Split-quaternions for perceptual white balance

Michel Berthier; Nicoletta Prencipe; Edoardo Provenzi

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arXiv · 2504.15481

Split-quaternions for perceptual white balance

Michel Berthier·Nicoletta Prencipe·Edoardo Provenzi

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Abstract

We propose a perceptual chromatic adaptation transform for white balance that makes use of split-quaternions. The novelty of the present work, which is motivated by a recently developed quantum-like model of color perception, consists at stressing the link between the algebraic structures appearing in this model and a certain sub-algebra of the split-quaternions. We show the potentiality of this approach for color image processing applications by proposing a chromatic adaptation transform, implemented via an appropriate use of the split-quaternion multiplication. Moreover, quantitative comparisons with the widely used state-of-the art von Kries chromatic adaptation transform are provided.

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Michel Berthier, Nicoletta Prencipe, Edoardo Provenzi. 2025-04-21. Split-quaternions for perceptual white balance. https://arxiv.org/abs/2504.15481

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