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Differential geometry and color perception

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Summary

Combined with well known facts about the affine structure of color space P, a local homogeneity hypothesis implies that P=G/K is equivalent to either R + xR +xR+ or R + SL(2, R)/SO(2). The G-invariant metrics yield in the first case Stiles' generalization of Helmholtz' color metric, in the second a new color metric with respect to which P is not isometric to a Euclidean space. The paper contains an extensive historical introduction.

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  1. Department of Mathematics, Rice University, 77001, Houston, TX, USA

    H. L. Resnikoff

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  1. H. L. Resnikoff
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Resnikoff, H.L. Differential geometry and color perception. J. Math. Biology 1, 97–131 (1974). https://doi.org/10.1007/BF00275798

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  • DOI: https://doi.org/10.1007/BF00275798

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