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Pré-Publication, Document De Travail Journal of Mathematical Imaging and Vision Année : 2021

From Riemannian trichromacy to quantum color opponency via hyperbolicity

Résumé

We propose a mathematical description of human color perception that relies on a hyper-bolic structure of the space P of perceived colors. We show that hyperbolicity allows us to reconcile both trichromaticity, from a Riemannian point of view, and color opponency, from a quantum viewpoint. In particular, we will underline how the opponent behavior can be represented by a rebit, a real analog of a qubit, whose state space is endowed with the Hilbert metric.
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Dates et versions

hal-02479897 , version 1 (14-02-2020)

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  • HAL Id : hal-02479897 , version 1

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Michel Berthier, Edoardo Provenzi. From Riemannian trichromacy to quantum color opponency via hyperbolicity. 2020. ⟨hal-02479897⟩
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