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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Published in | 2007 IEEE Conference on Computer Vision and Pattern Recognition pp. 1 - 6 |
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Main Authors | , , |
Format | Conference Proceeding |
Language | English |
Published |
IEEE
01.06.2007
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Series | IEEE Conference on Computer Vision and Pattern Recognition. Proceedings |
Subjects | |
Online Access | Get full text |
ISBN | 9781424411795 1424411793 1424411807 9781424411801 |
ISSN | 1063-6919 1063-6919 |
DOI | 10.1109/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. |
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ISBN: | 9781424411795 1424411793 1424411807 9781424411801 |
ISSN: | 1063-6919 1063-6919 |
DOI: | 10.1109/CVPR.2007.383212 |