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Mathematical determination of the numerical data corresponding to the color‐matching functions of three real observers using the RGB CIE‐1931 primary system and a new system of unreal primaries X ′ Y ′ Z ′
Author(s) -
Martínez J. A.,
PérezOcón F.,
GarcíaBeltrán A.,
Hita E.
Publication year - 2003
Publication title -
color research and application
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.393
H-Index - 62
eISSN - 1520-6378
pISSN - 0361-2317
DOI - 10.1002/col.10127
Subject(s) - matching (statistics) , rgb color model , transformation (genetics) , matrix (chemical analysis) , computer science , mathematics , algorithm , computer graphics (images) , computer vision , statistics , biochemistry , chemistry , materials science , composite material , gene
In this work, we determine the numerical data of the experimental color‐matching functions (cmf's) of three real observers (JAM, MM, and CF) for two small fields (2°). In previous works, these cmf's have been shown generically and expressed only in a new system of unreal X ′ Y ′ Z ′ primaries. Here, we show results found with these cmf's for the visible spectrum in intervals of 10 nm, from 400 to 700 nm. The data refer to both the RGB CIE‐1931 system and a new system of unreal primaries X ′ Y ′ Z ′, established by a procedure similar to that of the XYZ CIE‐1931 system. This transformation was needed, because negative values appeared in various cmf's when they were referred to the XYZ CIE‐1931 system. Recently, we have called this new system G94 (Granada ‘94). Here, we also describe the method and calculation of the matrix that enables this transformation; in testing six real observers with new cmf’s, we found positive results. We have used these new and experimental cmf's in several preceding works, as have other authors as well, to whom J. A. Martínez privately communicated the corresponding numerical data. The use of these cmf's by all the authors has led to noteworthy results. © 2003 Wiley Periodicals, Inc. Col Res Appl, 28, 89–95, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/col.10127