The Hyperbolic Geometry of Illumination-Induced Chromaticity Changes

The non-negativity of color signals implies that they span a conical space with a hyperbolic geometry. We use perspective projections to separate intensity from chromaticity, and for 3-D color descriptors the chromatic properties are represented by points on the unit disk. Descriptors derived from t...

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Bibliographic Details
Published in2007 IEEE Conference on Computer Vision and Pattern Recognition pp. 1 - 6
Main Authors Lenz, R., Latorre Carmona, P., Meer, P.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2007
SeriesIEEE Conference on Computer Vision and Pattern Recognition. Proceedings
Subjects
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ISBN9781424411795
1424411793
1424411807
9781424411801
ISSN1063-6919
1063-6919
DOI10.1109/CVPR.2007.383212

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Summary:The non-negativity of color signals implies that they span a conical space with a hyperbolic geometry. We use perspective projections to separate intensity from chromaticity, and for 3-D color descriptors the chromatic properties are represented by points on the unit disk. Descriptors derived from the same object point but under different imaging conditions can be joined by a hyperbolic geodesic. The properties of this model are investigated using multichannel images of natural scenes and black body illuminants of different temperatures. We show, over a series of static scenes with different illuminants, how illumination changes influence the hyperbolic distances and the geodesics. Descriptors derived from conventional RGB images are also addressed.
ISBN:9781424411795
1424411793
1424411807
9781424411801
ISSN:1063-6919
1063-6919
DOI:10.1109/CVPR.2007.383212