Euclidean color-difference formula for small-medium color differences in log-compressed OSA-UCS space

Area of Science:

• Color Science
• Visual Perception
• Optical Engineering

Background:

• Previous research established the DeltaEGP ellipsoidal equation for small-to-medium color differences in the Optical Society of America's Uniform Color System.
• Accurate color difference representation is crucial for applications in industry and research, impacting product development and scientific understanding.

Purpose of the Study:

• To introduce a novel color difference formula, DeltaEE, by incorporating logarithmic compression of chroma and lightness.
• To evaluate the statistical equivalence and simplicity of DeltaEE compared to established formulas like CIEDE2000 and DeltaEGP.
• To assess the formula's performance under standard observer and illuminant conditions.

Main Methods:

• Developed a new color space by applying logarithmic compression to chroma and lightness parameters.
• Formulated Euclidean color-difference equations, termed DeltaEE, within this new color space.
• Statistically compared the predictive accuracy of DeltaEE against CIEDE2000 and DeltaEGP using empirical datasets.

Main Results:

• The new DeltaEE formula demonstrates statistical equivalence to CIEDE2000 and DeltaEGP in predicting numerous empirical color difference datasets.
• DeltaEE is identified as the simplest among the compared formulas.
• The formula's validity is confirmed for the CIE 1964 Supplementary Standard Observer and D65 illuminant.

Conclusions:

• The DeltaEE formula offers a simplified yet accurate method for calculating color differences, comparable to existing standards.
• Its connection to visual processing suggests potential advantages in understanding human color perception.
• DeltaEE provides a valuable alternative for color difference evaluation in scientific and industrial contexts.