Spectral reflectivity recovery from tristimulus values using 3D extrapolation with 3D interpolation

Bog G. Kim, John S Werner, Michael Siminovitch, Kostantinos Papamichael, Jeongwon Han, Soobeen Park

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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° 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.

Original languageEnglish (US)
Pages (from-to)507-516
Number of pages10
JournalJournal of the Optical Society of Korea
Issue number5
StatePublished - 2014


  • Color measurement
  • Extrapolation
  • Inverse problem
  • Spectral reflectivity

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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