Derivation of linear transformation of tristimulus value matrices by the concept of metameric black

YASUHARU OKAMOTO

doi:10.4992/psycholres1954.29.139

YASUHARU OKAMOTO

Author information

Keywords: metameric black, metamer, tristimulus value, Grassmann's law

JOURNAL FREE ACCESS

1987 Volume 29 Issue 3 Pages 139-141

DOI https://doi.org/10.4992/psycholres1954.29.139

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Published: August 25, 1987 Received: January 27, 1986 Available on J-STAGE: February 24, 2009 Accepted: March 14, 1987 Advance online publication: - Revised: -
Correction information
Date of correction: February 24, 2009 Reason for correction: - Correction: ABSTRACT Details: Wrong : Linearity of translornution between matrices of tristimulus values for color spectral stimuli is usually explained by Grassmann's law. In this paper, the author derived this linear transformation using the concepts of metameric black and metamers.
Right : Linearity of transformation between matrices of tristimulus values for color spectral stimuli is usually explained by Grassmann's law. In this paper, the author derived this linear transformation using the concepts of metameric black and metamers.

Date of correction: February 24, 2009 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Behavioral Science, Faculty of Letters, Kanazawa University

Right :
1) Department of Behavioral Science, Faculty of Letters, kanazawa University

Date of correction: February 24, 2009 Reason for correction: - Correction: CITATION Details: Wrong : Cohen, J. B., & Kappauf, W. E. 1982 Metameric color stimuli, fundamental metamers, and Wyszeeki's metameric blacks. American Journal of Psychology, 95, 537-564.
Cohen, J. B., & Kappauf, W. E. 1985 Color mixture and fundamental metamers: Theory, algebra, geometry, application. American Journal of Psychology, 98, 171-259.
Feynman, R. P., Leighton, R. B., & Sands, M. 1964 The Feynman lectures on physics II: Mainly electromagnetism and matter. Massachusetts, California, London, Sydney, Manila: Addison-Wesley Publishing Company.
Judd, D. B. 1951 Basic correlates of the visual stimulus. In S. S. Steven (Ed.), Handbook of experimental psychology. New York, London: John Wiley and Sons, Inc. Pp. 811-867.
Krantz, D. H. 1975a Color measurement and color theory: I. Representation theorem for Grassmann structures. Journal of Mathematical Psychology, 12, 283-303.
Krantz, D. H. 1975b Color measurement and color theory: II. Opponent-colors theory. Journal of Mathematical Psychology, 12, 304-327.
Wyszecki, G., & Stiles, W. S. 1982 Color science: Concepts and methods, quantitative data and formulae. 2nd ed. Chichester, Brisbane, Toronto, Singapore: John Wiley and Sons, Inc.

Right : Cohen, J. B., & Kappauf, W. E. 1982 Metameric color stimuli, fundamental metamers, and Wyszecki's metameric blacks. American Journal of Psychology, 95, 537-564.
Cohen, J. B., & Kappauf, W. E. 1985 Color mixture and fundamental metamers: Theory, algebra, geometry, application. American Journal of Psychology, 98, 171-259.
Feynman, R. P., Leighton, R. B., & Sands, M. 1964 The Feynman lectures on physics II: Mainly electromagnetism and matter. Massachusetts, California, London, Sydney, Manila: Addison-Wesley Company.
Judd, D. B. 1951 Basic correlates of the visual stimulus. In S. S. Stevens (Ed.), Handbook of experimental psychology. New York, London: John Wiley and Sons, Inc. Pp.811-867.
Krantz, D. H. 1975a Color measurement and color theory: I. Representation theorem for Grassmann structures. Journal of Mathematical Psychology, 12, 283-303.
Krantz, D. H. 1975b Color measurement and color theory: II. Opponent-colors theory. Journal of Mathematical Psychology, 12, 304-327.
Wyszecki, G., & Stiles, W. S. 1982 Color science: Concepts and methods, quantitative data and formulae. 2nd ed. Chichester, Brisbane, Toronto, Singapore: John Wiley and Sons, Inc.

Date of correction: February 24, 2009 Reason for correction: - Correction: PDF FILE Details: -

Date of correction: February 24, 2009 Reason for correction: - Correction: TITLE Details: [in Japanese]

Date of correction: February 24, 2009 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Behavioral Science, Faculty of Letters, kanazawa University

Right :
1) Department of Behavioral Science, Faculty of Letters, Kanazawa University

Date of correction: February 24, 2009 Reason for correction: - Correction: CITATION Details: Wrong : Cohen, J. B., & Kappauf, W. E. 1982 Metameric color stimuli, fundamental metamers, and Wyszecki's metameric blacks. American Journal of Psychology, 95, 537-564.
Cohen, J. B., & Kappauf, W. E. 1985 Color mixture and fundamental metamers: Theory, algebra, geometry, application. American Journal of Psychology, 98, 171-259.
Feynman, R. P., Leighton, R. B., & Sands, M. 1964 The Feynman lectures on physics II: Mainly electromagnetism and matter. Massachusetts, California, London, Sydney, Manila: Addison-Wesley Company.
Judd, D. B. 1951 Basic correlates of the visual stimulus. In S. S. Stevens (Ed.), Handbook of experimental psychology. New York, London: John Wiley and Sons, Inc. Pp.811-867.
Krantz, D. H. 1975a Color measurement and color theory: I. Representation theorem for Grassmann structures. Journal of Mathematical Psychology, 12, 283-303.
Krantz, D. H. 1975b Color measurement and color theory: II. Opponent-colors theory. Journal of Mathematical Psychology, 12, 304-327.
Wyszecki, G., & Stiles, W. S. 1982 Color science: Concepts and methods, quantitative data and formulae. 2nd ed. Chichester, Brisbane, Toronto, Singapore: John Wiley and Sons, Inc.

Right : Cohen, J. B., & Kappauf, W. E. 1982 Metameric color stimuli, fundamental metamers, and Wyszecki's metameric blacks. American Journal of Psychology, 95, 537-564.
Cohen, J. B., & Kappauf, W. E. 1985 Color mixture and fundamental metamers: Theory, algebra, geometry, application. American Journal of Psychology, 98, 171-259.
Feynman, R. P., Leighton, R. B., & Sands, M. 1964 The Feynman lectures on physics II: Mainly electromagnetism and matter. Massachusetts, California, London, Sydney, Manila: Addison-Wesley Publishing Company.
Judd, D. B. 1951 Basic correlates of the visual stimulus. In S. S. Stevens (Ed.), Handbook of experimental psychology. New York, London: John Wiley and Sons, Inc. Pp.811-867.
Krantz, D. H. 1975a Color measurement and color theory: I. Representation theorem for Grassmann structures. Journal of Mathematical Psychology, 12, 283-303.
Krantz, D. H. 1975b Color measurement and color theory: II. Opponent-colors theory. Journal of Mathematical Psychology, 12, 304-327.
Wyszecki, G., & Stiles, W. S. 1982 Color science: Concepts and methods, quantitative data and formulae. 2nd ed. Chichester, Brisbane, Toronto, Singapore: John Wiley and Sons, Inc.

Abstract

Linearity of transformation between matrices of tristimulus values for color spectral stimuli is usually explained by Grassmann's law. In this paper, the author derived this linear transformation using the concepts of metameric black and metamers.

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Correction information

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