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Decomposition of Cohen's matrix R into simpler color invariants.

M H Brill

    The American Journal of Psychology
    |January 1, 1985
    PubMed
    Summary
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    This study decomposes Matrix R tristimulus invariants into simpler volume ratios. These ratios aid in achieving color constancy and illuminant-invariant object-color recognition using artificial photosensors.

    Area of Science:

    • Color Science
    • Computer Vision
    • Photometry

    Background:

    • Matrix R, a set of linear-group tristimulus invariants, was previously defined by Cohen and Friden (1976) and Cohen and Kappauf (1982).
    • Understanding illuminant-invariant properties is crucial for accurate color recognition and color constancy.

    Purpose of the Study:

    • To decompose Matrix R into functions of simpler, linear-group invariant tristimulus volume ratios.
    • To apply these volume ratios to the problems of color constancy and illuminant-invariant object-color recognition.

    Main Methods:

    • Decomposition of Matrix R into tristimulus volume ratios.
    • Application of volume ratios to artificial trichromatic photosensor models.
    • Utilizing a lemma on illuminant-invariance of color triads in chromaticity space for proof.

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    Main Results:

    • Successful decomposition of Matrix R into simpler volume ratio functions.
    • Demonstration of the utility of these volume ratios for color constancy.
    • Validation of their application in illuminant-invariant object-color recognition.

    Conclusions:

    • Tristimulus volume ratios offer a simplified approach to understanding Matrix R invariants.
    • These ratios provide a viable method for achieving color constancy and robust object-color recognition under varying illuminants.