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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

  • Vol. 22, Iss. 5 — May. 1, 2005
  • pp: 810–819

Metamer sets

Graham D. Finlayson and Peter Morovic  »View Author Affiliations


JOSA A, Vol. 22, Issue 5, pp. 810-819 (2005)
http://dx.doi.org/10.1364/JOSAA.22.000810


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Abstract

If two different surfaces look the same when viewed under a particular light source, then they are called metamers. We show mathematically how one can solve for the whole set of physically realizable natural surface reflectances that relate to the same tristimulus, the metamer set. Our analysis is based on very general linear models of reflectances, coupled with constraints that reflectances should adhere to (e.g., positivity and boundedness). We show that we can recover metamer sets for linear models of an arbitrary high dimension. To illustrate our new algorithm, we provide an example of calculating the metamer set and its manifestation as a mismatch region. Given a single X Y Z observed under illuminant D65, we can examine the set of X Y Z s that would be possible under illuminant A.

© 2005 Optical Society of America

OCIS Codes
(330.0330) Vision, color, and visual optics : Vision, color, and visual optics
(330.1710) Vision, color, and visual optics : Color, measurement
(330.1720) Vision, color, and visual optics : Color vision
(330.6180) Vision, color, and visual optics : Spectral discrimination
(330.7310) Vision, color, and visual optics : Vision

History
Original Manuscript: January 29, 2004
Revised Manuscript: July 26, 2004
Manuscript Accepted: September 21, 2004
Published: May 1, 2005

Citation
Graham D. Finlayson and Peter Morovic, "Metamer sets," J. Opt. Soc. Am. A 22, 810-819 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-5-810

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