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° 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 language | English (US) |
|---|---|
| Pages (from-to) | 507-516 |
| Number of pages | 10 |
| Journal | Journal of the Optical Society of Korea |
| Volume | 18 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2014 |
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Keywords
- Color measurement
- Extrapolation
- Inverse problem
- Spectral reflectivity
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Spectral reflectivity recovery from tristimulus values using 3D extrapolation with 3D interpolation. / Kim, Bog G.; Werner, John S; Siminovitch, Michael; Papamichael, Kostantinos; Han, Jeongwon; Park, Soobeen.
In: Journal of the Optical Society of Korea, Vol. 18, No. 5, 2014, p. 507-516.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Spectral reflectivity recovery from tristimulus values using 3D extrapolation with 3D interpolation
AU - Kim, Bog G.
AU - Werner, John S
AU - Siminovitch, Michael
AU - Papamichael, Kostantinos
AU - Han, Jeongwon
AU - Park, Soobeen
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
KW - Color measurement
KW - Extrapolation
KW - Inverse problem
KW - Spectral reflectivity
UR - http://www.scopus.com/inward/record.url?scp=84928113374&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84928113374&partnerID=8YFLogxK
U2 - 10.3807/JOSK.2014.18.5.507
DO - 10.3807/JOSK.2014.18.5.507
M3 - Article
VL - 18
SP - 507
EP - 516
JO - Journal of the Optical Society of Korea
JF - Journal of the Optical Society of Korea
SN - 1226-4776
IS - 5
ER -