Optimizing Parametric Factors in CIELAB and CIEDE2000 Color-Difference Formulas for 3D-Printed Spherical Objects

The current color-difference formulas were developed based on 2D samples and there is no standard guidance for the color-difference evaluation of 3D objects. The aim of this study was to test and optimize the CIELAB and CIEDE2000 color-difference formulas by using 42 pairs of 3D-printed spherical sa...

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Bibliographic Details
Main Authors: Ruili He, Kaida Xiao, Michael Pointer, Manuel Melgosa, Yoav Bressler
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/15/12/4055
Description
Summary:The current color-difference formulas were developed based on 2D samples and there is no standard guidance for the color-difference evaluation of 3D objects. The aim of this study was to test and optimize the CIELAB and CIEDE2000 color-difference formulas by using 42 pairs of 3D-printed spherical samples in Experiment I and 40 sample pairs in Experiment II. Fifteen human observers with normal color vision were invited to attend the visual experiments under simulated D65 illumination and assess the color differences of the 82 pairs of 3D spherical samples using the gray-scale method. The performances of the CIELAB and CIEDE2000 formulas were quantified by the <i>STRESS</i> index and <i>F</i>-test with respect to the collected visual results and three different optimization methods were performed on the original color-difference formulas by using the data from the 42 sample pairs in Experiment I. It was found that the optimum parametric factors for CIELAB were <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>k</mi><mi>L</mi></msub></mrow></semantics></math></inline-formula> = 1.4 and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>k</mi><mi>C</mi></msub></mrow></semantics></math></inline-formula> = 1.9, whereas for CIEDE2000, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>k</mi><mi>L</mi></msub></mrow></semantics></math></inline-formula> = 1.5. The visual data of the 40 sample pairs in Experiment II were used to test the performance of the optimized formulas and the <i>STRESS</i> values obtained for CIELAB/CIEDE2000 were 32.8/32.9 for the original formulas and 25.3/25.4 for the optimized formulas. The <i>F</i>-test results indicated that a significant improvement was achieved using the proposed optimization of the parametric factors applied to both color-difference formulas for 3D-printed spherical samples.
ISSN:1996-1944