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Chromaticity coordinates of frequency-limited functions.

G Buchsbaum, A Gottschalk

    Journal of the Optical Society of America. A, Optics and Image Science
    |August 1, 1984
    PubMed
    Summary

    This study explores the range of colors representable by trichromatic systems. Findings indicate practical colors are either frequency-limited or possess frequency-limited metamers for accurate representation.

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    Area of Science:

    • Color science
    • Photometry
    • Colorimetry

    Background:

    • The Commission Internationale de l'Eclairage (CIE) chromaticity diagram is a standard for representing colors.
    • Trichromatic systems, based on three primary colors, are fundamental to human color perception and display technologies.
    • Understanding the limits of color representation in trichromatic systems is crucial for accurate color reproduction.

    Purpose of the Study:

    • To determine the gamut of coordinates in the CIE chromaticity diagram corresponding to positive frequency-limited functions.
    • To investigate the implications for practical color representation within a trichromatic system (three degrees of freedom).

    Main Methods:

    • Computational analysis of color coordinates within the CIE chromaticity diagram.
    • Application of frequency-limited function principles to colorimetry.
    • Evaluation of color representation based on degrees of freedom.

    Main Results:

    • The study defines the specific range of coordinates achievable by positive frequency-limited functions with three degrees of freedom.
    • Results demonstrate that practical colors fall within this defined gamut.
    • Identified that colors either possess inherent frequency limitations or exhibit metamers with such limitations.

    Conclusions:

    • Practical colors are constrained by frequency limitations within trichromatic systems.
    • The findings support the model that color perception and reproduction can be understood through frequency-limited functions and their metamers.
    • This research provides a theoretical basis for understanding the capabilities and limitations of color displays and color matching.

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