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The relativity of color perception

hal.structure.identifierLaboratoire de Mathématiques et Applications [LMA-Rochelle]
dc.contributor.authorBERTHIER, Michel
dc.contributor.authorGARCIN, Valérie
dc.contributor.authorPRENCIPE, Nicoletta
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPROVENZI, Edoardo
dc.date.accessioned2024-04-04T02:46:30Z
dc.date.available2024-04-04T02:46:30Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191556
dc.description.abstractEnThe physiological mechanisms of the neural coding of colors aim at explaining how physical colors, i.e. reflected or emitted light entering the eyes from a visual environment, are converted into perceived colors, i.e. the colors that can be sensed by humans. These mechanisms are well-known to involve both three separate receptor types, the LMS cones, and spectrally opponent and non-opponent interactions resulting from the activity rates of ganglion and lateral geniculate nucleus cells. Color perception is thus a processinherently linked to an observing apparatus and to an experimental environment. The main objective of this contribution is to present a rigorous mathematical model that allows, by taking into account both trichromacy and color opponency viewpoints, to explain relativistic color perception phenomena first argued by Yilmaz in 1962. The cornerstone of the proposed approach is the description of Hering's opponency by means of a quantum system, namely a rebit, whose (chromatic) states are shown to satisfy Einstein-Poincaré relativistic addition law. This implies for instance that the Hilbert metric on the state space of the rebit is relevant to express a chromatic constancy property with respect to observer changes, as confirmed by measurements on experimental data.
dc.language.isoen
dc.title.enThe relativity of color perception
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Géométrie différentielle [math.DG]
dc.subject.halMathématiques [math]/Géométrie métrique [math.MG]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.subject.halSciences de l'ingénieur [physics]/Traitement du signal et de l'image
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-02546380
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02546380v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BERTHIER,%20Michel&GARCIN,%20Val%C3%A9rie&PRENCIPE,%20Nicoletta&PROVENZI,%20Edoardo&rft.genre=preprint


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