Abstract

When colorimetric specifications of a large number of samples need be computed from spectrophotometric data, an important saving of time can be realized by use of standard IBM punched-card computing equipment. The method employs weighted ordinates, and results for two light sources can be obtained with very little more expenditure of time than for one. The method is described, with detailed instructions for the machine operators.

© 1950 Optical Society of America

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References

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  1. L. F. Knudsen, J. Am. Statistical Assn. 37, 496 (1942).
    [Crossref]
  2. Kelly, Gibson, and Nickerson, J. Opt. Soc. Am. 33, 355 (1943).
    [Crossref]
  3. Granville, Nickerson, and Foss, J. Opt. Soc. Am. 33, 376 (1943).
    [Crossref]
  4. D. B. Judd, J. Opt. Soc. Am. 23, 359 (1933).
    [Crossref]
  5. Committee on Colorimetry, J. Opt. Soc. Am. 34, 633 (1944).

1944 (1)

1943 (2)

1942 (1)

L. F. Knudsen, J. Am. Statistical Assn. 37, 496 (1942).
[Crossref]

1933 (1)

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Figures (1)

Fig. 1
Fig. 1

Permissible errors of reflectances assumed for weighted-ordinate integrations using 10-mμ intervals, of such magnitude that each contributes an error of only 0.0001 to the designated tristimulus value (on the basis of Y=1.0 for perfect white). The assumption of constant reflectances equal to the values at 400 mμ and 700 mμ beyond those limits is shown to be adequate.

Tables (2)

Tables Icon

Table II Progressive digiting method of colorimetric integration.

Equations (4)

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X = T λ x ¯ λ P λ Y = T λ y ¯ λ P λ Z = T λ z ¯ λ P λ ,
x = X / ( X + Y + Z ) ,             y = Y / ( X + Y + Z ) .
X = T λ x ¯ λ P λ Y = T λ y ¯ λ P λ S = T ( x ¯ λ P λ + y ¯ λ P λ + z ¯ λ P λ ) ,
x = X / S ,             y = Y / S .