Color Reproduction Using Riemann Normal Coordinates

  • Satoshi Ohshima
  • Rika Mochizuki
  • Jinhui Chao
  • Reiner Lenz
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5646)


In this paper we use tools from Riemann geometry to construct color reproduction methods that take into account the varying color perception properties of observers. We summarize the different steps in the processing: the estimation of the discrimination thresholds, the estimation of the Riemann metric, the construction of the metric-preserving or color-difference-preserving mapping and the usage of Semantic Differentiation (SD) techniques in the evaluation. We tested the method by measuring the discrimination data for 45 observers. We illustrate the geometric properties of the color spaces obtained and show the result of the metric-preserving maps between the color space of color-normal observers and a color-weak observer. We then apply the obtained maps to produce color corrected reproductions of two natural images.


Color Space Riemann Space Discrimination Threshold Corrected Image Color Perception 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Satoshi Ohshima
    • 1
  • Rika Mochizuki
    • 1
  • Jinhui Chao
    • 1
  • Reiner Lenz
    • 2
  1. 1.Graduate School of Science and EngineeringChuo UniversityTokyoJapan
  2. 2.Department Science and TechnologyLinköping UniversityNorrköpingSweden

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