Split-quaternions for perceptual white balance

Michel Berthier, Nicoletta Prencipe, Edoardo Provenzi
4/21/2025
eess.IVcs.CV

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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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@article{berthier2025splitquaternions,
  title  = {Split-quaternions for perceptual white balance},
  author = {Michel Berthier and Nicoletta Prencipe and Edoardo Provenzi},
  year   = {2025},
  eprint = {2504.15481},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2504.15481v1}
}

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