BERTHIER, Michel; PROVENZI, Edoardo

doi:10.3390/jimaging7020040

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BERTHIER, Michel

PROVENZI, Edoardo
Institut de Mathématiques de Bordeaux [IMB]

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Journal of Imaging. 2021-02-22

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In this paper, we provide an overview on the foundation and first results of a very recentquantum theory of color perception, together with novel results about uncertainty relations forchromatic opposition. The major inspiration for this model is the 1974 remarkable work by H.L.Resnikoff, who had the idea to give up the analysis of the space of perceived colors through metamericclasses of spectra in favor of the study of its algebraic properties. This strategy permitted to revealthe importance of hyperbolic geometry in colorimetry. Starting from these premises, we show howResnikoff’s construction can be extended to a geometrically rich quantum framework, where theconcepts of achromatic color, hue and saturation can be rigorously defined. Moreover, the analysis ofpure and mixed quantum chromatic states leads to a deep understanding of chromatic oppositionand its role in the encoding of visual signals. We complete our paper by proving the existence ofuncertainty relations for the degree of chromatic opposition, thus providing a theoretical confirmationof the quantum nature of color perception.< Réduire

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space of perceived colors

Jordan algebras

quantum theories

chromatic opposition

uncertainty relations

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The quantum nature of color perception: Uncertainty relations for chromatic opposition

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