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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 56, Iss. 6 — Jun. 1, 1966
  • pp: 795–801

Generalization of Tristimulus Coordinates

WILLIAM A. SHAPIRO  »View Author Affiliations


JOSA, Vol. 56, Issue 6, pp. 795-801 (1966)
http://dx.doi.org/10.1364/JOSA.56.000795


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Abstract

The characterization of light by its tristimulus coordinates is briefly reviewed. The vector-transformation properties of these coordinates are shown, and the interpretation of change of reference stimuli as a change of basis in a 3-dimensional vector space is mentioned. The transformation coefficients are then examined as inner products, in a vector space over a basis of the order of the continuum. In this larger system, all possible sets of tristimulus coordinates are associated with a common 3-dimensional subspace. The vector analogy is thereby extended and a generalization is made from tristimulus coordinates to systems based on any number of arbitrary weighting functions. Each such system has an associated subspace, of the appropriate number of dimensions (not necessarily 3), not necessarily significant for human vision. Applications to spectrum characterization and electro-optical detector-response estimation are given.INDEX

Citation
WILLIAM A. SHAPIRO, "Generalization of Tristimulus Coordinates," J. Opt. Soc. Am. 56, 795-801 (1966)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-56-6-795

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