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Volume: 12 | Article ID: art00020

Intensity Constrained Error-Less Colour Correction

DOI : **10.2352/CIC.2004.12.1.art00020** Published Online : **January 2004**

Abstract

Colour correction is the mapping of device-dependent RGBs to device-independent standard CIE XYZs. Due to the nature of colour image formation and the existence of metamerism, this mapping is inherently one-to-many and thus ill-posed. However, normally it is solved for through an error-minimising
linear one-to-one transform.In this paper we propose to make use of a definition of metamerism while maintaining the simplicity of a linear transform in defining an error-less colour correction. We say that a mapping is error-less if the RGB-XYZ pair put in correspondence through this
mapping is such that a real, physically realisable reflectance that induces this pair exists. We show how we can solve for such a mapping using constrained linear least squares optimisation. However, since this problem is highly constrained, we introduce a notion of error in our calculations,
building on a paramer set instead (the set of reflectances that map to a small uniform region in RGB space). We show that as little as 0.5% error is sufficient for a solution to exist.We find that the metamer set constrained linear colour correction works equally well as ordinary linear
least squares in terms of the mean and median CIE Δ

Journal Title : **Color and Imaging Conference**

Publisher Name : **Society of Imaging Science and Technology**

Publisher Location : **7003 Kilworth Lane, Springfield, VA 22151, USA**

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Cite this article

Graham D. Finlayson, Peter Morovic, "Intensity Constrained Error-Less Colour Correction" in *Proc. IS&T 12th Color and Imaging Conf.*, 2004, pp 106 - 110, https://doi.org/10.2352/CIC.2004.12.1.art00020

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Copyright © Society for Imaging Science and Technology 2004