Split-Quaternions for Perceptual White Balance: A quantum information-based chromatic adaptation transform

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