Using suprathreshold color-difference ellipsoids to estimate any perceptual color-difference

Abstract Relating instrumentally measured to visually perceived colour-differences is one of the challenges of advanced colorimetry. Lately, the use of color difference formulas is becoming more important in the computer vision field as it is a key tool in advancing towards perceptual image processing and understanding. In the last decades, the study of contours of equal color-differences around certain color centers has been of special interest. In particular, the contour of threshold level difference that determines the just noticeable differences (JND) has been deeply studied and, as a result, a set of 19 different ellipsoids of suprathreshold color-difference is available in the literature. In this paper we study whether this set of ellipsoids could be used to compute any color difference in any region of the color space. To do so, we develop a fuzzy multi-ellipsoid model using the ellipsoids information along with two different metrics. We see that the performance of the two metrics vary significantly for very small, small, medium and large color differences. Therefore, we also study how to adapt two metric parameters to optimize performance. The obtained results outperform the currently CIE-recommended color-difference formula CIEDE2000.

[1]  D. L. Macadam.  Visual Sensitivities to Color Differences in Daylight , 1942 .

[2]  M. Melgosa,et al.  Some classical color differences calculated with new formulas , 1992 .

[3]  Samuel Morillas Gómez.  Fuzzy metrics and fuzzy logic for colour image filtering , 2011 .

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

[5]  A. George,et al.  On some results in fuzzy metric spaces , 1994 .

[6]  Mark D. Fairchild,et al.  iCAM framework for image appearance, differences, and quality , 2004, J. Electronic Imaging.

[7]  Roy S. Berns,et al.  Evaluating color difference equation performance incorporating visual uncertainty , 2009 .

[8]  M. Melgosa,et al.  Uniformity of some recent color metrics tested with an accurate color-difference tolerance dataset. , 1994, Applied optics.

[9]  Rafael Huertas,et al.  Euclidean color-difference formula for small-medium color differences in log-compressed OSA-UCS space. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

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

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

[12]  Samuel Morillas,et al.  Fuzzy analysis for detection of inconsistent data in experimental datasets employed at the development of the CIEDE2000 colour-difference formula , 2009 .

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

[14]  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.

[15]  Valentín Gregory,et al.  Some properites of fuzzy metric spaces , 2000 .

[16]  Rafael Huertas,et al.  Performance of recent advanced color-difference formulas using the standardized residual sum of squares index. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[17]  M. Vanrell,et al.  Parametric fuzzy sets for automatic color naming. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[18]  Samuel Morillas,et al.  Perceptual similarity between color images using fuzzy metrics , 2016, J. Vis. Commun. Image Represent..

[19]  Valentín Gregori,et al.  Fixed point theorems for fuzzy mappings in quasi-metric spaces , 2000, Fuzzy Sets Syst..

[20]  Mark D. Fairchild,et al.  A top down description of S-CIELAB and CIEDE2000 , 2003 .

[21]  Roy S. Berns,et al.  Suprathreshold color‐difference ellipsoids for surface colors , 1997 .

[22]  Samuel Morillas,et al.  Method to determine the degrees of consistency in experimental datasets of perceptual color differences. , 2016, Journal of the Optical Society of America. A, Optics, image science, and vision.