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Enhanced Model for Chromaticity Differences

  • Toni Kuparinen
  • Arto Kaarna
  • Pekka Toivanen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2749)

Abstract

We have developed a model to calculate chromaticity differences from surfaces defined from the MacAdam ellipses in CIE 1931 (x,y)-chromaticity diagram. The idea is to transform the MacAdam ellipses to circles on planes and to connect these planes to each other as two surfaces through interpolation. The distances along the surfaces are calculated by a method based on the Weighted Distance Transform On Curved Space (WDTOCS). The chromaticity difference is calculated by combining the distances on the basis of the ellipse parametrization. The surface model corrects the planar values in chromaticity difference calculation. Our method can be applied to any set of planar ellipses.

References

  1. 1.
    MacAdam, D. L.: Visual Sensitivities to Color Differences in Daylight, Journal of the Optical Society of America, vol. 42, no. 5, May 1942.Google Scholar
  2. 2.
    Hunt, R. W. G.: Measuring color, Ellis Horwood Ltd., 1987.Google Scholar
  3. 3.
    MacAdam, D. L.: Specification of Small Chromaticity Differences, Journal of the Optical Society of America, vol. 33, no. 1, Jan 1943Google Scholar
  4. 4.
    Jackson, R., MacDonald, L., Freeman, K.: Computer Generated Color, John Wiley & Sons, Chichester, England, 1994.Google Scholar
  5. 5.
    Luo, M. R., Cui, G., Rigg, B.: The Development of the CIE 2000 Colour-Difference Formula: CIEDE2000, Color Research and Application, vol. 26, no. 5, Oct 2001Google Scholar
  6. 6.
    Kaarna, A., Toivanen, P., Kuparinen, T.: Chromaticity Difference from Surfaces Defined from the MacAdam Ellipses, Proceedings of the CGIV’2002, pp. 207–212.Google Scholar
  7. 7.
    Wyszecki, G., Stiles, W. S.: Color Science: Concepts and Methods, Quantitative Data and Formulae, John Wiley & Sons, New York, 2000.Google Scholar
  8. 8.
    Sandwell, David T.: Biharmonic Spline Interpolation of GEOS-3 and SEASAT Altimeter Data, Geophysical Research Letters, 2, 139–142, 1987.CrossRefGoogle Scholar
  9. 9.
    Toivanen, P. J.: New Geodesic Distance Transforms for Gray-Scale Images, Pattern Recognition Letters, vol. 17, 1996, pp. 437–450.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Toni Kuparinen
    • 1
  • Arto Kaarna
    • 1
  • Pekka Toivanen
    • 1
  1. 1.Department of Information TechnologyLappeenranta University of TechnologyLappeenrantaFinland

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