The Hyperbolic Geometry of Illumination-Induced Chromaticity Changes
Abstract
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.
Cite
Text
Lenz et al. "The Hyperbolic Geometry of Illumination-Induced Chromaticity Changes." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2007. doi:10.1109/CVPR.2007.383212Markdown
[Lenz et al. "The Hyperbolic Geometry of Illumination-Induced Chromaticity Changes." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2007.](https://mlanthology.org/cvpr/2007/lenz2007cvpr-hyperbolic/) doi:10.1109/CVPR.2007.383212BibTeX
@inproceedings{lenz2007cvpr-hyperbolic,
title = {{The Hyperbolic Geometry of Illumination-Induced Chromaticity Changes}},
author = {Lenz, Reiner and Latorre-Carmona, Pedro and Meer, Peter},
booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
year = {2007},
doi = {10.1109/CVPR.2007.383212},
url = {https://mlanthology.org/cvpr/2007/lenz2007cvpr-hyperbolic/}
}