Abstract

The requirements for a photographic system to reproduce the chromaticities of selected colors can be described by a set of equations. These equations relate the amounts of dye needed in the reproduction to the exposure densities of the original colors. These equations have been called color-reproduction equations by Brewer, Hanson, and Horton. These color-reproduction equations have been computed for a negative-positive color system.

The equations state the requirements placed on a color system if it is to reproduce the chromaticities of the original. A similar set of color-reproduction equations can be computed which describe the actual performance of the color system. These actual color-reproduction equations are established by measuring the actual amount of dye produced in a process when reproducing a color chart. These amounts of dye are related to the exposure densities of the original colors. The required and actual color-reproduction equations for a negative-positive color system are compared. The similarity between these sets of equations show how well a modern negative-positive color system fulfills conditions of good color reproduction.

© 1955 Optical Society of America

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References

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  1. Evans, Hanson, and Brewer, Principles of Color Photography (John Wiley and Sons, Inc., New York, 1953), p. 429.
  2. Brewer, Hanson, and Horton, J. Opt. Soc. Am. 39, 924–927 (1949).
    [Crossref]
  3. K. Meyer and H. Ulbricht, Z. wiss. Phot. 46, 72 (1951).
  4. W. Behrendt, Z. Naturforsch. 6a, 382 (1951).
  5. W. T. Hanson and C. A. Horton, J. Opt. Soc. Am. 42, 663–669 (1952).
    [Crossref]
  6. W. T. Hanson, J. Opt. Soc. Am. 40, 166–171 (1950).
    [Crossref]
  7. Null, Lozier, and Joy, J. Soc. Motion Picture Engrs. 38, 221 (1942).

1952 (1)

1951 (2)

K. Meyer and H. Ulbricht, Z. wiss. Phot. 46, 72 (1951).

W. Behrendt, Z. Naturforsch. 6a, 382 (1951).

1950 (1)

1949 (1)

1942 (1)

Null, Lozier, and Joy, J. Soc. Motion Picture Engrs. 38, 221 (1942).

Behrendt, W.

W. Behrendt, Z. Naturforsch. 6a, 382 (1951).

Brewer,

Brewer, Hanson, and Horton, J. Opt. Soc. Am. 39, 924–927 (1949).
[Crossref]

Evans, Hanson, and Brewer, Principles of Color Photography (John Wiley and Sons, Inc., New York, 1953), p. 429.

Evans,

Evans, Hanson, and Brewer, Principles of Color Photography (John Wiley and Sons, Inc., New York, 1953), p. 429.

Hanson,

Brewer, Hanson, and Horton, J. Opt. Soc. Am. 39, 924–927 (1949).
[Crossref]

Evans, Hanson, and Brewer, Principles of Color Photography (John Wiley and Sons, Inc., New York, 1953), p. 429.

Hanson, W. T.

Horton,

Horton, C. A.

Joy,

Null, Lozier, and Joy, J. Soc. Motion Picture Engrs. 38, 221 (1942).

Lozier,

Null, Lozier, and Joy, J. Soc. Motion Picture Engrs. 38, 221 (1942).

Meyer, K.

K. Meyer and H. Ulbricht, Z. wiss. Phot. 46, 72 (1951).

Null,

Null, Lozier, and Joy, J. Soc. Motion Picture Engrs. 38, 221 (1942).

Ulbricht, H.

K. Meyer and H. Ulbricht, Z. wiss. Phot. 46, 72 (1951).

J. Opt. Soc. Am. (3)

J. Soc. Motion Picture Engrs. (1)

Null, Lozier, and Joy, J. Soc. Motion Picture Engrs. 38, 221 (1942).

Z. Naturforsch. (1)

W. Behrendt, Z. Naturforsch. 6a, 382 (1951).

Z. wiss. Phot. (1)

K. Meyer and H. Ulbricht, Z. wiss. Phot. 46, 72 (1951).

Other (1)

Evans, Hanson, and Brewer, Principles of Color Photography (John Wiley and Sons, Inc., New York, 1953), p. 429.

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Figures (9)

Fig. 1
Fig. 1

Chromaticities of color-chart patches illuminated by a motion-picture arc source. Open circles show the chromaticities of the original; solid circles show the chromaticities of the dye mixtures predicted by the required color-reproduction equations.

Fig. 2
Fig. 2

Spectral reflectance curves of four of the color patches on the color chart.

Fig. 3
Fig. 3

Spectral reflectance curves of the four neutral patches on the color chart.

Fig. 4
Fig. 4

Spectral reflectance curves of four of the color patches on the color chart.

Fig. 5
Fig. 5

Spectral sensitivities of the negative film when used with 3200°K illumination.

Fig. 6
Fig. 6

Spectral densities of the print-film dyes and the neutral formed by their mixture.

Fig. 7
Fig. 7

Brightness reproduction predicted by the required color-reproduction equations.

Fig. 8
Fig. 8

Chromaticities of the patches of the color chart and the reproduction of these patches predicted by the actual color-reproduction equations.

Fig. 9
Fig. 9

Brightness reproduction predicted by the actual color-reproduction equations.

Tables (1)

Tables Icon

Table I Standard deviation of predicted densities.

Equations (7)

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c = γ c r D r + γ c g D g + γ c b D b , m = γ m r D r + γ m g D g + γ m b D b , y = γ y r D r + γ y g D g + γ y b             b ,
c = 1.168 D r - 0.223 D g + 0.142 D b . m = - 0.251 D r + 1.579 D g - 0.312 D b . y = - 0.087 D r - 0.406 D g + 1.498 D b .
γ c r + γ c g + γ c b = 1.
c = 1.866 D r - 0.783 D g - 0.070 D b + 0.121 , m = - 0.649 D r + 2.151 D g - 0.487 D b - 0.019 , y = - 0.530 D r - 0.326 D g + 1.895 D b - 0.098.
c = 1.078 D r + 0.080 D g - 0.003 D b , m = - 0.507 D r + 1.551 D g + 0.108 D b , y = - 0.625 D r - 0.379 D g + 2.314 D b .
c = 1.087 D n , m = 1.016 D n , y = 1.005 D n .
c = 1.155 D n , m = 1.152 D n , y = 1.310 D n .