A quantum information-based refoundation of color perception concepts

Michel Berthier (1) , Nicoletta Prencipe (2) , Edoardo Provenzi (2)

1 ULR - La Rochelle Université
2 IMB - Institut de Mathématiques de Bordeaux

In this paper we deal with the problem of overcoming the intuitive definition of several color perception attributes by replacing them with novel mathematically rigorous ones. Our framework is a quantum-like color perception theory recently developed, which constitutes a radical change of view with respect to the classical CIE models and their color appearance counterparts. We show how quantum information concepts, as e.g. effects, generalized states, post-measurement transformations and relative entropy provide tools that seem to be perfectly fit to model color perception attributes as brightness, lightness, colorfulness, chroma, saturation and hue. An illustration of the efficiency of these novel definitions is provided by the rigorous derivation of the so-called lightness constancy phenomenon.

Domaines: Physique mathématique [math-ph]; Traitement du signal et de l'image [eess.SP]

Michel Berthier, Nicoletta Prencipe, Edoardo Provenzi. A quantum information-based refoundation of color perception concepts. SIAM Journal on Imaging Sciences, 2022, 15 (4), pp.1944-1976. ⟨hal-03547825v2⟩