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Hyperbolic geometry for colour metrics

delete2014-05-14
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Ivar Farup *
DOI:10.1364/OE.22.012369delete
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Abstract

Abstract

En 中文
It is well established from both colour difference and colour order perpectives that the colour space cannot be Euclidean. In spite of this, most colour spaces still in use today are Euclidean, and the best Euclidean colour metrics are performing comparably to state-of-the-art non-Euclidean metrics. In this paper, it is shown that a transformation from Euclidean to hyperbolic geometry (i.e., constant negative curvature) for the chromatic plane can significantly improve the performance of Euclidean colour metrics to the point where they are statistically significantly better than state-of-the-art non-Euclidean metrics on standard data sets. The resulting hyperbolic geometry nicely models both qualitatively and quantitatively the hue super-importance phenomenon observed in colour order systems. (C) 2014 Optical Society of America
Keywords:
DIFFERENCE FORMULA
SURFACE COLORS
PERCEPTION
ELLIPSES
SPACES
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Journal

Optics Express cover
Optics Express
IF:
3.3
Papers:
6.1W
Citations:
14.3W

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