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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 49, Iss. 8 — Aug. 1, 1959
  • pp: 811–813

A Measure for the Total Difference of Two Sets of Color-Mixture Functions

GÜNTER WYSZECKI  »View Author Affiliations

JOSA, Vol. 49, Issue 8, pp. 811-813 (1959)

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Using a large number of specially selected imaginary object colors which are metameric with respect to one set of color-mixture functions, the spatial distribution of these colors with respect to the other set of color-mixture functions provides an illustrative means of measuring the total difference of the two sets of color-mixture functions. The spatial distribution follows a normal trivariate distribution law which allows the computation of an ellipsoid that is expected to contain 95% of all theoretically and practically possible object colors of the same class used to calculate that ellipsoid. A numerical example involving the color-mixture functions of the 1931 CIE standard observer and the color-mixture functions derived from the Stiles 10° pilot data demonstrates the theory.

GÜNTER WYSZECKI, "A Measure for the Total Difference of Two Sets of Color-Mixture Functions," J. Opt. Soc. Am. 49, 811-813 (1959)

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  1. E. Schrödinger, Ann. Physik 62, 603 (1920).
  2. S. Rösch, Fortschr. Mineral. Krist. Petrog. 13, 143 (1929).
  3. D. L. MacAdam, J. Opt. Soc. Am. 25, 249 (1935).
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  5. G. Wyszecki, J. Opt. Soc. Am. 48, 451 (1958).
  6. W. S. Stiles, Optica Acta (Paris) 2, 168 (1955).
  7. Tables provided by D. B. Judd, National Bureau of Standards, Washington, D. C.

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