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Convexity and the set of Planckian lights
by
Finlayson, Graham
, Daneshvar, Elaheh
in
Chromaticity
/ Color
/ Computer vision
/ Convexity
/ Illumination
/ Loci
/ Logarithms
2025
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Convexity and the set of Planckian lights
by
Finlayson, Graham
, Daneshvar, Elaheh
in
Chromaticity
/ Color
/ Computer vision
/ Convexity
/ Illumination
/ Loci
/ Logarithms
2025
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Journal Article
Convexity and the set of Planckian lights
2025
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Overview
The Planckian locus—a shallow curved line in chromaticity space—delimits the range of common illuminant colours. When we allow mixtures of colours the locus becomes a convex set, sometimes called an illumination gamut. Convex sets are rather simple geometric objects and are often deployed in computer vision and colour imaging and their convexity is an essential property that makes certain calculations computationally feasible.In this paper, we consider a commonly used mapping applied to the colour coordinates of lights: the logarithmic operator. Specifically, we take the logarithm of the (R, G, B) camera responses. We argue that the physical definition of Planckian illumination and the physics of image formation imply that convexity should be preserved under this transformation.
Publisher
IOP Publishing
Subject
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