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CIELAB color coordinates are characteristics of visible object¿s spectra widely used in color science, and a reliable evaluation of the uncertainty associated with measured color coordinates is desirable. The calculation of CIELAB color coordinates requires the application of a nonlinear transformation. We consider two ways to calculate the uncertainty of CIELAB color coordinates that originates from the uncertainty of the observed spectrum. The ¿rst approach is based on a linearization of the nonlinear transformation and a propagation of variances and covariances. The second approach is a Monte Carlo procedure that completely accounts for the nonlinearity of the trans- formation. While the approach based on linearization results in analytical formulas, the adequacy of linearization ought to be checked and the proposed Monte Carlo method can serve as a reference method for this purpose. We illustrate such proceed- ing in a large range of scenarios and explore those cases for which the method based on linearization may safely be applied.
Publication year: 2017
Reference: Wübbeler, Gerd; Campos Acosta, Joaquin; Elster, Clemens
"Evaluation of uncertainties for CIELAB color coordinates"
Color Research and Application; vol: 42 ; Páginas: 564 - 570 (2017)
Magazine: Color Research and Application
Running: No.
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