Abstract

Spectrally different object colors that match for one illuminant generally do not remain matched when the illuminant is replaced by another. However, all possible colors that match under one illuminant are, with any other illuminant, confined to a region of color space that has a closed boundary. This boundary, called the theoretical chromaticity-mismatch limits of metamers due to a change of illuminant, can be computed by means of a linear-programming technique. The size and shape of the theoretical limits in color space depend on the two illuminants involved and on the color of the metamers. A number of examples are given, and some practical implications of the method are discussed.

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  1. International Commission on Illumination, Colorimetry, Publ. CIE No. 15 (E-1.3.1) (Paris, 1971).
  2. E. Allen, J. Opt. Soc. Am. 56, 559 (1966).
  3. E. Allen, Color Eng. 7, 35 (1967).
  4. N. Ohta, Phot. Sci. Eng. 16, 203 (1972).
  5. N. Ohta, J. Phot. Sci. 20, 149 (1972).
  6. G. Wyszecki and W. S. Stiles, Color Science (Wiley, New York, 1967).
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  9. N. Ohta and H. Urabe, Appl. Opt. 11, 2551 (1972).
  10. D. L. MacAdam, J. Opt. Soc. Am. 25, 249 (1935).
  11. D. L. MacAdam, J. Opt. Soc. Am. 25, 361 (1935).
  12. E. Schrödinger, Ann. Phys. 62, 603 (1920).
  13. International Commission on Illumination, Method of Measuring and Specifying Color-Rendering Properties of Light Sources, Publ. CIE No. 13 (E-1.3.2) (Paris, 1965).
  14. G. Wyszecki, Die Farbe 19, 43 (1970).
  15. Y. Nayatani, Y. Kurioka, and H. Sobagaki, J. Ill. Eng. Inst. Jpn. 54, 461 (1970).

Allen, E.

E. Allen, Color Eng. 7, 35 (1967).

E. Allen, J. Opt. Soc. Am. 56, 559 (1966).

Beveridge, G. S. G.

G. S. G. Beveridge and R. S. Schechter, Optimization: Theory and Practice (McGraw-Hill, New York, 1970).

Kurioka, Y.

Y. Nayatani, Y. Kurioka, and H. Sobagaki, J. Ill. Eng. Inst. Jpn. 54, 461 (1970).

MacAdam, D. L.

D. L. MacAdam, J. Opt. Soc. Am. 25, 361 (1935).

D. L. MacAdam, J. Opt. Soc. Am. 25, 249 (1935).

Nayatani, Y.

Y. Nayatani, Y. Kurioka, and H. Sobagaki, J. Ill. Eng. Inst. Jpn. 54, 461 (1970).

Ohta, N.

N. Ohta, J. Phot. Sci. 20, 149 (1972).

N. Ohta and H. Urabe, Appl. Opt. 11, 2551 (1972).

N. Ohta, Phot. Sci. Eng. 16, 203 (1972).

Rabinowitz, P.

P. Rabinowitz, SIAM Review 10, 121 (1968).

Schechter, R. S.

G. S. G. Beveridge and R. S. Schechter, Optimization: Theory and Practice (McGraw-Hill, New York, 1970).

Schrödinger, E.

E. Schrödinger, Ann. Phys. 62, 603 (1920).

Sobagaki, H.

Y. Nayatani, Y. Kurioka, and H. Sobagaki, J. Ill. Eng. Inst. Jpn. 54, 461 (1970).

Stiles, W. S.

G. Wyszecki and W. S. Stiles, Color Science (Wiley, New York, 1967).

Urabe, H.

N. Ohta and H. Urabe, Appl. Opt. 11, 2551 (1972).

Wyszecki, G.

G. Wyszecki and W. S. Stiles, Color Science (Wiley, New York, 1967).

G. Wyszecki, Die Farbe 19, 43 (1970).

Other (15)

International Commission on Illumination, Colorimetry, Publ. CIE No. 15 (E-1.3.1) (Paris, 1971).

E. Allen, J. Opt. Soc. Am. 56, 559 (1966).

E. Allen, Color Eng. 7, 35 (1967).

N. Ohta, Phot. Sci. Eng. 16, 203 (1972).

N. Ohta, J. Phot. Sci. 20, 149 (1972).

G. Wyszecki and W. S. Stiles, Color Science (Wiley, New York, 1967).

G. S. G. Beveridge and R. S. Schechter, Optimization: Theory and Practice (McGraw-Hill, New York, 1970).

P. Rabinowitz, SIAM Review 10, 121 (1968).

N. Ohta and H. Urabe, Appl. Opt. 11, 2551 (1972).

D. L. MacAdam, J. Opt. Soc. Am. 25, 249 (1935).

D. L. MacAdam, J. Opt. Soc. Am. 25, 361 (1935).

E. Schrödinger, Ann. Phys. 62, 603 (1920).

International Commission on Illumination, Method of Measuring and Specifying Color-Rendering Properties of Light Sources, Publ. CIE No. 13 (E-1.3.2) (Paris, 1965).

G. Wyszecki, Die Farbe 19, 43 (1970).

Y. Nayatani, Y. Kurioka, and H. Sobagaki, J. Ill. Eng. Inst. Jpn. 54, 461 (1970).

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