Color-difference formula for evaluating color pairs with no separation: ΔENS.

All color-difference formulas are developed to evaluate color differences for pairs of stimuli with hairline separation. In printing applications, however, color differences are frequently judged between a pair of samples with no separation (NS) because they are printed adjacently on the same piece of paper. A new formula, ΔENS, has been developed for pairs of stimuli with NS. An experiment was conducted to investigate the effect of different color-difference magnitudes using sample pairs with NS. 1012 printed pairs with NS were prepared around 11 CIE recommended color centers. The pairs, representing four color-difference magnitudes of 1, 2, 4, and 8 CIELAB units were visually evaluated by a panel of 19 observers using the gray-scale method. Comparison of the present data based on pairs with NS, and previously generated data using pairs with hairline separation, showed a clear separation effect. A new color-difference equation for the NS viewing condition (ΔENS) is proposed by modifying the CIEDE2000 formula. The separation effect can be well described by the new formula. For a sample pair with NS, when the CIEDE2000 color difference is less than 9.1, a larger color difference leads to a larger lightness difference, but has no effect on the chromatic difference. When the CIEDE2000 color difference is greater than 9.1, the effect is the opposite. The new formula is recommended for future research to evaluate its performance in appropriate applications.

[1]  Guihua Cui,et al.  Measurement of the relationship between perceived and computed color differences. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  R. Eskew The gap effect revisited: Slow changes in chromatic sensitivity as affected by luminance and chromatic borders , 1989, Vision Research.

[3]  Guihua Cui,et al.  Comprehensive color solutions: CAM16, CAT16, and CAM16‐UCS , 2017 .

[4]  M. Luo,et al.  Chromaticity‐discrimination ellipses for surface colours , 1986 .

[5]  Guihua Cui,et al.  Testing uniform colour spaces and colour-difference formulae using printed samples† , 2012 .

[6]  M. Luo,et al.  Uniform colour spaces based on CIECAM02 colour appearance model , 2006 .

[7]  K. Witt Parametric effects on surface color-difference evaluation at threshold† , 1990 .

[8]  B. Rigg,et al.  Modification to the JPC79 Colour–difference Formula , 2008 .

[9]  M. Ronnier Luo,et al.  Investigation of Parametric Effects Using Medium Colour-Difference Pairs , 2001 .

[10]  Guihua Cui,et al.  Colour‐difference evaluation using CRT colours. Part I: Data gathering and testing colour difference formulae , 2001 .

[11]  B. Rigg,et al.  BFD (l:c) colour-difference formula Part 1ndashDevelopment of the formula , 2008 .

[12]  Guihua Cui,et al.  Power functions improving the performance of color-difference formulas. , 2015, Optics express.

[13]  Guihua Cui,et al.  Evaluation of Colour-difference Formulae for Different Colour-difference Magnitudes , 2008, CGIV/MCS.

[14]  E. D. Montag,et al.  Influence of boundary information on the perception of color. , 1997, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  B. Rigg,et al.  BFD (l:c) colour-difference formula Part 2-Performance of the formula , 2008 .

[16]  Mary Hayhoe,et al.  The gap effect: Chromatic and achromatic visual discrimination as affected by field separation , 1977 .

[17]  M. Ronnier Luo,et al.  Investigation of parametric effects using small colour differences , 1999 .

[18]  K. Witt GEOMETRIC RELATIONS BETWEEN SCALES OF SMALL COLOUR DIFFERENCES , 1999 .

[19]  M. Luo,et al.  The development of the CIE 2000 Colour Difference Formula , 2001 .

[20]  Colour-Difference Evaluation Using CRT Colours. Part II: Parametric Effects , 2001 .

[21]  Klaus Witt Cie guidelines for coordinated future work on industrial colour‐difference evaluation , 1995 .

[22]  Hirohisa Yaguchi,et al.  Visual evaluation at scale of threshold to suprathreshold color difference , 2005 .

[23]  B. Rigg,et al.  Colour-difference ellipsoids for five CIE colour centres , 1986 .

[24]  Fred W. Billmeyer,et al.  Assessment of Color‐Measuring Instruments , 1981 .

[25]  B. Rigg,et al.  BFD COLOUR - DIFFERENCE FORMULA PART1-DEVELOPMENT OF THE FORMULA , 1987 .

[26]  Mitchell R. Balonon-Rosen,et al.  Visual determination of suprathreshold color‐difference tolerances using probit analysis , 1991 .

[27]  Samuel Morillas,et al.  Using suprathreshold color-difference ellipsoids to estimate any perceptual color-difference , 2018, J. Vis. Commun. Image Represent..