# Split-quaternions for perceptual white balance

arXiv: https://arxiv.org/abs/2504.15481 · HTML: https://mlsanity.com/paper/2504.15481/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 3 of its 24 references that are in the map.
- First posted on arXiv 21 Apr 2025.

## Builds on (most cited first, 3 of 3)

- [The relativity of color perception](https://mlsanity.com/paper/2504.13720/) (2025)
- [A quantum information-based refoundation of color perception concepts](https://mlsanity.com/paper/2504.10491/) (2025)
- [The quantum nature of color perception: Uncertainty relations for chromatic opposition](https://mlsanity.com/paper/2504.12303/) (2025)

## Abstract (arXiv)

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.