Abstract

This paper is a supplementary article on counting metamers to one presented earlier in this journal. Whereas in the previous study the basic collection of object-color stimuli contained “jagged” spectral reflectance curves, including a great many that exhibit extreme reflectance variations within small spectral ranges, the present paper makes use of basic collections which contain “smooth” spectral reflectance curves generated by frequency-limited functions. The results obtained in the present study are similar to those obtained previously, particularly when the limiting frequency of the spectral reflectance functions is set at ω = 1/50. Such a limiting frequency leads to spectral reflectance curves of typically four oscillations within the visible spectrum, making them resemble practical spectral reflectance curves.

© 1977 Optical Society of America

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References

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  1. W. S. Stiles and G. W. Wyszecki, J. Opt. Soc. Am. 52, 313 (1962).
  2. See, for example, S. Goldman, Information Theory (Prentice-Hall, Englewood Cliffs, New Jersey, 1953).
  3. Commission Internationale de l'Eclairage (CIE), Colorimetry: Official Recommendations of the International Commission on Illumination, Publ. CIE No. 15 (E -1.3.1), 1971 (Bureau Central de la CIE, 4 Av. du Recteur Poincaré, 75 Paris 16e, France).
  4. See, for example, R. K. Eisenschitz, Matrix Algebra for Physicists (Heinemann, London, 1966), p. 7.

Eisenschitz, R. K.

See, for example, R. K. Eisenschitz, Matrix Algebra for Physicists (Heinemann, London, 1966), p. 7.

Goldman, S.

See, for example, S. Goldman, Information Theory (Prentice-Hall, Englewood Cliffs, New Jersey, 1953).

Stiles, W. S.

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

Wyszecki, G. W.

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

Other (4)

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

See, for example, S. Goldman, Information Theory (Prentice-Hall, Englewood Cliffs, New Jersey, 1953).

Commission Internationale de l'Eclairage (CIE), Colorimetry: Official Recommendations of the International Commission on Illumination, Publ. CIE No. 15 (E -1.3.1), 1971 (Bureau Central de la CIE, 4 Av. du Recteur Poincaré, 75 Paris 16e, France).

See, for example, R. K. Eisenschitz, Matrix Algebra for Physicists (Heinemann, London, 1966), p. 7.

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