Error-less colour correction. Finlayson, G. D. & Morovic, P. M. In Proceedings of the 17th International Conference on Pattern Recognition (ICPR-2004), pages 181–185, August, 2004. ![Error-less colour correction [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex Colour correction is the problem of mapping device dependent RGBs to standard CIE XYZs. Traditionally it is solved for by an error minimising one-to-one linear transform. However this problem is ill-posed. There exist multiple reflectances, known as metamers, which induce the same RGB but different XYZs (and vice versa). In this paper, we propose that this ill-posedness might be viewed positively. Indeed, that it leads to an error-less transform for colour correction. We propose that a mapping is error-less if it takes an RGB to an XYZ such that there exists a real reflectance spectrum which integrates to this RGB-XYZ pair. We show how we can solve for a mapping which satisfies this error-less criterion. As in previous studies, we seek a linear transform that is error-less. We show that we can solve for such a transform by quadratic programming. Experiments demonstrate 3 important results. First, that a linear least squares transform is not error-less. Specifically, saturated RGB-XYZ pairs do not correspond to a plausible reflectance. Second, there exists a linear transform that is error-less. Finally, that the best error-less transform performs almost as well as least-squares, but substantially better for saturated colours. It is possible to map RGB to XYZ with zero error.
@inproceedings{uea22102,
month = {August},
author = {G. D. Finlayson and P. M. Morovic},
booktitle = {Proceedings of the 17th International Conference on Pattern Recognition (ICPR-2004)},
title = {Error-less colour correction},
journal = {Proceedings of the 17th International Conference on Pattern Recognition (ICPR-2004)},
doi = {10.1109/ICPR.2004.1334498},
pages = {181--185},
year = {2004},
url = {https://ueaeprints.uea.ac.uk/id/eprint/22102/},
abstract = {Colour correction is the problem of mapping device dependent RGBs to standard CIE XYZs. Traditionally it is solved for by an error minimising one-to-one linear transform. However this problem is ill-posed. There exist multiple reflectances, known as metamers, which induce the same RGB but different XYZs (and vice versa). In this paper, we propose that this ill-posedness might be viewed positively. Indeed, that it leads to an error-less transform for colour correction. We propose that a mapping is error-less if it takes an RGB to an XYZ such that there exists a real reflectance spectrum which integrates to this RGB-XYZ pair. We show how we can solve for a mapping which satisfies this error-less criterion. As in previous studies, we seek a linear transform that is error-less. We show that we can solve for such a transform by quadratic programming. Experiments demonstrate 3 important results. First, that a linear least squares transform is not error-less. Specifically, saturated RGB-XYZ pairs do not correspond to a plausible reflectance. Second, there exists a linear transform that is error-less. Finally, that the best error-less transform performs almost as well as least-squares, but substantially better for saturated colours. It is possible to map RGB to XYZ with zero error.}
}
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