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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 11 — Nov. 1, 2013
  • pp: 2444–2454

Link functions and Matérn kernel in the estimation of reflectance spectra from RGB responses

Ville Heikkinen, Arash Mirhashemi, and Juha Alho  »View Author Affiliations

JOSA A, Vol. 30, Issue 11, pp. 2444-2454 (2013)

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We evaluate three link functions (square root, logit, and copula) and Matérn kernel in the kernel-based estimation of reflectance spectra of the Munsell Matte collection in the 400–700 nm region. We estimate reflectance spectra from RGB camera responses in case of real and simulated responses and show that a combination of link function and a kernel regression model with a Matérn kernel decreases spectral errors when compared to a Gaussian mixture model or kernel regression with the Gaussian kernel. Matérn kernel produces performance similar to the thin plate spline model, but does not require a parametric polynomial part in the model.

© 2013 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(150.0150) Machine vision : Machine vision
(330.1710) Vision, color, and visual optics : Color, measurement

ToC Category:
Image Processing

Original Manuscript: April 25, 2013
Revised Manuscript: July 25, 2013
Manuscript Accepted: October 4, 2013
Published: October 30, 2013

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

Ville Heikkinen, Arash Mirhashemi, and Juha Alho, "Link functions and Matérn kernel in the estimation of reflectance spectra from RGB responses," J. Opt. Soc. Am. A 30, 2444-2454 (2013)

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