Optimal estimation of spectral reflectance based on metamerism

Tzren Ru Chou*, Wei Ju Lin

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)


In this paper, we proposed an accurate estimation method for spectral reflectance of objects captured in an image. The spectral reflectance is simply modeled by a linear combination of three basic spectrums of R, G, and B colors respectively, named as spectral reflective bases of objects, which are acquired by solving a linear system based on the principle of color metamerism. Some experiments were performed to evaluate the accuracy of the estimated spectral reflectance of objects. The average mean square error of 24 colors in Macbeth checker between we simulated and the measured is 0.0866, and the maximum is 0.310. In addition, the average color difference of the 24 colors is less than 1.5 under the D65 illuminant. There are 13 colors having their color difference values less than 1, and other 8 colors having the values during the range of 1 and 2. Only three colors are relatively larger, with the differences of 2.558, 4.130 and 2.569, from the colors of No. 2, No. 13, and No. 18 in Macbeth checker respectively. Furthermore, the computational cost of this spectral estimation is very low and suitable for many practical applications in real time.

Original languageEnglish
Title of host publicationProceedings of SPIE-IS and T Electronic Imaging - Color Imaging XVII
Subtitle of host publicationDisplaying, Processing, Hardcopy, and Applications
Publication statusPublished - 2012
EventColor Imaging XVII: Displaying, Processing, Hardcopy, and Applications - Burlingame, CA, United States
Duration: 2012 Jan 242012 Jan 26

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


OtherColor Imaging XVII: Displaying, Processing, Hardcopy, and Applications
Country/TerritoryUnited States
CityBurlingame, CA


  • metamerism
  • multispectral imaging
  • optimal spectral reflectance
  • reflectance estimation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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