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Title: Basic mathematics of color space invariants
Authors: Milder, O.
Tarasov, D.
Issue Date: 2020
Publisher: World Scientific and Engineering Academy and Society
Citation: Milder, O. Basic mathematics of color space invariants / O. Milder, D. Tarasov. — DOI 10.37394/23206.2020.19.2 // WSEAS Transactions on Mathematics. — 2020. — Iss. 19. — P. 11-16.
Abstract: Color management in printing processes has been traditionally based on an analysis of the behavior of tone reproduction curves (TRC) calculated for the initial color channels. The tone curves, as well as, the color channels, are considered separately. This approach does not take into account the mutual influence of colorants when they overlap. We propose replacing two-dimensional tone reproduction curves with three-dimensional gradation trajectories in the CIE Lab metric space. When two colors overlap, one considers the space between two gradation trajectories that forms a gradation surface. These objects are described using the apparatus of differential geometry of spatial curves and surfaces, respectively, and are also invariants of color spaces. In this paper, we offer their analytical description. © 2020 World Scientific and Engineering Academy and Society. All rights reserved.
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85084390849
PURE ID: 12911127
ISSN: 1109-2769
DOI: 10.37394/23206.2020.19.2
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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