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Metamer sets.

Graham D Finlayson1, Peter Morovic

  • 1School of Computing Sciences, University of East Anglia, Norwich NR4 7TJ, England.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|May 19, 2005
PubMed
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Metamers are surfaces that appear identical under specific lighting. This study mathematically defines the complete set of natural surface reflectances (metamer sets) that match a given tristimulus, enabling analysis across different illuminants.

Area of Science:

  • Color Science
  • Computer Vision
  • Photometry

Background:

  • Metamers are distinct surfaces that elicit the same color perception under a specific illuminant.
  • Understanding metamer sets is crucial for color reproduction and visual perception research.

Purpose of the Study:

  • To mathematically derive the complete set of physically realizable natural surface reflectances (metamer sets) corresponding to a given tristimulus.
  • To develop a general method for calculating metamer sets applicable to high-dimensional linear reflectance models.

Main Methods:

  • Utilized general linear models of surface reflectances.
  • Incorporated physical constraints such as positivity and boundedness for reflectances.
  • Developed a novel algorithm to solve for the entire metamer set.

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Main Results:

  • Successfully derived a method to compute metamer sets for linear models of arbitrary high dimensions.
  • Demonstrated the calculation of a metamer set and its visual representation as a mismatch region.
  • Illustrated how a single XYZ tristimulus under one illuminant (D65) relates to possible XYZ tristimuli under another illuminant (A).

Conclusions:

  • The developed mathematical framework enables the comprehensive characterization of metamer sets.
  • This approach provides a robust tool for analyzing color constancy and predicting color appearance under varying illumination conditions.