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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 8 — Aug. 1, 2006
  • pp: 2020–2026

Use of three tristimulus values from surface reflectance spectra to calculate the principal components for reconstructing these spectra by using only three eigenvectors

Fernando Ayala, José F. Echávarri, Pilar Renet, and Angel I. Negueruela  »View Author Affiliations


JOSA A, Vol. 23, Issue 8, pp. 2020-2026 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002020


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Abstract

The division of Color Space into ten zones, corresponding to the ten Munsell hues, allows a good reconstruction of surface reflectance spectra using just three eigenvectors, obtained by applying principal components analysis to the reflectance spectra of the Munsell Atlas specimens (model group), although the basis vectors obtained are different for each subspace. The use of the tristimulus values from each measured spectrum, calculated with the Illuminant D65 and the Standard Observer CIE64 to obtain the principal components necessary to reconstruct the spectrum, allows a very high degree of metamerism to be attained between the two spectra (measured and reconstructed). Furthermore, this method of calculating the principal components allows reconstruction of the spectra of specimens from other sample sets that differ from the model group used in the PCA. The colorimetric accuracy obtained in the new sample sets is similar to that obtained for the model group.

© 2006 Optical Society of America

OCIS Codes
(300.6170) Spectroscopy : Spectra
(300.6550) Spectroscopy : Spectroscopy, visible
(330.1730) Vision, color, and visual optics : Colorimetry

ToC Category:
Spectroscopy

History
Original Manuscript: July 14, 2005
Revised Manuscript: January 8, 2006
Manuscript Accepted: January 22, 2006

Virtual Issues
Vol. 1, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Fernando Ayala, José F. Echávarri, Pilar Renet, and Angel I. Negueruela, "Use of three tristimulus values from surface reflectance spectra to calculate the principal components for reconstructing these spectra by using only three eigenvectors," J. Opt. Soc. Am. A 23, 2020-2026 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-8-2020

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