Journal of the Optical Society of Korea

Optical Society of Korea (한국광학회)
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Spectral Reflectivity Recovery from Tristimulus Values Using 3D Extrapolation with 3D Interpolation

  • Kim, Bog G. (Department of Physics, Pusan National University) ;
  • Werner, John S. (Department of Ophthalmology and Vision Science, University of California) ;
  • Siminovitch, Michael (Design Department, California Lighting Technology Center, University of California) ;
  • Papamichael, Kostantinos (Design Department, California Lighting Technology Center, University of California) ;
  • Han, Jeongwon (Department of Housing and Interior design, Pusan National University) ;
  • Park, Soobeen (Department of Ophthalmology and Vision Science, University of California)
  • Received : 2014.06.05
  • Accepted : 2014.09.05
  • Published : 2014.10.25
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Abstract

We present a hybrid method for spectral reflectivity recovery, using 3D extrapolation as a supplemental method for 3D interpolation. The proposed 3D extrapolation is an extended version of 3D interpolation based on the barycentric algorithm. It is faster and more accurate than the conventional spectral-recovery techniques of principal-component analysis and nonnegative matrix transformation. Four different extrapolation techniques (based on nearest neighbors, circumcenters, in-centers, and centroids) are formulated and applied to recover spectral reflectivity. Under the standard conditions of a D65 illuminant and 1964 $10^{\circ}$ observer, all reflectivity data from 1269 Munsell color chips are successfully reconstructed. The superiority of the proposed method is demonstrated using statistical data to compare coefficients of correlation and determination. The proposed hybrid method can be applied for fast and accurate spectral reflectivity recovery in image processing.

Keywords

References

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