod red. E. Kurganskogo». M.: Mir. 1979. 592. 146–196 s).
  8. Fok V.A. Teorija prostranstva, vremeni i tjagotenija. M.: GITTL. 1955. 504 s.


June 24, 2020
May 29, 2020

© Издательство «РАДИОТЕХНИКА», 2004-2017            Тел.: (495) 625-9241                   Designed by [SWAP]Studio