The narrow-band assumption in log-chromaticity space

Authors:
Eva Eibenberger;Elli Angelopoulou
Affiliations:
Pattern Recognition Lab, University of Erlangen-Nuremberg, Germany, International Max Planck Research School for Optics and Imaging, Germany, Erlangen Graduate School in Advanced Optical Technolog ...;Pattern Recognition Lab, University of Erlangen-Nuremberg, Germany, Erlangen Graduate School in Advanced Optical Technologies (SAOT), Erlangen, Germany
Venue:
ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part II
Year:
2010

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Abstract

Despite the strengths and popularity of the log-cromaticity space (LCS), there is still a significant amount of concern regarding its narrow-band assumption (NBA). Though not always necessary, this assumption is relatively common, as it leads to elegant formulations. We present a scheme for evaluating whether a deviation from the NBA will have an impact on the expected LCS values. We also introduce two metrics for measuring the divergence from the expected behavior under the NBA in LCS. Lastly, we empirically analyze how different types of reflectance spectra are affected in varying degrees by this assumption. For example, experiments with real and synthetic data show that the violation of the NBA typically has insignificant impact on bright unsaturated colors.