Abstract

All of the spectrally different colors that match according to an observer form a metamer ensemble. We present a new method to generate the metamer ensembles for both direct light and reflecting-surface-color problems. The method is based on the properties of particular metameric functions (the simple elements) and is particularly appropriate for treating problems of theoretical limits of metamerism. The method is illustrated with several practical examples and is compared with previously known methods.

© 1976 Optical Society of America

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  1. R. H. Morris, J. Opt. Soc. Am. 37, 669 (1947).
  2. W. L. Brewer and F. R. Holly, Jr., J. Opt. Soc. Am. 38, 858 (1948).
  3. I. Hennicke, Die Farbe 7, 93 (1958).
  4. M. Richter, Die Farbe 7, 163 (1958).
  5. G. Wyszecki, J. Opt. Soc. Am. 48, 451 (1958).
  6. K. Takahama and Y. Nayatani, J. Opt. Soc. Am. 62, 1516 (1972).
  7. G. Wyszecki, J. Opt. Soc. Am. 49, 811 (1959).
  8. W. S. Stiles and G. Wyszecki, J. Opt. Soc. Am. 52, 313 (1962).
  9. G. Wyszecki and W. S. Stiles, Color Science (Wiley, New York, 1967).
  10. E. Allen, J. Opt. Soc. Am. 56, 559 (1966).
  11. E. Allen, Color Eng. 7, 35 (1969).
  12. N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 327 (1975).
  13. N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 1152 (1975).
  14. N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 834 (1975).
  15. Demonstrations presented in the thesis to be submitted by the author at the University P. et M, Curie, Paris 75005, France.
  16. E. Schrödinger, Ann. Phys. (N.Y.) 62, 603 (1920).
  17. D. L. MacAdam, J. Opt. Soc. Am. 25, 249 (1935).

Allen, E.

E. Allen, Color Eng. 7, 35 (1969).

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

Brewer, W. L.

W. L. Brewer and F. R. Holly, Jr., J. Opt. Soc. Am. 38, 858 (1948).

Hennicke, I.

I. Hennicke, Die Farbe 7, 93 (1958).

Holly, Jr., F. R.

W. L. Brewer and F. R. Holly, Jr., J. Opt. Soc. Am. 38, 858 (1948).

MacAdam, D. L.

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

Morris, R. H.

R. H. Morris, J. Opt. Soc. Am. 37, 669 (1947).

Nayatani, Y.

K. Takahama and Y. Nayatani, J. Opt. Soc. Am. 62, 1516 (1972).

Ohta, N.

N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 834 (1975).

N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 327 (1975).

N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 1152 (1975).

Richter, M.

M. Richter, Die Farbe 7, 163 (1958).

Schrödinger, E.

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

Stiles, W. S.

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

W. S. Stiles and G. Wyszecki, J. Opt. Soc. Am. 52, 313 (1962).

Takahama, K.

K. Takahama and Y. Nayatani, J. Opt. Soc. Am. 62, 1516 (1972).

Wyszecki, G.

W. S. Stiles and G. Wyszecki, J. Opt. Soc. Am. 52, 313 (1962).

N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 834 (1975).

G. Wyszecki, J. Opt. Soc. Am. 49, 811 (1959).

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

N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 1152 (1975).

N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 327 (1975).

G. Wyszecki, J. Opt. Soc. Am. 48, 451 (1958).

Other (17)

R. H. Morris, J. Opt. Soc. Am. 37, 669 (1947).

W. L. Brewer and F. R. Holly, Jr., J. Opt. Soc. Am. 38, 858 (1948).

I. Hennicke, Die Farbe 7, 93 (1958).

M. Richter, Die Farbe 7, 163 (1958).

G. Wyszecki, J. Opt. Soc. Am. 48, 451 (1958).

K. Takahama and Y. Nayatani, J. Opt. Soc. Am. 62, 1516 (1972).

G. Wyszecki, J. Opt. Soc. Am. 49, 811 (1959).

W. S. Stiles and G. Wyszecki, J. Opt. Soc. Am. 52, 313 (1962).

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

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

E. Allen, Color Eng. 7, 35 (1969).

N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 327 (1975).

N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 1152 (1975).

N. Ohta and G. Wyszecki, J. Opt. Soc. Am. 65, 834 (1975).

Demonstrations presented in the thesis to be submitted by the author at the University P. et M, Curie, Paris 75005, France.

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

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

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