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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 29, Iss. 6 — Jun. 1, 2012
  • pp: 842–847

Variables separation of the spectral BRDF for better understanding color variation in special effect pigment coatings

Alejandro Ferrero, Ana María Rabal, Joaquín Campos, Alicia Pons, and María Luisa Hernanz  »View Author Affiliations

JOSA A, Vol. 29, Issue 6, pp. 842-847 (2012)

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A type of representation of the spectral bidirectional reflectance distribution function (BRDF) is proposed that distinctly separates the spectral variable (wavelength) from the geometrical variables (spherical coordinates of the irradiation and viewing directions). Principal components analysis (PCA) is used in order to decompose the spectral BRDF in decorrelated spectral components, and the weight that they have at every geometrical configuration of irradiation/viewing is established. This method was applied to the spectral BRDF measurement of a special effect pigment sample, and four principal components with relevant variance were identified. These four components are enough to reproduce the great diversity of spectral reflectances observed at different geometrical configurations. Since this representation is able to separate spectral and geometrical variables, it facilitates the interpretation of the color variation of special effect pigments coatings versus the geometrical configuration of irradiation/viewing.

© 2012 Optical Society of America

OCIS Codes
(300.6550) Spectroscopy : Spectroscopy, visible
(330.1710) Vision, color, and visual optics : Color, measurement
(330.1720) Vision, color, and visual optics : Color vision
(290.1483) Scattering : BSDF, BRDF, and BTDF

ToC Category:
Vision, Color, and Visual Optics

Original Manuscript: November 2, 2011
Revised Manuscript: January 25, 2012
Manuscript Accepted: February 21, 2012
Published: May 11, 2012

Virtual Issues
Vol. 7, Iss. 8 Virtual Journal for Biomedical Optics

Alejandro Ferrero, Ana María Rabal, Joaquín Campos, Alicia Pons, and María Luisa Hernanz, "Variables separation of the spectral BRDF for better understanding color variation in special effect pigment coatings," J. Opt. Soc. Am. A 29, 842-847 (2012)

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